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2
                                              Preface
             The intent of this reference guide is to define low resistance, its measure-
             ment methods and the common sources of error inherent in measuring
             such a small quantity. This guide provides a general overview of electrical
             resistance including mathematical equations, connection methods to the
             device under test and methods used by measuring instruments to accu-
             rately characterize resistance. Temperature compensation, conductors
             and milliohmmeter applications are also discussed.


                                                       Low Resistance Measurement Guide
                                                                    1st Edition, June 2005
                                                           Comments: info@quadtech.com




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                                                          Maynard, Massachusetts 01754
CompuMess Elektronik GmbH                                 Tel: (800) 253-1230
  Lise-Meitner-Str.1, 85716 Unterschleissheim             Fax: (978) 461-4295
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http://www.compumess.de oder http://www.netzteile.de
                                                          Web: http://www.quadtech.com



              This material is for informational purposes only and is subject to change
              without notice. QuadTech assumes no responsibility for any error or for
              consequential damages that may result from the misinterpretation of any
              procedures in this publication.


                                                   3
4
                                        Contents
Terms and Definitions                   7        Verification of a Milliohmmeter            26
                                                     Standards                              26
Resistance                              9
                                                     Current Shunt                          26
   Properties                           9
                                                     Safety                                 26
   Measurement                          9
   Conductors                           10       External Connection to a Milliohmmeter     27
     Temperature Dependence             10          Remote I/O                              27
     Length & Cross-sectional Area      10          RS-232 Interface                        27
     Conductor Size: AWG                11          IEEE-488 Interface                      27
     AWG & Resistivity                  12          RS-232 and IEEE-488 Control             28
     Stranded Wire                      12          LR2000 Virtual Front Panel Wizard       28
     Summary                            12
                                                 Applications of Milliohmmeters             29
Milliohmmeter Design Characteristics    13          Surface Resistivity                     29
    The 2-Wire Measurement              13          Cable Testing                           29
    The 4-Wire Measurement              14          Component Testing                       30
    AC vs. DC Resistance Measurements   14
    AC Milliohmmeters                   15       Examples of High Performance Testers       31
    LCR Meters                          15          Milliohmmeters                          31
    Ground Bond Testers                 15              LR2000 Milliohmmeter                31
    DC Milliohmmeters                   15              LR2000 Virtual Front Panel Wizard   31
    DC Sources                          16          Cable Testers                           32
                                                        Horizon LV1 Wiring Analyzer         32
Milliohm Measurement Parameters         17              Horizon HV1 Wiring Analyzer         32
    Accuracy                            17              Horizon SCSI Wiring Analyzer        33
    Speed                               17              Fusion HV Wire & Cable Analyzers    33
    Ranging                             17
                                                    Dedicated Function Test Instruments     33
Error Sources in Milliohmmeters         18
                                                       LCR Meters                           33
    Noise                               18
                                                       Megohmmeters                         33
    The Thermal emf Factor              18
                                                       Hipot Testers                        33
      Current Reversal                  19
                                                       Electrical Safety Analyzers          33
      Offset-Compensated Ohms           19
    Dry Circuit Testing                 19
    Offset Compensation                 20       Appendix A                                 35
                                                    Formulas                                36
Temperature Compensation                21
                                                    Tables                                  39
   Formula                              21
                                                    Helpful Links                           41
   Conductor Resistance vs. Temperature 21
                                                    Meg/Mil Selection Guide                 43
   Semiconductors                       22
   Superconductors                      22
                                                 Application Note Directory                 45
Connection to a Milliohmmeter           23
   Test Leads                           23       Glossary                                   49
   Kelvin Clip Leads                    23
   Component Test Fixture               24
   Probe Lead Set                       24

Connection Techniques to Reduce Error 25
   Reliable Connections               25
   Zeroing                            25
   Proper 4-Terminal Positioning      25




                                             5
6
                               Terms and Definitions
Resistance                     the opposition to the flow of current characteristic of a medium, substance
                               or circuit element.

    Low Resistance:            Electrical resistance typically below 10 ohms, often expressed in terms of
                               milliohms (10-3) or micro-ohms (10-6).

    Bonding Resistance:        Electrical resistance across weld joints, crimped connections and bolted joints.

    Contact Resistance:        Measured resistance of closed contacts, typically that of switches, relays and
                               connectors.

    Dry Contact Resistance:    Resistance across closed contacts is usually decreased, with applied voltage,
                               due to attraction of molecules on the surface of contacts. By limiting the test
                               voltage and current, electrical changes to the contacts are minimized.

    Winding Resistance:        Electrical resistance of windings which comprise motors, coils, transformers,
                               relays and ballasts.

Resistivity:                   the electrical resistance of a material to the flow of current times the
                               cross-sectional area of current flow and per unit length of current path. It is
                               also known as 'specific resistance'.

Conductivity:                  the ratio of electric current density to the electric field in a material. Conductivity
                               is also known as 'specific conductance' and is the reciprocal of resistivity.

Current:                       the flow of electric charge per unit time.

    Constant Current:          Current that the measuring instrument will output during a resistance test,
                               independent of device loading.

    Current Polarity:          Test signal type: positive or negative DC, or positive or negative pulse.
                               Helps reduce thermal emf effects.

emf:                           Electromotive force: the difference in electric potential that exists between two
                               dissimilar electrodes immersed in the same electrolyte or otherwise connected
                               by ionic conductors.

Thermal emf:                   the voltage generated by connecting two dissimilar metals, at different
                               temperatures, together.

Temperature Compensation:      Measurements corrected from an ambient temperature back to a reference
                               temperature (usually 20 degrees C)

Four Wire Kelvin Connection:   A four-terminal connection: one pair of terminals to apply current to a device
                               and another pair to measure voltage across the device.

Zero Offset:                   A correction for residual resistance resulting for the test leads and connection.
                               Determined by a SHORT routine with the Kelvin lead test points shorted
                               together.

Basic Measurement Accuracy: the accuracy of most measurements in %, except the extreme low or
                            high measurement range values.



                                                        7
                          Terms and Definitions
                                    Table 1: Mathematical Prefixes


                 Multiple                   Scientific      Prefix    Symbol
                 1000000000000000            1015            Peta       P
                 1000000000000               1012            Tera       T
                 1000000000                   10 9           Giga       G
                 1000000                      10 6          Mega        M
                 1000                         10 3           Kilo       k
                 1                            10 0             --       --
                 .001                         10-3            milli     m
                 .000001                      10-6          micro           µ
                 .000000001                   10-9           nano           n
                 .000000000001               10 -12          pico           p
                 .000000000000001            10 -15         femto           f


Table 1 lists mathematical prefixes used in quantifying electrical measurements. For low resist-
ance measurements, the most common units are ohms (), milli-ohms (m) and micro-ohms
(µ).

Note: The symbol for Kilo-ohms (k) is a lower case k. An upper case K is the symbol for
degrees Kelvin.

Refer to the GLOSSARY for a full set of electrical terms and definitions.




                                                   8
                                          Resistance
Properties                                                                i
Electrical resistance is a property of any mate-
rial that opposes the flow of current.
Resistance has units of ohms, with the Greek                                      DUT      V
                
letter omega ( ) being the standard symbol.
Resistance cannot be directly measured.
Instead, voltage and current are measured and
the resistance calculated using Ohm's Law.                          Figure 1: Signal Source
Ohm's Law, after German physicist George               Most low resistance meters utilize a constant
Simon Ohm, is the algebraic relationship               current source and a voltmeter circuit to meas-
between voltage, current and resistance shown          ure the voltage across the DUT. The use of a
in Equation 1.                                         constant current source simplifies the circuitry
                                                       required to perform the measurement. Rather
                        V
              R=                                       than having a signal generator and two meas-
                        I                              urement circuits one for current measurement
                                                       and the other for voltage measurement. The
              R = Resistance in ohms                   use of a constant current means the current is
              V = Voltage in volts                     a known and only the voltage has to be meas-
              I    = Current in amperes                ured. This eliminates one entire measurement
                                                       circuit. The resistance is then calculated by
             Equation 1: Ohm's Law                     dividing the measured resistance by the con-
                                                       stant current value. Refer to Figure 2.
Depending upon the application of the materi-
al, the material is typically defined as a con-                               i
ductor or insulator. Materials designed to max-
imize opposition to current flow, thus having
high resistance being classified as insulators.                    1A             DUT       V
Materials such as glass, mylar and mica are
examples of insulators. Materials designed to                                                      V
                                                                                    Resistance =
have a low resistance and thus minimizing                                                          1A

opposition to current flow being classified as
conductors. Materials such as copper, gold and                 Figure 2: Constant Current Source

steel are examples of conductors.
                                                       Instruments for the measurement of low resist-
                                                       ance typically use two different connection
Measurement
                                                       methods. The 2-wire and 4-wire connection
The measurement of low resistance is accom-            methods are both used for low resistance
plished using a signal source, a voltmeter, a          measurements. The resistance value being
current meter and Ohm's Law. The DUT is                measured and the required accuracy dictate
placed across the signal source and the volt-          which method is used.
age and current are measured. Figure 1 illus-
trates this basic circuit.




                                                   9
                                         R = Resistance               ohm          
                                          = resistivity               ohm meter    m
                                         l=   length                  meter        m
                                         A = cross-sectional area     meter 2      m2
                                l
                             Length                                                     1meter

                                                           Cross                                    A= 1m2   At 20oC:
                                                                                        Copper
                         Conductor                 A      Sectional                                          RCu = 1.7x10- 8 
                                                            Area

                                 l                                                            RA
           Resistance      R=                                                           =
                                     A                                                          l
                                                                                            (1.7x10 -8)1m2
                                 RA                                                     =
           resistivity     =                                                                       1m
                                     l
                                                                                        =    1.7x10 -8   m      Copper provides a
                                                                                                                very low resistance to
                                                                                        =    0.000000017  m     the flow of current,
                                                                                                                therefore it is a good
                                                                                                                conductor.


                                                  Figure 3: Copper Characteristics


Conductors                                                                      Temperature Dependence
Prior to discussing the design characteristics                                  Notice the clarifier 'at room temperature'. For a
and error sources inherent with milliohm meas-                                  conductive material, when the temperature of
urements, a review of conductor resistance                                      the material increases so does its resistivity.
characteristics is beneficial. The material                                     The resistivity of a typical metal increases lin-
under test has unique resistance properties                                     early with a temperature increase. The resis-
that may determine what method is used to                                       tivity of a typical semiconductor (silicon)
measure it. Review for a moment the proper-                                     decreases exponentially with a temperature
ties of a conductor as shown in Figure 3.                                       increase. The resistivity of an insulator (glass,
                                                                                quartz, sulfur) decreases at an even greater
                                                                                rate with a temperature increase. All materials
Conductive materials have one or two loosely
                                                                                do not conduct electricity equally. For more
bound electrons in the outer shell that can
                                                                                information on temperature refer to the
move easily when a voltage is applied and thus
                                                                                Temperature Compensation section.
form a current. A material with a bulk resistivi-
ty between 10-6 and 10-4 ohm-cm is consid-
ered a decent conductor. Pure or elemental                                      Length and Cross-sectional Area
metals such as silver, copper, gold and alu-                                    Two other factors affect the resistivity meas-
minum are good conductors. When an impuri-                                      urement: length and cross-sectional area. If
ty is added to a metal it increases the resistivi-                              one had two copper wires each 1-meter in
ty. Alloys which are combinations of metals                                     length, one with a thickness of 0.45mm and the
have a higher resistivity than the metals they                                  other 0.28mm, which would have the greater
are made from. For example, at room temper-                                     resistivity? The thickness of wire inversely
ature, nickel (Ni) has a resistivity of approxi-                                affects resistivity which translates the thinner
mately 6.84x10-8 -m. Nichrome, made of                                          wire would have the greater resistivity. The
80% nickel and 20% chromium (Ni 80Cr20), has                                    thicker wire offers less resistance because its
a resistivity of approximately 100x10-8 -m.                                     larger cross-section permits more electrons to

                                                                       10
                                Table 2: Resistivity of Common Conductors
                               Resistivity at room temperature: 20° C, 300K, 68 °F

             Material              Symbol        Resistivity       Conductivity          Temperature
                                                                                          Coefficient
                                                   µ-cm              per -m                per °C
             Element Metal
                                                                                7
               aluminum              Al             2.65             3.77 x 10             0.0042
                                                                              7
               copper                Cu             1.67             5.95 x 10             0.0040
               gold                  Au             2.21             4.55 x 107            0.0037
                                                                              7
               iron                  Fe             9.66             1.03 x 10             0.0056
                                                                              7
               lead                  Pb             20.65            0.43 x 10             0.0042
               magnesium             Mg              4.3             2.33 x 107
                                                                               7
               manganese             Mn              144            0.072 x 10
                                                                              7
               nickel                Ni             6.93             1.43 x 10             0.0058
               platinum              Pt             10.5             0.96 x 107            0.0037
                                                                              7
               silver                Ag             1.59             6.29 x 10             0.0038
                                                                              7
               tantalum              Ta             13.1             0.76 x 10                                    Note:
               titanium              Ti               42             0.24 x 107
                                                                              7                              Tables 2 & 7
               tungsten              W              5.28             1.89 x 10             0.0044
                                                                              7                               contain data
               zinc                  Zn             5.92             1.69 x 10             0.0038
                                                                                                            from different
             Alloy Metal
                                                                                    7                         sources and
               nichrome            Ni80Cr20          110            0.095 x 10            0.00017
                                                                              7                             thus have dif-
               manganin*           CuMnNi           48.21           0.207 x 10           ± 0.000015
               steel**              FeC             16.62           0.502 x 10
                                                                              7
                                                                                            0.003            ferent values
             Semiconductors                                                                                 for Resistivity
               carbon (graphite)     C              3500             2.9 x 10
                                                                                4
                                                                                           -0.0005             and Temp
               germanium (pure)      Ge             46000               2.2                 -0.048            Coefficient.
               silicon (pure)        Si           64000000            0.0016                -0.075              Refer to
                                                                                                              Appendix A
             * Manganin composed of 83% copper, 13% manganese and 4% nickel                                    for Tables
             ** Steel composed of 99.5% iron and 0.5% carbon                                                and Sources.

interact with the electric field. Since there is               with increasing gauge number. If the gauge is
more current than voltage, the resistance will                 increased by 6 AWG, then the diameter
be lower. Translated another way, if the                       decreases by a factor of 2. Example: 30AWG
area/cross-section of a wire is doubled, its                   wire has a diameter equal to 10mils. Add 6
resistance is cut in half.                                     gauge and a 36 AWG wire has a diameter
As for the relationship of the length of a wire to             equal to 5mils. Table 3 illustrates the general
its resistance: double the length of a wire and                rule of thumb for the gauge and diameter rela-
you double its resistance. Again, having two                   tionship. Equation 2 defines the mathematical
copper wires 1-meter in length each with its                   relationship between AWG number and wire
own specific resistance. If the two wires of                   diameter.
equal resistance are put together, two equal                                       Table 3:
resistances in series will add.                                Relationship of Gauge to Diameter for Solid Wire


                                                                           When the              Then the
Conductor Size: AWG                                                         GAUGE               DIAMETER
                                                                         increases by:     decreases by factor of:
In the United States, AWG or American Wire                                     6                     2
Gage is the standard designation for conductor                                10                     3
                                                                              12                     4
size. AWG is based on two reference diame-                                    14                     5
ters: 0.4600 inches (4/0 AWG) and 0.5000                                      20                    10
inches (36 AWG). Wire diameter decreases                                      40                   100



                                                       11
                                             39 x    log (200D)
                 AWG:    =      36 -                                                   Stranded Wire:
                                                    log (92)
                                                                                       The size of stranded wire is determined using
                                                    36   - AWG
                                                         39
                                                                                       the equivalent cross-sectional area of the bun-
                 D       =      0.005        92
                                                                                       dle. Stranded wire is a bundle of small-gauge
                                                                                       wires wrapped in a single layer of insulation.
                 D = Diameter in inches
                                                                                       Stranded wire has a larger cross section than
        Equation 2: Relationship of AWG and D                                          solid wire and less resistance. (Figure 4)

AWG and Resistivity
Turning attention back to the discussion of con-
                                                                                       Summary
ductor resistivity, the information herein is                                          All wires (conductors) are not created equal. A
based on solid copper wire. Solid wire is often                                        wire's resistivity is affected by the material(s)
referred to as single end. Recall the resistivity                                      that it is made of, its thickness (cross-sectional
of copper at 20°C is 1.724x10-8 ohm-meters.                                            area), its length and the temperature in which it
                                                                                       is used. Wires are made of metal for their
         Table 4: Solid Wire: AWG & Resistivity
                                                                                       charge carrying capability. Yet heat metal and
 AWG Size            Diameter     Diameter          Resistance    Resistance
                                                                                       its molecular structure changes causing con-
  (Solid Wire)         (mm)       (inches)          /1000feet     /1000meters          ductivity to decrease and resistivity to increase.
 0000 (4/0)           11.684       0.4600             0.049          0.1607
  000 (3/0)           10.404       0.4096            0.0618          0.2027            Double the thickness of a wire and cut its
   00 (2/0)           9.266        0.3648             0.078          0.2555            resistance in half. Double the length of a wire
    0 (1/0)           8.252        0.3249            0.0983          0.3224
       1              7.348        0.2893             0.124          0.4063            and its resistance doubles. Choose the con-
       5              4.621        0.1819            0.3133          1.0276            ductor material based on its end-use: copper
      10              2.588        0.1019            0.9989           3.28
      12              2.052        0.0808             1.588           5.21             has a resistivity of 1.72µ-cm which is good for
      14              1.6256       0.0640             2.525           8.28
      16              1.2903       0.0508             4.016           13.2
                                                                                       low resistance applications; nichrome has a
      18              1.0236       0.0403             6.385           20.9             resistivity of 110µ-cm making it a good choice
      20              0.8128       0.0320             10.15           33.2
      22              0.6451       0.0254             16.14           52.7             for high temperature applications like heat sen-
      24              0.5105       0.0201             25.67           84.2             sors.
      30              0.2540       0.0100             103.2         338.496
      36              0.1270       0.0050             414.8           1360                                         Note:
      40              0.0787       0.0031             1049            3440
                                                                                       Circular Mils is often used to describe conductor size.
                                                                                        Circular Mils = the square of the diameter of the wire
                                                                                              in mils: CM = (d(mil)) 2. 1 mil = .001 inch.


     Copper Wire:                   Single                            7 Strand                   19 Strand




                                                                                                                                    Figure 4:
     #Strands/AWG:                     1/30                             7/38                      19/42
                                                                                                                              Stranded Wire
     AWG:                               30                               30                         30

     Nominal Diameter:             0.0100 inches                       0.0114 inches              0.0123 inches
                                    0.254           mm                  0.290    mm               0.312      mm
     Resistance:                    347.2           /km                 324.8    /km              324.8      /km


 * Nominal Diameter (for reference only) and Resistance values from http://www.fiskalloy.com.


                                                                                  12
             Milliohmmeter Design Characteristics
The 2-Wire Measurement                                                          performed. The measured value is the offset
                                                                                resistance and is subtracted from all future
Most of today's digital multi-meters (DMM) and
                                                                                measurements. The use of offset works fine as
some dedicated resistance measurement
                                                                                long at the offset resistance is a constant.
instruments utilize a 2-wire test method. The 2-
wire method is the simplest and most econom-
ical arrangement. As the name implies two                                       If the offset resistance changes significantly in
wires are used to connect between the meter                                     comparison with the resistance to be meas-
and the DUT. In the 2-wire method, the test                                     ured; due to contact resistance between leads
current (I TEST) is forced through the test leads                               and DUT, changing of lead length, or use of
and across the resistance (RDUT ) being meas-                                   relays, then the offset cannot be used for accu-
ured. The meter then measures the voltage                                       rate measurements. One way of determining if
across the resistance through the same set of                                   offset can be used, is to perform an offset then
leads and the resistance value is calculated                                    open and short the test leads. A measurement
using Ohm's Law. Figure 5 illustrates the 2-                                    is then performed. Ideally with that previous off-
wire connection to DUT.                                                         set performed, the measured value should be
                                                                                zero. It will never be exactly zero as the con-
                                                                                tact resistance will have changed. If the
The resistance of the test lead (R LEAD) is the                                 amount of change is small in comparison to the
concern with the 2-wire method when making                                      resistance being measured then a 2-wire
low resistance measurements. The test cur-                                      measurement with offset can be used.
rent (ITEST ) causes a small yet significant volt-
age drop across the lead resistances. The volt-
age drop (V METER ) measured by the meter will                                  One example where the 2-wire method even
not be exactly the same as the voltage (V DUT )                                 with offset is not ideal for low resistance meas-
                                                                                urements is when relays are used to switch
directly across the device under test (R DUT) and
                                                                                between multiple test points. This is due to
considerable errors can result. Typical lead
                                                                                each relay having a static contact resistance
resistances commonly range from 0.01 - 1
                                                                                that is different from relay to relay as well as
making accurate 2-wire measurements below
                                                                                contact resistance stability that is the change of
10 difficult to obtain.
                                                                                contact resistance over successive closures of
                                                                                the same relay.
It is possible to zero out leads to improve 2-wire
measurements. During a zero the test leads
are shorted together and a measurement is

              DMM                                                                   VMETER = Voltage measured by meter
                                              R LEAD (HI)          ITEST
                                HI
                                                                                    VDUT = Voltage across DUT (device under test)

                                                                                                                 VMETER
                                                                                    Measured Resistance =                   =       R DUT +   (2 x R LEAD )
                       VMETER        VMETER                 VDUT        R DUT
                                                                                                                  ITEST

                                                                                                                  VDUT
                                                                                    Actual Resistance =                     =       R DUT
                                LO                                                                                 ITEST
                                              R LEAD (LO)



                                       Figure 5: 2-Wire Connection to DUT

                                                                   13
              DMM or Milliohmmeter
                                            R LEAD (Drive)          I TEST
                             Drive HI
                                                                                     VMETER = Voltage measured by meter

                             Sense HI       R LEAD (Sense)
                                                                                     VDUT = Voltage across DUT (device under test)

                                                                                     Because Sense Current is negligible:                               VMETER     =     VDUT


                         V METER        VMETER               VDUT        R DUT
                                                                                                                                   VMETER                        V DUT
                                                                                     Measured Resistance =                                               =
                                                                                                                                     ITEST                       ITEST


                             Sense LO       R LEAD (Sense)


                             Drive LO       R LEAD (Drive)



                                             Figure 6: 4-Wire Connection to DUT

The 4-Wire Measurement                                                           sible to the DUT. The use of a 4-wire connec-
                                                                                 tion is ideal for use with relays because contact
Due to the limitations of the 2-wire method, the
                                                                                 resistance does not effect the measurement.
4-wire (Kelvin) connection is implemented in
                                                                                 The drawback is that four relays are required
most milliohmmeters. In this connection 4
                                                                                 for each DUT making switching expensive and
wires are connected between the meter and
                                                                                 complicated.
the DUT. One set of leads drives the current
and the second set of leads senses the voltage                                   Figure 7 illustrates a typical milliohmmeter.
across the DUT. Figure 6 illustrates a typical 4-                                The milliohmmeter has 2 black (Drive-, Sense-
wire connection to DUT. In this configuration,                                   ) and 2 red (Sense+, Drive+) connectors creat-
the test current (I TEST ) is forced through the                                 ing a 4 terminal Kelvin connection.
DUT (R DUT) through one set of leads called
                                                                                               QuadTech           LR2000 Milliohmmeter
drive, while the voltage across the DUT (V DUT )                                                
                                                                                                Rx :      2.549     m

is measured by a second set of leads called
sense.                                                                                1   0
                                                                                                                    (-)               (+)

Although some small current may flow through
the voltage leads it is usually small enough to                                                             DRIVE
                                                                                                                    (-)
                                                                                                                          SENSE   SENSE
                                                                                                                                          (+)
                                                                                                                                                DRIVE



be ignored. Since the voltage drop across the


                                                                                                                                                                                +
voltmeter leads is negligible, the voltage across                                                          QuadTech LR2000-50 TEST LEADS
                                                                                                                                                                                    DUT




                                                                                                                                                                                -
the meter can be considered the voltage
across the DUT. In essence the resistance of
the DUT (R DUT) can be measured more accu-                                                    Figure 7: 4-Terminal Milliohmmeter
rately with the 4-wire method. The voltage
sensing leads should be connected as close as                                    AC vs. DC Resistance Measurements
possible to the DUT to avoid including the
                                                                                 Resistance can be measured using an AC or a
effects of the voltage drop across the test leads
                                                                                 DC signal. The AC resistance, at low frequen-
in the final measurement
                                                                                 cies, is almost identical to the DC resistance
The 4-wire method minimizes errors due to                                        (DCR). Resistance does increases as fre-
contact resistance of the leads to the DUT,                                      quency increases due to additional losses with-
changing lead lengths and use of relays. The                                     in the material so at higher frequencies the AC
4-wire method is more expensive and compli-                                      resistance will be higher than DC resistance.
cated to implement. Care also has to be taken
to make the Kelvin connection as close as pos-

                                                                    14
AC Milliohmmeters                                        a measurement range from 1m to 0.5.
                                                         Ground bond testers are designed to test the
AC milliohmmeters typically measure resist-
                                                         integrity of protective grounding conductor
ance at a frequency of 1kHz and are ideal for
                                                         within an electrical product with a 3-prong
applications such as measuring internal battery
resistance. There is not a lot of difference             power cord.
between an AC milliohmmeter and an LCR
meter with the exception that AC milliohmme-
ters typically have higher drive currents up to
10mA. The higher drive currents help in mak-
ing more accurate low resistance measure-
ments down to 10µ. Some AC milliohmme-
ters can measure inductance, phase and other
impedance parameters besides resistance.
                                                                   Figure 9: Ground Bond Tester

LCR Meters
LCR meters are similar to an AC Milliohmmeter
                                                         DC Milliohmmeters
except they are not dedicated to measuring just          Most milliohmmeters use a DC signal instead
AC resistance. LCR meters are designed to                of an AC signal. DC milliohmmeters feature a
measure inductance, capacitance and resist-              wide measurement range from 1µ to 2M.
ance. Most LCR meters have a wide meas-                  Most milliohmmeters have different current lev-
urement range for resistance from a few mil-             els depending upon the resistance to be meas-
liohms to several megohms, programmable                  ured that range from 1uA to 1A with some
test frequency and programmable test signal              instruments going as high as 10A.
level. LCR meters are ideal for measurement
of battery impedance and resistance, equiva-
lent series resistance of capacitors, and resist-
ance and impedance characteristics of materi-
als and components.
                                                                 Figure 10: Example Milliohmmeter
                                                         As discussed earlier in this guide a milliohm-
                                                         meter must output a constant current, measure
                                                         the voltage across the DUT and use Ohm's
                                                         Law to calculate the resistance. When design-
          Figure 8: Example LCR Meter                    ing a milliohmmeter the designer wants to have
Ground Bond Testers                                      the measured voltage across the DUT at a rea-
                                                         sonable level to reduce errors due to noise,
Another type of an AC resistance-measuring               minimize the complexity of the measurement
instrument is the ground bond tester. A ground           circuitry and make the instrument as safe as
bond tester is similar to an AC milliohmmeter in         possible to use. Typically most milliohmmeters
design, consisting of a constant current source          have a maximum measurement voltage of 4.5
and voltmeter circuit. The big difference is the         volts and a maximum current level of 1A.
amount of current used during testing and a              There are milliohmmeters that do utilize higher
very limited range of resistance measurement.            current levels of up to 100A or more.
Test currents are typically from 3A to 45A with
                                                    15
DC Sources                                                                                                                                                               DUT

There are a number of different types of DC                                                                                                                              LMEAS

signals used for measurement. Some of the                                          Source Current through DUT
                                                                                                                         ISOURCE                        VMETER
different types used in the LR2000 are shown                                                                                                                             RMEAS
in Figure 11. It is important to select the appro-
priate type of DC signal depending upon the
DUT being measured.
                                                                                 L/R Time Constant is greater than                   Circuit for testing Resistance of
The PULSE± mode is a positive/negative                                                     Pulse Width                                   an INDUCTIVE device

square wave that switches the source signal
from +2V to 0V to -2V to 0V. This mode has the
                                                                                                            Figure 12: Inductive DUT
advantage that errors due to thermal emf are
cancelled out due to polarity switching and a
reduced duty cycle can limit heating of the                                         The PULSE+ mode is a positive square wave
DUT. Thermal emf errors are discussed later in                                      that switches the source signal for +2V to 0V.
this guide.                                                                         The PULSE- mode is a negative square wave
Although pulsing the test current provides the                                      that switches the source signal for -2V to 0V.
benefits of compensating for thermal emf and                                        These modes have the main advantage of a
                                                                                    reduced duty cycle to minimize heating. As the
minimizing device heating, current pulsing may
cause errors in testing inductive devices. The                                      square wave has only one polarity, errors due
inductance of the DUT may prevent the current                                       to thermal emf are not cancelled out.
through the device from reaching its maximum                                        The DC+ and DC- modes provide the source
value before the voltage measurement is                                             signal equal to +2V and -2V respectively.
made. This phenomenon is due to the L/R time                                        These modes are ideal for inductive devices.
constant being larger than the current pulse
width. When this is the case, the current never                                     The STBY mode puts the instrument in stand-
reaches its maximum value resulting in an over                                      by status with no signal being output to the
estimation of the measured resistance. The                                          DUT. This allows connection to the DUT with-
                                                                                    out the worry of transients or dangerously high
solution is to use 'straight', non-pulsed DC test
current when testing an inductive device. Take                                      voltages being produced by cutting off the cur-
into consideration the previous discussion that                                     rent to an inductive device.
such test currents could produce device heat-
ing depending upon the DUT.                                                                                          Figure 11: DC Signal Types

           V     PULSE +/- : +2V   0V   -2V       0V    V    PULSE +: +2V         0V                            V    PULSE - : -2V       0V

          +2V                                          +2V                                                   +2V


           0V                                          0V                                                     0V
                                              t                                                        t                                                         t
           -2V                                         -2V                                                    -2V




           V     DC + :   +2V                           V    DC - :   -2V                                       V    STBY :   Instrument in Standby Mode

          +2V                                          +2V                                                   +2V


           0V                                          0V                                                     0V
                                                   t                                                   t                                                         t
           -2V                                         -2V                                                    -2V




                                                                            16
              Milliohm Measurement Parameters
When considering which milliohmmeter will               Slow). The measurement speed can also be
best solve your test requirements, there are            referred to as measurement time or integration
three important measurement parameters                  time. Accuracy is always specified with the
worth examining: accuracy, speed and ranging.           slowest measurement speed, generally 1 sec-
Milliohm measurements can be made with                  ond per measurement.
instruments of all shapes and sizes yet meas-
urement to the milli (10-3) ohm requires accu-
                                                        Ranging
racy and resolution below 10-3 .
                                                        To maintain a balance between the maximum
                                                        voltage and currents limits as well as make an
Accuracy                                                accurate measurement, most milliohmmeters
Most quality milliohmmeters will state accuracy         have several measurement ranges. Lower
as having two parts: one being a % of reading           resistances ranges use higher currents and
and the second part as either a number of               higher resistances ranges use lower current.
counts, least significant digits or a resistance        For resistance ranges from 1µ to 2M a mil-
value. The first part covers basic accuracy with        liohmmeter like the LR2000 uses currents from
the second part taking into account resolution          1A to 1µA respectively. For example if when
and noise. The LR2000 Milliohmmeter accura-             measuring a 2M resistor a current source of
cy is stated separately for each resistance             1µA might be used to keep the measured volt-
range. For example, the 20m range has an                age to 2V. As the resistance is reduced the
accuracy of ±[0.05% of reading+0.06m]. This             current would be increased at a similar rate so
means that as the measured resistance value             at 2k a current source of 1mA would be used.
approaches 0.06m  the error approaches                  At very low resistance values the voltage
100%.                                                   across the DUT even at current levels of 1A
                                                        becomes very small, usually in the µV range.
                                                        This typically results in noisy measurements
The number of digits that are displayed deter-          and additional error. Errors in milliohmmeter
mines the resolution of the instrument. A count         measurements are discussed in the next sec-
is the least significant digit that can be dis-         tion.
played. For example if the accuracy specifica-
tion is given as ±[0.05% of reading + 3counts]
and the display resolution is 0.001m, the                 Range        Resolution         Accuracy          Test Current
accuracy specification then becomes ±[0.05%             (Full-Scale)                                         (Typical)
                                                           20m            1µ        ±(0.1% of rdg +.006m)        1A
of reading + (3 * 0.001m)] or ±[0.05% of read-            200m           10µ        ±(0.05% of rdg +.06m)     100mA
ing + (0.003m)].                                             2          100 µ       ±(0.05% of rdg +.6m)       10mA
                                                            20            1m         ±(0.05% of rdg +6m)        1mA
                                                           200           10m        ±(0.05% of rdg +40m)        1mA
                                                            2k          100m          ±(0.05% of rdg +.2)       1mA
Speed                                                      20k             1           ±(0.1% of rdg +2)      100µA
                                                          200k            10          ±(0.2% of rdg +20)       10µA
Measurement speed is an important considera-                2M           100         ±(0.4% of rdg +200)        1µA
tion when it comes to accuracy. Accuracy and
speed are inversely proportional. That is the                    Table 5: LR2000 Measurement Ranges
more accurate a measurement the more time it
takes to perform the measurement.
Milliohmmeters meters will generally have 3
measurement speeds (Fast, Moderate or

                                                   17
                       Error Sources in Milliohmmeters
There are a number of different sources of                                      instrument's ability to measure very low voltage
errors in low resistance measurements.                                          levels, thermal emf can significantly contribute
Thermal emf (electro-motive force) and noise                                    to low resistance measurement error.
are common errors. Dry circuit and zero cali-
bration errors also account for inaccuracies in                                 External to the DUT, each connection or con-
low resistance measurements.                                                    nector in a test setup is a possible thermal emf
                                                                                source. These include connections between
Noise                                                                           the DUT and the input cables; connections
                                                                                within the input cables and connections
It is important to understand the different types                               between the input cable and the instruments
of noise sources and techniques for minimize                                    input connector. Even connections internal to
the noise effects. This goes for any type of low                                the instrument can cause thermal emf.
voltage measurement. Magnetic fields create                                     Thermal emf sources external to the DUT can
noise in cables in two ways. Noise is created                                   be canceled out by the zeroing function.
within test leads when the magnetic field
changes with time or the test leads move with-
in the magnetic field. The best way to prevent                                  Simple instrument zeroing will not compensate
noise issues is to keep test leads short and                                    for the thermal emf sources associated with
eliminate motion in the leads. The leads                                        connections within the DUT or in other connec-
should also be shielded.                                                        tions beyond the instrument's input terminals
                                                                                (the point at which zeroing is performed).
                                                                                Suggested techniques for minimizing thermal
The Thermal emf Factor                                                          emf include using only clean crimped-on simi-
Thermal emfs are small voltages developed at                                    lar metal (copper to copper) connections and
the junctions of dissimilar metals. The magni-                                  keeping all junctions at the same temperature.
tude of thermal emf depends on both the type                                    This is not practical in all test applications so
of metal used and the temperature difference                                    there are two common methods that are used
between the junctions. Since low resistance                                     in many milliohmmeters to circumvent this
measurements are dependent on the test                                          problem. The two methods are Current
                                                                                Reversal and Offset-Compensated Ohms.

                                            Vemf                                                               Vemf
                                                          +                                                                    -

                ISOURCE                                       VMETER          ISOURCE                                                  VMETER
                                             RMEAS        -                                                     RMEAS          +




            VMETER = Meter Voltage        VMETER +   =    Vemf   +   (ISOURCE) (RMEAS)


            Vemf =   Thermal emf          VMETER -   =    Vemf - (ISOURCE ) (RMEAS )


            ISOURCE = Source Current      VMETER     =   [VMETER + ] - [VMETER - ] [Vemf   +   (ISOURCE ) (RMEAS )] - [V emf       -   (ISOURCE ) (RMEAS )]
                                                                                  =
                                                                    2                                                2

            RMEAS = Measured Resistance   VMETER     =    (ISOURCE ) (RMEAS )
                                                                                                       Figure 13: Current Reversal Method
                                                                         18
                                                                                                                             1 Measment Cycle

                                           Vemf                                                  Vemf
                  +
         VMETER                                      ISOURCE      VMETER
                  -                                                                              RMEAS
                                           RMEAS                                                            Source Current



                         Voltage Measurement with                            Voltage Measurement with                             Thermal Offset
                             Current Source ON                                  Current Source OFF                                Measurement




                      VMETER = Meter Voltage         VMETER   1
                                                                  =   Vemf + (ISOURCE ) (RMEAS )
                      Vemf = Thermal emf
                                                     VMETER   2
                                                                  =   Vemf
                      ISOURCE = Source Current

                      R MEAS = Measured Resistance
                                                     VMETER       =   [VMETER    1
                                                                                     ] - [VMETER   2
                                                                                                        ]

                                                     VMETER       =   [Vemf + (ISOURCE ) (RMEAS )] - [V emf ]                               Figure 14:
                                                     VMETER       =   (ISOURCE ) (RMEAS )                             Offset-Compensated Ohms
                                                                                                                                       Method


Current Reversal                                                                         Dry Circuit Testing
Using the Current Reversal method, thermal                                               Low resistance measurements are frequently
emf is canceled by making two measurements                                               made on the contacts of low current devices.
with currents of opposite polarity. The positive                                         Measuring contact resistance in accordance
current (+ISOURCE) is applied and the voltage is                                         with ASTM B539 is common practice with
measured (VMEAS). A negative current (-ISOURCE)                                          switch and relay manufacturers. Contacts on
is applied and the voltage is measured a sec-                                            these devices are made of tin, silver and gold
ond time (VMEAS ). The two measurements are                                              and are not hermetically sealed. Over time,
then combined to cancel any effect of thermal                                            oxide can corrode these metal contacts.
emf. Refer to Figure 13 for equations. The                                               Surface contamination of the contacts can
measured resistance is then computed using                                               result in films (metalic oxides, sulfides and
Ohm's Law as R MEAS=V SOURCE/ISOURCE. Figure 13                                          halides) building up. These films add series
illustrates the Current Reversal method.                                                 resistance on the order of a few milliohms to
                                                                                         the contact resistance.
                                                                                         Using test voltages greater than 20mV can
Offset-Compensated Ohms                                                                  result in erroneous contact resistance meas-
The Offset-Compensated Ohm method for min-                                               urements. This is due to the voltage beoing
imizing thermal emf applies the source current                                           high enough to breakdown the oxide layer.
(ISOURCE) to the resistance being measured                                               Most milliohmmeters used for contact resist-
(RMEAS ) only during one part of the test cycle.                                         ance measurements feature a dry circuit mode
When the source is ON, the total voltage meas-                                           that limits the voltage to less than 20mV.
ured (VMETER 1) includes the resistor as well as
any thermal emf as illustrated in Figure 14.
The second voltage measurement (VMETER 2) is
made with the Current Source OFF. The two
voltage measurements are then combined to
determine the voltage measurement for the full
test cycle. This voltage is termed the offset-
compensated voltage.


                                                                                 19
Offset/Zero Compensation                                                                                                 It is important when performing a zero to have
                                                                                                                         proper orientation of the Kelvin clips as shown
Most milliohmmeters have an electronic offset
                                                                                                                         in Figure 16. The drive and sense should be
or zero compensation function. This allows the
                                                                                                                         oriented in the same direction. This results in
leads to be shorted together and a measure-
                                                                                                                         the sense connections having a close to zero
ment to be performed. The measured resist-
                                                                                                                         volts as possible during the zero.
ance value is then subtracted from all future
measurements.                                                                                                                Drive +
                                                                                                                                                     Correct
                                                                                                                                                                           Drive -

            Q uadTech               LR2000 Milliohmmeter
                                                                                                               Sense +                                       Sense -
             Rx :   2.549      m




     1 0              DRIVE (-) SENSE             SENSE (+) DRIVE
                                                                                                                                                     Incorrect
                                                                                                                             Drive +                                        Sense -



                                    (-)                   (+)                    Voltage Sense: P+, P-                       Sense +                                        Drive -
                            DRIVE         SENSE   SENSE         DRIVE


                                                                                 Current Drive: I+, I-
                            QuadTech LR2000-50 TEST LEADS

                                                                                                                                 Figure 16: Orientation of Test Cables

                                                                        P-           P+


                                                                        I-           I+
                                                                             SHORT


           Figure 15: Offset/Zero Compensation
Even with a Kelvin connection there will still be
a small residual resistance with the leads of the
milliohmmeter shorted together. Offset is very
useful in applications where it is not possible to
maintain a 4 terminal Kelvin connection to the
DUT. This could be due to the use of a switch-
ing matrix or just the fact that it is not practical
to have 4 connections to the DUT.


                                                                Table 6: Common Sources of Error When Measuring Resistance


     When Measuring:                                Problem Encountered:                                 Potential Source:             Try This Method:
     Low Resistance                                 Measured Value too HIGH                              Lead Resistance               4-Wire Connection to DUT
                                                    Measured Value out of spec                           Thermal emf                   Current Reversal or Offset Compensation
     High Resistance                                Noise                                                Charge in leads               Use Shielded Test Leads
                                                    Measured Value too LOW                               Shunt                         Use Guarded Test Leads
                                                    Measured Value out of spec                           Offset Current                Adjust Offset Current or
                                                                                                                                       Suppress Offset Current using Zero Function




                                                                                                                  20
                          Temperature Compensation
Formula                                                                      Table 7: Temperature Coefficients

When performing low ohm measurements, not                                Material          Resistivity       Temperature
only are the connections and zeroing of the                                                  (*m)             Coefficient
                                                                                                               (°C)
                                                                                                                      -1
meter important, the temperature of the DUT                                                 at 20°C
and even the ambient air can change the                                                               -8                 -3
                                                                         Silver            1.59x10               3.8x10
resistance reading. The resistivity of a metal                           Copper             1.7x10
                                                                                                    -8
                                                                                                                 3.9x10
                                                                                                                       -3

conductor increases linearly with temperature                            Gold              2.44x10-8             3.4x10-3
                                                                                                      -8               -3
as shown in Equation 3.                                                  Aluminum          2.82x10               3.9x10
                                                                                                    -8                 -3
                                                                         Tungsten           5.6x10               4.5x10
                                                                         Iron               10x10 -8             5.0x10-3
                = o[1 +  (T-To)]                                         Platinum           11x10
                                                                                                   -8
                                                                                                                3.92x10
                                                                                                                          -3
                                                                                                   -8                  -3
                                                                         Lead               22x10                3.9x10
                                                                                                     -8                -3
    = measured resistance                                                Nichrome          150x10                0.4x10
                                                                                                    -8                 -3
                                                                         Nickel             8.7x10               6.8x10
   o = resistance at reference temperature (20°C)                        Carbon             3.5x10
                                                                                                    -5
                                                                                                                -0.5x10
                                                                                                                         -3
                                                                                                                        -3
   T = measured temperature                                              Germanium            0.46              -48x10
   To = reference temperature
                                                                         Source: Physics for Scientists & Engineers,
    = temperature coefficient of resistivity                          Raymond A. Serway, 3RD Edition, Volume II, 1990
                                                                                            Note:
     Equation 3: Resistivity and Temperature                           Tables 2 & 7 contain data from different sources
                                                                       and thus have different values for Resistivity and
                                                                            Temp Coefficient. Refer to Appendix A.
Conductor Resistance and Temperature
Using the data from Table 7, a plot can be                                   Resistance vs Temperature
made of resistance versus temperature to see
how temperature can effect your milliohm
measurement. Figure 17 shows the resistivity                          2.09E-02
of both Copper and Nickel vs temperature. As                          2.07E-02
shown in Figure 17 the resistance of Copper
                                                         Resistance




                                                                      2.05E-02
can change more than 3% over 10°C tempera-                            2.03E-02
ture change. This change could mean a part                            2.01E-02
measured in the morning passes specification,
                                                                      1.99E-02                             Copper
but in the afternoon fails. This change must be
                                                                      1.97E-02                             Nickel
accounted for when performing accurate low
ohm measurements. There are milliohmme-                               1.95E-02
                                                                                 15

                                                                                      18

                                                                                             21

                                                                                                     24

                                                                                                           27

                                                                                                                    30




ters on the market that have internal tempera-
ture compensation capability. Typically these                                          Temperature °C
meters have one or two material coefficients
and reference 20°C. This is useful if you are
                                                                          Figure 17: R vs. T for Copper & Nickel
measuring copper, but if your material is
Tungsten then this feature will not give you the            The QuadTech LR2000 Wizard will calculate
data, which you may require. Computers have                 the resistance from its measured reading, the
eased the burden of manual calculations,                    temperature and the coefficient, which is
reduced human error and allow for flexibility in            assigned by the user. The data is stored to a
materials and temperature.                                  file where later the user can create his particu-
                                                            lar resistance vs. temperature chart.

                                                    21
                                              Resistance vs Temperature of Germanium

                  6.20E-01
                                                                                                                 Germanium
                  5.70E-01


                  5.20E-01


                  4.70E-01
     Resistance




                  4.20E-01


                  3.70E-01


                  3.20E-01


                  2.70E-01


                  2.20E-01


                  1.70E-01


                  1.20E-01
                             15   16   17     18   19   20   21   22   23     24    25      26      27    28     29    30


                                                             Temperature °C
                                            Figure 18: Germanium Resistance vs. Temperature

Semiconductors                                                                           Material         Critical Temperature
It is worth noting that not all materials will                                                                     Tc (K)
increase in resistance with temperature as                                           Aluminum                       1.20
                                                                                     Cadmium                        0.56
shown in Figure 18. The resistivity of semicon-                                         Lead                        7.2
ductor materials, such as Geranium, exhibit an                                        Mercury                       4.16
exponential decrease in resistance as temper-                                         Niobium                       8.70
ature increases. This characteristic allows us                                        Thorium                       1.37
                                                                                         Tin                        3.72
to consider a ceramic semiconductor as a                                              Titanium                      0.39
Thermally Sensitive Resistor, more commonly                                           Uranium                       1.0
known as a Thermistor. The resistance vs.                                                Zinc                       0.91
temperature characteristic of a Thermistor                                          Niobium/Tin                     18.1
                                                                                   Cupric Sulphide                  1.6
forms a "scale" that allows it to function as a
temperature sensor.                                                                      Table 8: Critical Temperature
                                                                            Source: CRC Handbook of Chemistry and Physics,
                                                                              78th Edition; Superconductivity data: Collier's
Superconductors                                                                     Encyclopedia (Volume 21, 1968).
Superconductor materials have zero resistance
at a given temperature known as a critical tem-                                                          Note:
perature (Tc). The critical temperatures for a                                  When using the Kelvin Temperature scale,
few common substances are shown in Table 8.                                 the symbol is an uppercase K. There is no degree
The resistance versus temperature for a super-                                          symbol used before the K.
conductor resembles that of any typical metal
as shown is Figure 17 for temperatures above
Tc, once the temperature is at or below Tc the
resistance drops to zero.



                                                                  22
                         Connection to a Milliohmmeter
Test Leads                                                        It is possible to perform 2 terminal connections
Most milliohmmeters are delivered with a set of                   with a 4 terminal instrument. This would be
leads designed specifically for use with that                     adequate for measurements above 10 ohms. If
instrument. It is important to use the correct                    a two terminal connection is to be made care in
leads or leads with similar characteristics to                    connection should still be made. The drive
those specified by the manufacturer. Longer                       leads should be on the outside of the sense
leads or leads that have higher resistance can                    leads. Figure 20 illustrates a two terminal con-
limit the measurement range or output of the                      nection using banana plugs. The sense
instrument. This is particularly important with                   banana plugs would then be plugged into the
high current milliohmmeters and ground bond                       DUT.
testers. Put another way, the maximum drive
current multiplied by the sum of drive lead
resistance and the resistance to be measured
should not exceed the clamping voltage of the                                    Drive +                  Drive -
instrument.

        IDRIVE MAX   RDRIVE LEAD + RMEAS            VCLAMP                       Sense +                  Sense -

               Equation 4: Clamp Voltage
                                                                                            +         -
Accurate measurements using a 4 terminal                                                        DUT

Kelvin connection requires that the drive and
sense leads come in contact with the DUT and                                    Figure 20: 2-Terminal Connection
not before. If the drive and sense leads come                     Now that it has been established how important
in contact with each other the voltage at the                     a 4-wire Kelvin connection is for low resistance
connection will cause an error in the measure-                    measurements, let's consider connection tech-
ment. Figure 19 illustrates an example of prop-                   niques in more detail.
er and improper connection to a DUT.

                                                     Drive
                                                                  Kelvin Clip Leads
       Sense             Drive
                                                    Sense
                                                                  The Kelvin clip is the most common accessory
                                                                  used for these types of measurements. The 4-
                                                                  wire Kelvin clips are normally comprised of two
                            Correct                               identical clips, each of which has a current
                                                                  drive connection (one arm of the clip) and the
                                                e
                                                                  other side the voltage sense connection. This is
                                              ns
                                            Se                    ideal for attaching to leaded devices or other
                                        Drive
                                                                  relatively small contacts but in some applica-
                                                                  tions other techniques must be employed.
                                                                      Drive +                                   Drive -


                                                                      Sense +                                   Sense -
                            Incorrect


                                                                                 Figure 21: Kelvin Clip Lead Set
  Figure 19: Drive and Sense Connection to DUT



                                                             23
                        5940                                                                   6730

                                    Figure 22: Example Kelvin Clip Leads
                                          Source: Pomona Electronics
                                       http://www.pomonaelectronics.com


There are a number of different types of com-             Probe Lead Set
mercially available Kelvin clips. Kelvin clips are        For access to surface mount devices, other
available with different types of jaws and jaw            small components, or contacts difficult to
widths. Pictured in Figure 22 are Pomona                  access, a set of Kelvin probe tips may prove to
Kelvin Clips, Model Numbers 5940 and 6730.                be the best solution. An example of such a
                                                          probe set is the Pomona Model 6303
Component Test Fixtures                                   (www.pomonaelectronics.com). This lead set is
For component sorting of low value resistors of           terminated in double banana plugs but could
axial lead construction a slotted test fixture is         be modified with other connections for compat-
the most reliable means of connection. A four-            ibility with various measuring instruments.
terminal Kelvin fixture normally consists of four
knife blades where one lead of the component
under test is inserted between two blades for
one connection and the other lead between two
blades for the second connection. This type of
fixture is convenient for an operator to install
components, can be used some distance away
from the instrument, while still maintaining the
all important four terminal connection.                          Figure 24: Example Probe Lead Set
                                                                       Source: Pomona Electronics
                                                                   http://www.pomonaelectronics.com




          Figure 23: Slotted Test Fixture




                                                     24
       Connection Techniques for Reducing Errors
Reliable Connections                                                                                         Proper 4-Terminal Positioning
Erratic noisy readings can be the result of                                                                  When possible the four Kelvin connections
improper connection to the device under test.                                                                should be configured to the device for maxi-
An obvious example of this would be the failure                                                              mum accuracy of the measurement, as seen in
of one of the connections of the 4-wire connec-                                                              Figure 26.
tions to the device under test. Generally the
                                                                                                                        Q uadTech
occurrence of this would cause unstable read-                                                                            
                                                                                                                                                LR2000 Milliohmmeter


                                                                                                                         Rx :   2.549      m
ings. Viewing the displayed value for several
seconds is a method to make sure the meas-                                                                        1 0             DRIVE (-) SENSE             SENSE (+) DRIVE


urement is stable.

                                                                                                                                        DRIVE
                                                                                                                                                (-)
                                                                                                                                                      SENSE   SENSE
                                                                                                                                                                      (+)
                                                                                                                                                                            DRIVE
                                                                                                                                                                                               Voltage Sense: P+, P-

Zeroing                                                                                                                                 QuadTech LR2000-50 TEST LEADS
                                                                                                                                                                                               Current Drive: I+, I-


For very low resistance measurements, the
zeroing function of test leads of fixture is very
important. During the zeroing function a resid-
ual correction of resistance is determined,                                                                                                                                 I-          P-   P+          I+

stored, and applied to ongoing measurements.
In the case of Kelvin clip leads (as illustrated in                                                                                                                                 -
                                                                                                                                                                                         DUT
                                                                                                                                                                                                  +

Figure 25) or other fixture types, the voltage                                                                          Figure 26: 4-Terminal Measurement
sense connections (P+, P-) should be posi-
tioned adjacent to each other during the
SHORT configuration. Likewise the current                                                                    In order to determine the resistance value of a
drive connections (I+, I-) should be positioned                                                              device, current is injected to the device through
adjacent to each other.                                                                                      the I+, I- connections. The current that flows is
                                                                                                             dependent upon the resistance of the device.
           Q uadTech               LR2000 Milliohmmeter
                                                                                                             This current is measured and used in the
            
            Rx :   2.549      m
                                                                                                             resistance calculation. The current through the
                                                                                                             resistor will generate a voltage across the
     1 0             DRIVE (-) SENSE             SENSE (+) DRIVE                                             device. This voltage is measured by the P+, P-
                                                                                                             connections, note these connections are closer
                           DRIVE
                                   (-)
                                         SENSE   SENSE
                                                         (+)
                                                               DRIVE
                                                                                Voltage Sense: P+, P-        to the device than the I+, I-. Since the voltmeter
                           QuadTech LR2000-50 TEST LEADS
                                                                                Current Drive: I+, I-
                                                                                                             would have a high impedance no current would
                                                                                                             flow through the P leads, thus having no influ-
                                                                                                             ence on the voltage detected by these connec-
                                                                       P-           P+
                                                                                                             tion. A very precise calculation results from this
                                                                       I-           I+
                                                                                                             measured current and voltage.
                                                                            SHORT


     Figure 25: Kelvin Leads Zeroing Position




                                                                                                        25
                    Verification of a Milliohmmeter
Standards                                                 Safety
There are a number of different low resistance            As with any instruments safety precautions
standards and resistors that can be used to               should be taken. Most milliohmmeters have a
verify the operation of a milliohmmeter.                  relatively low clamping voltage however the
Precision Resistor manufactures a PLV-7                   instruments do produce high currents.
series of resistors (http://www.precisionresis-           Precautions should be taken per manufactur-
tor.com/PLV7.htm). The PLV-7 Series are 4-ter-            ers recommendations. It is also important
minal resistors with resistance values from 5m            when measuring inductive devices (such as
to 100 , tolerances to 0.005%, excellent tem-             coils and inductors) to not disrupt the test by
perature and stability characteristics.                   disconnecting the leads. This can result in a
                                                          dangerously high voltage being produced in
                                                          the inductor.
Current Shunt
There are also a wide variety of current shunts
                                                          An inductor, a wire wound around a core mate-
such as those from Deltec Company. A shunt
                                                          rial, stores energy in a magnetic field. If the cur-
is a very low resistance connection between
                                                          rent applied to an inductor is suddenly inter-
two points in an electric circuit that forms an
                                                          rupted, a voltage transient occurs across the
alternative path for a portion of the current*.
                                                          open circuit. The voltage can increase to a
The voltage drop across the shunt is is used
                                                          dangerous level. Proper protection must be
with an ammeter to measure the amperage of
                                                          taken when breaking the contact across the
a circuit. Figure 27 illustrates a typical WB cur-
                                                          inductor (inductive circuit). Ground the circuit
rent shunt from Deltec. Note that there are two
                                                          and ground the individual breaking the contact.
large terminals on the outside for drive connec-
tion and two inner terminals for sense connec-
tion.




        Figure 27: Example Current Shunt
            *Courtesy Deltec Company
             http://www.deltecco.com


Shunts are specified in terms of voltage and
current therefore a 50mV/50A shunt would
have a resistance of 1m. Typically current
shunts are calibrated to an accuracy of 0.25%.
Most calibration laboratories can calibrate cur-
rent shunts to higher accuracy and at the
appropriate current for the milliohmmeter being
tested.


                                                     26
             External Connection to a Milliohmmeter
Once correct connection to the device under                                RS-232 Interface
test is established, the automation of milliohm                            The RS-232 interface is a serial port for trans-
measurements will save time and increase the                               mission of information in serial bit format. RS-
efficiency of logging data. Remote control of                              232 communication requires three lines:
test instrumentation, automation of tests and                              "receive data", "transmit data" and "signal
collection of the test results are indispensible in                        ground".     Serial port parameters are com-
fast paced production environments.                                        prised of 8 data bits, 1 stop bit and Odd, Even
                                                                           or No parity. Depending on the instrument,
Remote I/O                                                                 baud rate is fixed or selectable in multiples of
                                                                           1200bps (bits per second).
Remote operation decreases the potential for
operator error thus increasing the accuracy                                                                 DB9 Female

and repeatability of the setup and data. A                                         Received Line
remote I/O interface can be configured as a 9-                                     Signal Detect      1
                                                                                                                              6   DCE Ready
pin, 24-pin or 25-pin connector or a terminal                                      Transmitted Data   2
strip. The simplest remote I/O interface typi-                                                                                7   Clear to Send
                                                                                   Received Data      3
cally accepts the input signals [START] and                                                                                   8   Request to Send
                                                                                   DTE Ready          4
[STOP] and provides the output signals [PASS]                                                                                 9   Ring Indicator
and [FAIL]. When making measurements of a                                          Signal Ground      5

small magnitude, precison means leaving the
test leads, DUT and setup alone. Remote oper-
                                                                                                               Shield
ation provides that measurement reproducibili-
ty and stability.                                                             Figure 29: Typical RS-232 Pin Configuration
Figure 28 illustrates a simple Remote I/O con-
nection to illuminate green/red LEDs on a                                  IEEE-488 Interface
Pass/Fail result. Jumpers are placed between
pins 11 & 10, 8 & 7 and 4 & 3 respectively.                                The IEEE-488 interface is a parallel port for
START switch is connected between pin 1 and                                transmission of 8 bits (1 byte) of information at
ground, PASS from pin 21 and FAIL from the                                 a time over 8 separate wires. The information
jumper between pins 4 & 3.                                                 travels on 3 buses: handshake, control and



                                                                               Illuminates                START
                                                             3k
                                                                  FAIL             Red                    Switch
                                                                  Signal           LED
                                                   jumper
                              jumper                              jumper

                               12   11   10   9    8    7    6     5   4      3    2    1
                   3k                                                                                              or pin 7
     Illuminates
         Green      PASS
         LED        Signal     24   23   22   21   20   19   18   17   16    15   14    13



                                                    Remote I/O                                                                    Figure 28:
                   Note: Connect pins 8 & 7 together for all applications                      Remote I/O Pass/Fail Connection



                                                                  27
data. IEEE-488 has a faster transfer rate (up to                In response to customer inquiries, QuadTech
1MB/second) than RS-232 but it's connection                     provides sample software for controlling and
cable is limited to 20 meters. There is no limit                collecting data from its instruments. Executable
to the communication cable length with the RS-                  QuickBasic and VisualBasic programs are
232 interface.                                                  available in the Software Resources section of
                                                                http://www.quadtech.com.
           DIO1
                          1    13
                                          DIO5
                                                                The QuickBasic program for the LR2000 meter
           DIO2
                          2    14
                                          DIO6
                                                                verifies communication between a PC and the
           DIO3
                          3    15
                                          DIO7
                                                                LR2000. The program prompts the user for
           DIO4
                          4    16
                                          DIO8
                                                                com port, queries IDN of the instrument,
           EOI
                          5    17
                                          REN
                                                                prompts the user for the number of measure-
           DAV
                          6    18                               ments to be take, displays the measurements
           NFRD
                          7    19                               on the terminal and saves the data to a file.
           NDAC
                          8    20
           IFC
                          9    21
           SRQ
                          10   22
                                                                LR2000 Virtual Front Panel Wizard
           ATN
                          11   23                               From any desktop PC, program the source, dry
                 SHIELD             GND
                          12   24                               circuit, range, speed, average and delay func-
                                                                tions and click [TRIGGER]. The test results are
                                                                saved to an Excel-compatible log file. For tem-
   Figure 30: Typical IEEE-488 Pin Configuration                perature compensation, enter the temperature
                                                                and select your material (or enter your coeffi-
                                                                cient) and both resistance values will be dis-
RS-232 & IEEE-488 Control                                       played and logged.
Commands for RS-232 and IEEE-488 commu-                         Pull up the log file, import it into Excel, select
nication are similar and some are identical                     the parameters of interest and graph the results
depending upon the instrument. Each com-                        - a very nice visual and statistical tool for tem-
mand line is terminated with a carriage return                  perature compensation analysis or resistance
[CR] and a line feed [LF]. Multiple commands                    characterization.
are separated with a semicolon.




                                          Figure 31: LR2000 Virtual Front Panel


                                                           28
                                  Applications of Milliohmmeters
Surface Resistivity - Test Samples                                                   Cable Testing
Measurements with a Resistivity Cell                                                 Resistance & Capacitance Measurements
The LR2000 instrument can be used for meas-                                          Milliohm measurements are frequently made
uring the resistivity of test samples as                                             on wires and cables since resistivity of the con-
described by ASTM Standard D257, which                                               ducting wire/cable is a primary factor in its final
details the techniques for both surface and vol-                                     application. As detailed in the conductor sec-
ume resistivity measurements. The most com-                                          tion, conductive materials are chosen for their
mon electrode arrangement is illustrated in                                          specific resistivity/conductivity and temperature
Figure 31.                                                                           characteristics. More than a simple length of
                                                                                     bare copper wire, a cable is comprised of plat-
                                                                                     ed copper (tin, silver, nickel) and bundled in
           Guard
            Ring                                                                     strands for electrical as well as physical prop-
          Sample
                                                                          Top
                                                                         View
                                                                                     erties.
              Top
        Electrode
                                                                                     Cable strength and flexibility are primary
                                                                                     parameters for cables used in dynamic envi-
                                                                                     ronments where they are pulled, twisted and
                                    Top Electrode    Terminal 1

  Guard Ring
                                                           Guard         Side        flexed often. Individual strands break causing
                                                            Ring         View
     Sample
                                                       Terminal 2                    the discontinuity in the cable. Cable made of
               Bottom Electrode     Terminal 3
                                                                                     strands of alloys (alloy 135) exhibit greater ten-
                                                                                     sile strength than bare copper wire and strand-
               Figure 31: ASTM D257 Test Cell                                        ed bare copper wires*. (*Calmont Wire & Cable Inc.,
In this configuration, surface resistivity is meas-                                  `Effect of Flex Life' Technical Bulletin)
ured with terminal 1 tied to the - UNKNOWN                                           Cables are comprised of more than one wire
terminal, terminal 2 tied to the +UNKNOWN                                            and here continuity is an important factor.
terminal and terminal 3 tied to GUARD.                                               Continuity of a cable means that all its intend-
           Surface       =   s =
                                       P
                                            Rs
                                                                                     ed connections are made. The sum of resist-
           Resistivity                 g
                                                                                     ance of each of these connections is defined as
                P    =   effective perimeter of measuring electrode
                g    =   dimension of space between electrodes 2 and 1
                                                                                     the minimum continuity resistance of the cable.
                Rs   =   measured surface resistance in ohms                         To find the problem in a discontinuous cable,
      Equation 5: Surface Resistivity: Test Cell                                     resistance is measured between the end points
                                                                                     of a shorted pair of points to reveal the defec-
Equation 5 is the formual for determining the
                                                                                     tive cable end.
surface resistivity using the test cell in Figure
28. Refer to the ASTM standard for the for-                                          When an open is suspected (an intended con-
mulas required to convert from measured                                              nection in the cable is not made), capacitance
resistance to resistivity. Or visit the American                                     is measured from two end points of the open
Society for Testing and Materials at                                                 circuit to all other wires in the cable to reveal
http://www.astm.org for the latest information.                                      the defective cable end. When measuring wire
                                                                                     harnesses, one must consider the shielded
In electrical terms, resistivity is the resistance                                   wires and twisted pair cables that make up the
of a material to the flow of current times the                                       harness. In this instance measuring the capac-
cross-sectional area of current flow per unit                                        itance of the harness can reveal the continuity
length of the current path.                                                          of an unterminated shield and/or the miswiring
                                                                                     of twisted pair conductors.

                                                                                29
Component Testing                                         Therefore the computation of the temperature
                                                          rise is:
Determining Temperature Rise of Motors
and Transformers
                                                                    1.6211 - 1.2367
The determination of the temperature rise in                  T =                           =      78.45 oC
                                                                     1.2367 (0.003931)
motors and transformers due to self-heating is
a very common measurement. Motors, trans-
                                                                    Equation 7: Temperature Rise
formers, solenoids and coils all exhibit symp-
toms of heat rise during use. The internal
power losses of the device result in heating              Ambient temperature changes could have sig-
which increases the operating temperature of              nificant impacts on the test results. Some mil-
the unit. In most cases it is impractical to              liohmmeters have a temperature sensing func-
measure the temperature with thermocouples                tion to measure the ambient temperature or
or other temperature sensors, hence the                   capability for entering this data. The test
change in resistance method for temperature               results and temperature conditions are then
determination.                                            automatically referenced to nominal ambient
The majority of magnetic devices use either               temperature (23oC).
copper or aluminum wire in the construction of
their core. These wires have precise tempera-
ture coefficients (TC) that can be used with
resistance measurements to calculate the tem-
perature rise (T) of the device under test
(DUT). The change in temperature is equal to
the resistance of the DUT before use (RCOLD )
minus the resistance of the DUT during use
(RHOT ) divided by the temperature coefficient
times R COLD .

                 RHOT   -   RCOLD
          T =
                     RCOLD (TC)


          Equation 6: Temperature Rise
Let's look at the calculation of temperature rise
for a motor after 8 hours of operation at a spec-
ified rated load. The field winding of the motor
is constructed of copper wire. This particular
copper wire has a temperature coefficient of
3931ppm/o C (R = 0.3931%/oC). Before run-
ning at a load the ambient winding resistance is
measured as 1.2367. After 8 hours of opera-
tion at full load, the winding resistance is meas-
ured as 1.6211.


                                                     30
          QuadTech Low Resistance Measurement Instruments
                                                         Applications:
                                                         o         Production Testing of Contact Resistance
                                                                   of Switches, Relays, Connectors, Cables,
                                                                   and Other Low Resistance Devices
                                                         o         Testing of Low Value Resistors, Fuses,
                                                                   Squibs, and Heating Elements
                                                         o         Winding Resistance of Motors, Transformers,
                                                                   Solenoids, and Ballasts
                                                         o         Conductivity Evaluation in Product Design
LR2000 Milliohmmeter                                     o         Incoming Inspection and Quality Assurance
The LR2000 Milliohmmeter has a basic accu-                         Testing
racy of 0.05% and a wide measurement range               LR2000 Virtual Front Panel Wizard
from 1µohm to 2Mohms. For remote operation
and production applications the unit comes
standard with an RS-232 interface, plus IEEE-
488 and handler interfaces are available as
options. For measurement integrity, contact to
the test device is made via a 4-terminal Kelvin
connection that incorporates an automatic
zeroing function to compensate for lead errors.
The LR2000 provides eight measurement
ranges from 20m  to 2M with constant cur-
rent between 1A and 1mA. For "dry" contact               Written in Visual Basic 6.0, the Virtual Front
measurements (those contacts whose resist-               Panel Wizard for the LR2000 will easily config-
ance can be altered by excessive voltage                 ure the LR2000 Milliohmmeter.           From any
potential) the LR2000 can be limited to 20mV             desktop PC, program the source, dry circuit,
on selected measurement ranges.                          range, speed, average and delay functions and
 o   1µ - 2M Measurement Range                           click [TRIGGER]. The test results are saved to
 o   1mA - 1A Constant Current                           an Excel-compatible log file. Pull up the log
 o   0.05% Basic Measurement Accuracy                    file, import it into Excel, select the parameters
 o   Measurement Speed to 15/second                      of interest and graph the results - a very nice
 o   Test Signal: DC+, DC-, Pulse, Pulse+, Pulse-        visual and statistical tool for temperature com-
                                                         pensation analysis or resistance characteriza-
 o   Dry Circuit Test Current
                                                         tion.
 o   Graphical LCD Display
                                                         Features:
 o   Four-Terminal Kelvin Connection
 o   Automatic Zeroing                                       o   Log Test Data to Excel-Compatible File

 o   RS-232 Interface Standard                               o   Remotely Configure Instrument from PC
                                                             o   Set Room Temperature
 o   IEEE and Handler Interfaces, Optional
                                                             o   Set Temperature Coefficient
 o   Automatic Hi/Lo Comparator Limits
 o   Pass/Fail Sorting (8 Bins)                          Requirements:

 o   Voltage Limiting for Dry Contact Testing                o   LR2000 Milliohmmeter
 o   Keypad Lockout                                          o   RS-232 Interface with Straight-Through Cable

 o   Programmable Delay Times                                o   PC with Windows and RS-232 Port


                                                    31
Cable Testers                                            Applications:
                                                          o   Cable Verification
                                                          o   Relay, Switch & LED Testing


                                                         Horizon HV1 High Voltage Wiring Analyzer:
                                                          o   High Voltage Breakdown to 1500V
                                                          o   Insulation Resistance to 1.5G
                                                          o   Programmable 1A Current Source
                                                          o   128 Test Points Expandable to 1024 Points
                                                          o   Self Learn Known Good Products
                                                          o   Flex Test
QuadTech provides three Horizon Cable
Testers designed for specific cable applica-              o   Twisted Pair Verification
tions. The Horizon 1500 Series includes the               o   Resistors, Capacitors, and Diode Testing
LV1 Low Voltage Wiring Analyzer, the HV1                  o   Built-in Pentium PC
High Voltage Wiring Analyzer and the SCSI                 o   SPC and Data Management
Wiring Analyzer. Resistance measurements                  o   Test 500 Point Net In Less Than 1 Sec.
can be made using two-wire connection for                Applications:
simple verification that two points are connect-          o   Switch-hub Verification
ed and continuous. For more accurate resist-
                                                          o   Cable Verification
ance measurement a 4 wire Kelvin connection
                                                          o   Relay, Switch & LED Testing
is available for accuracy of +1m on a 10m
                                                          o   Circuit Board Assembly Tests
measurement.
Similarly, capacitance measurements can be
made using two-wire connection for verification
that two points are connected and continuous.
All three Horizon Wiring Analyzers (LV1, HV1 &
SCSI) measure capacitance from 50pF to 1mF
with a basic accuracy of 4% and from 50pF to
10,000mF with a basic accuracy of 10%.

Horizon LV1 Low Voltage Wiring Analyzer:
 o   Low Voltage Switching via Solid State Relays        The Horizon SCSI wiring analyzer combines all
 o   Resistance to 50M                                   the features of the High Voltage Series Horizon
 o   128 Test Points Expandable to 1024 Points           with SCSI (Small Computer System Interface)
 o   Self Learn Known Good Products                      test capability to enable fast, flexible and reli-
 o   Twisted Pair Verification                           able SCSI terminator testing. To keep testing
 o   Resistors, Capacitors, and Diode Testing            simple and quick, a comprehensive range of
                                                         standard programs is included to fully verify
 o   Built-in Pentium PC
                                                         SCSI terminators in less than 10 seconds. The
 o   SPC and Data Management
                                                         TCL scripting language allows unlimited expan-
 o   Test 500 Point Net in Less Than 1 sec.
                                                         sion of the Horizon SCSI terminator test pro-
 o   Auto Start Test When Product is Loaded
                                                         gram library.
 o   Flex Test

                                                    32
Horizon SCSI Wiring Analyzer                             Dedicated Function Test Instruments
 o   Fast SCSI Testing                                   In addition to milliohmmeters and cable testers,
 o   In Process Testing of Cable and Terminators         QuadTech manufactures a full line of passive
 o   Complete Trace Verification                         component and electrical safety testing instru-
 o   Verify Signal Voltages and Quiescent Current        mentation, including LCR Meters, Digibridges,
 o   Verify Isolation of Reserved Pins                   Megohmeters, Hipot Testers and Electrical
 o   High Voltage Breakdown to 1500V                     Safety Analyzers. View complete product spec-
 o   Insulation Resistance to 1.5G                       ifications at http://www.quadtech.com.
 o   Programmable 1A Current Source
 o   128 Test Points Expandable to 1024 Points           LCR Meters
 o   Self Learn Known Good Products
 o   Flex Test & Twisted Pair Verification
 o   Resistors, Capacitors, and Diode Testing
 o   Built-in Pentium PC, SPC and Data Management
 o   Test 500 Point Net in Less Than 1 Sec.
                                                                     7400 Precision LCR Meter
Applications:                                            Megohmmeters
 o   SCSI Cables
 o   SCSI terminators

Fusion Wire & Cable Analyzers
The Fusion Wire & Cable Analyzer is a fully
integrated test system. Hipot, Megohmmeter,
Milliohmmeter & Capacitance Measurements
                                                                         1868A Megohmmeter
can be performed via a multi-channel scanner
up to 72 points. For low resistance measure-             Hipot Testers
ments, a 2-wire and 4-wire configuration is pos-
sible with resolution down to 1m in the 4-wire
mode. Make 2-wire measurements from 1m
to 50M and 4-wire measurements from 1m. to
400k.. The unit is also capable of high resist-
ance measurements to 50M .
                                                                      Sentry Plus Hipot Tester
                                                         Electrical Safety Analyzers




       Fusion High Voltage Cable Analyzer                     Guardian 6000 Electrical Safety Analyzer




                                                    33
CompuMess Elektronik GmbH
  Lise-Meitner-Str.1, 85716 Unterschleissheim
     Tel 089-321501-0 Fax 089-321501-11
http://www.compumess.de oder http://www.netzteile.de




                         34
Appendix A




   35
                                                                     Formulas
Resistance

                                                                                        i                                               i
                     V
         R=
                     i
                                                                                            DUT       V                  1A                   DUT                  V
         R = Resistance in ohms
         V = Voltage in volts
                                                                                                                                                                       V
                                                                                                                                                    Resistance =
         I    = Current in amperes                                                                                                                                     1A


2-Wire Resistance Measurement

             DMM                                                                              VMETER = Voltage measured by meter
                                                       R LEAD (HI)          ITEST
                                        HI
                                                                                              VDUT = Voltage across DUT (device under test)

                                                                                                                            VMETER
                                                                                              Measured Resistance =                     =        R DUT +     (2 x RLEAD
                                                                                                                                                                        )
                         VMETER              V METER                 VDUT       RDUT
                                                                                                                              ITEST

                                                                                                                              VDUT
                                                                                              Actual Resistance =                       =        R DUT
                                    LO                                                                                        I TEST
                                                       R LEAD (LO)




4-Wire Resistance Measurement

             DMM or Milliohmmeter
                                                 R LEAD (Drive)             ITEST
                             Drive HI
                                                                                              VMETER = Voltage measured by meter

                             Sense HI            R LEAD (Sense)
                                                                                              VDUT = Voltage across DUT (device under test)

                                                                                              Because Sense Current is negligible:     V METER      =      V DUT


                         V METER             VMETER                  VDUT       R DUT
                                                                                                                           V METER               VDUT
                                                                                              Measured Resistance =                     =
                                                                                                                              ITEST              I TEST


                             Sense LO            R LEAD (Sense)


                             Drive LO            R LEAD (Drive)




                                                                               36
                                                                                     Formulas
Current Reversal


                                                        Vemf                                                                                 Vemf
                                                                            +                                                                              -

                ISOURCE                                                          VMETER                 ISOURCE                                                    VMETER
                                                         RMEAS              -                                                                 RMEAS        +




          VMETER = Meter Voltage                      VMETER +     =        Vemf     +    (ISOURCE) (RMEAS)


          Vemf =      Thermal emf                     VMETER -     =        Vemf - (ISOURCE ) (RMEAS )


          ISOURCE = Source Current                    VMETER       =       [VMETER + ] - [VMETER - ] [Vemf          +   (ISOURCE ) (RMEAS )] - [V emf          -   (ISOURCE ) (RMEAS )]
                                                                                                    =
                                                                                      2                                                       2

          RMEAS = Measured Resistance                 VMETER       =        (ISOURCE ) (RMEAS )


Offset Compensated Ohms
                                                                                                                                                                    1 Measment Cycle

                                           Vemf                                                                     Vemf
                  +
       VMETER                                                    ISOURCE          VMETER
                  -                                                                                                 RMEAS
                                           RMEAS                                                                                          Source Current



                         Voltage Measurement with                                               Voltage Measurement with                                                    Thermal Offset
                             Current Source ON                                                     Current Source OFF                                                       Measurement




                      VMETER = Meter Voltage                   VMETER        1
                                                                                 =       Vemf + (ISOURCE ) (RMEAS )
                      Vemf = Thermal emf
                                                               VMETER        2
                                                                                 =       Vemf
                      ISOURCE = Source Current

                      R MEAS = Measured Resistance
                                                               VMETER            =       [VMETER    1
                                                                                                        ] - [VMETER     2
                                                                                                                            ]

                                                               VMETER            =       [Vemf + (ISOURCE ) (RMEAS )] - [V emf ]

                                                               VMETER            =       (ISOURCE ) (RMEAS )

Resistivity

                                                               =       electrical resistivity                                   ohm-meter
                          RA                      R            =       resistance of conductor                                  ohm
              =                                   A            =       cross-sectional area of conductor                        meter 2
                            l
                                                  l            =       length of conductor                                      meter

Resistivity and Temperature
                                                                                 =       measured resistivity
                                                                       0         =       resistivity at reference temperature (20oC)
          = 0             1 +  T - T0                                  T         =       measured temperature
                                                                       T0        =       reference temperature
                                                                                 =       temperature coefficient of resistivity



                                                                                                        37
                                                        Formulas
Conductivity

                                         =    electrical conductivity
                 ne 2   l       n        =    density of free electrons
           =                    e, me    =    charge and mass of an electron
                meVrms
                                Vrms     =    root-mean-square speed of electrons
                                l        =    mean free path length


Temperature Conversion

                               Celsius                              Fahrenheit                       Kelvin
                                 oC                                    oF                              K
                                             100oC                                     212oF                  373.15 K
          Boiling Point H2O


                                                 20oC                                   68oF                  293.15 K
          Room Temperature
                                                  0oC                                   32oF                  273.15 K
          Freezing Point H2O
                                                                                         0oF



                                         -273.15oC                               -459.67oF                        0K
          Absolute ZERO




                 Known Temperature                               Desired Temperature                   Equation
                Fahrenheit        °F                -       °C           Celsius                  °C = (°F ­ 32)/1.8
                Fahrenheit        °F                -       K            Kelvin                 K = (°F + 459.67)/1.8
                Celsius           °C                -       °F           Fahrenheit              °F = (1.8 x °C) + 32
                Celsius           °C                -       K            Kelvin                    K = °C + 273.15
                Kelvin             K                -       °F           Fahrenheit            °F = (1.8 x K) ­ 459.67
                Kelvin             K                -       °C           Celsius                   °C = K ­ 273.15

AWG & Diameter

                                                                     39 x    log (200D)
                                             AWG:       =   36 -
                                                                            log (92)

                                                                            36   - AWG
                                                                                 39
                                             D          =   0.005    92


                                             D = Diameter in inches




                                                                    38
                                                   Tables
                                                        Note:
       Tables 2 & 7 from the Conductor and Temperature Compensation sections of this guide contain data
         from different sources and thus have different values for Resistivity and Temperature Coefficient.
      Both tables are repeated here with the sources listed so the reader may verify the content according to
                                                     his needs.
                                   Table 2: Resistivity of Common Conductors
                               Resistivity at room temperature: 20o C = 293K = 68oF

              Material                 Symbol         Resistivity     Conductivity     Temperature
                                                                                        Coefficient
                                                    µ-cm       per -m                    per °C
              Element Metal
                                                                         7
                aluminum                Al            2.65    3.77 x 10                   0.0042
                                                                         7
                copper                 Cu             1.67    5.95 x 10                   0.0040
                gold                   Au             2.21    4.55 x 107                  0.0037
                                                                         7
                iron                   Fe             9.66    1.03 x 10                   0.0056
                                                                         7
                lead                   Pb            20.65    0.43 x 10                   0.0042
                magnesium              Mg              4.3    2.33 x 107
                                                                          7
                manganese              Mn             144    0.072 x 10
                                                                         7
                nickel                  Ni            6.93    1.43 x 10                   0.0058
                platinum                Pt            10.5    0.96 x 107                  0.0037
                                                                         7
                silver                 Ag             1.59    6.29 x 10                   0.0038
                                                                         7
                tantalum               Ta             13.1    0.76 x 10
                titanium                Ti             42     0.24 x 107
                                                                         7
                tungsten                W             5.28    1.89 x 10                   0.0044
                                                                         7
                zinc                   Zn             5.92    1.69 x 10                   0.0038
              Alloy Metal
                                                                          7
                nichrome             Ni80Cr20         110    0.095 x 10                  0.00017
                                                                          7
                manganin*            CuMnNi          48.21   0.207 x 10                 ± 0.000015
                                                                          7
                steel**               FeC            16.62   0.502 x 10                    0.003
              Semiconductors
                                                                        4
                carbon (graphite)       C            3500      2.9 x 10                  -0.0005
                germanium (pure)       Ge            46000        2.2                     -0.048
                silicon (pure)          Si         64000000     0.0016                    -0.075
             * Manganin composed of 83% copper, 13% manganese and 4% nickel
             ** Steel composed of 99.5% iron and 0.5% carbon

This table was comprised of data from multiple sources including:

   All About Circuits: C12 The Physics of Conductors and Insulators
   http://www.allaboutcircuits.com/vol_1/chpt_12/1.html

   Hyper Physics: Resistivity Table
   http://hyperphysics.phy-astr.gsu.edu/hbase/Tables/rstiv.html#c1

   MIT course 802: C.6 Current and Resistance
   http://web.mit.edu/8.02t/www/802TEAL3D/visualizations/coursenotes/modules/current.pdf

   Microwaves 101
   http://www.microwaves101.com/encyclopedia/conductivity.cfm#conductor

   The Physics HypertextbookTM: Electrical Resistance
   http://hypertextbook.com/physics/electricity/resistance/


                                                         39
                                                           Tables
                                              Table 7: Temperature Coefficients

                                   Material                Resistivity       Temperature
                                                             (*m)             Coefficient
                                                                               (°C)
                                                                                      -1
                                                            at 20°C
                                                                     -8                 -3
                                   Silver                  1.59x10              3.8x10
                                                                   -8                  -3
                                   Copper                   1.7x10              3.9x10
                                   Gold                    2.44x10-8            3.4x10-3
                                                                     -8                -3
                                   Aluminum                2.82x10              3.9x10
                                                                   -8                  -3
                                   Tungsten                 5.6x10              4.5x10
                                   Iron                     10x10 -8            5.0x10-3
                                                                   -8                    -3
                                   Platinum                 11x10               3.92x10
                                                                   -8                  -3
                                   Lead                     22x10               3.9x10
                                                                    -8                 -3
                                   Nichrome                150x10               0.4x10
                                                                   -8                  -3
                                   Nickel                   8.7x10              6.8x10
                                                                   -5                   -3
                                   Carbon                   3.5x10              -0.5x10
                                                                                       -3
                                   Germanium                  0.46              -48x10



This table was comprised of data from:
    Source: Physics For Scientists & Engineers, Raymond A. Serway, 3RD Edition, Volume II, 1990


Resistivity & AWG
                                Table 4: Solid Copper Wire: AWG & Resistivity


                              AWG Size          Diameter    Diameter      Resistance   Resistance
                               (Solid Wire)       (mm)      (inches)      /1000feet    /1000meters
                              0000 (4/0)         11.684      0.4600         0.049         0.1607
                               000 (3/0)         10.404      0.4096        0.0618         0.2027
                                00 (2/0)         9.266       0.3648         0.078         0.2555
                                 0 (1/0)         8.252       0.3249        0.0983         0.3224
                                    1            7.348       0.2893         0.124         0.4063
                                    5            4.621       0.1819        0.3133         1.0276
                                   10            2.588       0.1019        0.9989          3.28
                                   12            2.052       0.0808         1.588          5.21
                                   14            1.6256      0.0640         2.525          8.28
                                   16            1.2903      0.0508         4.016          13.2
                                   18            1.0236      0.0403         6.385          20.9
                                   20            0.8128      0.0320         10.15          33.2
                                   22            0.6451      0.0254         16.14          52.7
                                   24            0.5105      0.0201         25.67          84.2
                                   30            0.2540      0.0100         103.2        338.496
                                   36            0.1270      0.0050         414.8          1360
                                   40            0.0787      0.0031         1049           3440




                                                                  40
                                            Helpful Links
Conductivity
   Wikipedia Free Encyclopedia:
   http://en.wikipedia.org/wiki/Electrical_conductivity

    Microwaves 101
    http://www.microwaves101.com/encyclopedia/conductivity.cfm#conductor

    Fisk Alloy: Conductor Facts
    http://www.fiskalloy.com/c-main-pages/c-welcome.html

    All About Circuits: C12 The Physics of Conductors and Insulators
    http://www.allaboutcircuits.com/vol_1/chpt_12/1.html

    Hyper Physics: Superconductivity
    http://hyperphysics.phy-astr.gsu.edu/hbase/solids/scond.html

Resistivity
   HyperTextBookTM :
   http://hypertextbook.com/facts/index-topics.shtml#resistivity

    The Physics Hypertextbook TM : Electrical Resistance
    http://hypertextbook.com/physics/electricity/resistance/

    Free Dictionary
    http://encyclopedia.thefreedictionary.com/electrical%20resistivity

    Hyper Physics: Resistivity Table
    http://hyperphysics.phy-astr.gsu.edu/hbase/Tables/rstiv.html#c1

    MIT course 802: C.6 Current and Resistance
    http://web.mit.edu/8.02t/www/802TEAL3D/visualizations/coursenotes/modules/current.pdf

Temperature
   Temperature Conversion and Thermocouple Identification Table:
   http://www.pmel.org/HandBook/HBpage16.htm

Wire AWG
   Wikipedia Free Encyclopedia: American Wire Gauge
   http://en.wikipedia.org/wiki/American_wire_gauge

    Power Stream: Wire Gauge & Current Limits
    http://www.powerstream.com/Wire_Size.htm

    Hyper Physics: Wire Gage
    http://hyperphysics.phy-astr.gsu.edu/hbase/Tables/wirega.html#c1

    epanorama.net: Copper Wire AWG
    http://www.epanorama.net/documents/wiring/wire_resistance.html

    Tyco Electronics: AWG Chart
    http://www.tycoelectronics.com/

    Current Rating, Copper Wire Characteristics, AWG
    http://allflexinc.com

                                                          41
                                             Helpful Links
Cable Characteristics
   National Semiconductor Application Note AN-916: Practical Guide to Cable Selection
   http://www.national.com/an/AN/AN-916.pdf

   Cable Guide
   http://www.cvalim.co.il/pdf/electro.pdf

   Cable Catalog, Cable AWG Characteristics
   http://www.superior-cables.co.il

   Current Carrying Capacity, Shielding, Copper Wire AWG
   http://www.alphawire.com/pages/383.cfm
   http://www.alphawire.com/pages/342.cfm

   Current Rating, Copper Wire Characteristics, AWG
   http://allflexinc.com

   Aerospace Wire & Cable Catalog - Judd Wire
   http://www.juddwire.com

   Cable Flex Test- Calmont Wire & Cable Inc.
   http://www.calmont.com/flex%20test%20summary.pdf

   Technical Reference on Wire & Cable - Calmont Wire & Cable Inc.
   http://www.calmont.com/tech_11.pdf

Current Shunts
   Deltec Inc
   http://www.deltecco.com

Resistance Standards
   Precision Resistor
   http://www.precisionresistor.com

Probe Leads, Kelvin Clips
   Pomona Electronics
   http://www.pomonaelectronics.com




                                                      42
  QuadTech MEG/MIL Selection Guide
                                                  Milliohmmeters
Tester     Accuracy      Resistance        Voltage Range        Test Time     Display       Output           Other
                         Range             & Current                                                         Features
LR2000     0.05%         1µ ­ 2M           Test Signal:         Trigger:      LCD           RS232 Std.       Dry Circuit Mode
Digital    Basic                           0-2.0V DC+, DC-,     0-1000ms;     Full Menu     IEEE-488 &       Comparator: H/L Limits
                                           Pulse+, Pulse-,      Delay Time:   Test Setup,   Handler Opt.     Binning: 8 Bins P/F
                                           Pulse+/-, Stby       0-100s        Value,                         4-Terminal Kelvin Clips
                                           Test Current:                      % Value                        Prog. Delay Time
                                           1A ­ 1uA                            Value                         Measurement Average
                                                                              Bin #                          Range: Auto/Hold
                                                                                                             Trigger: Int, Ext, Man


                                                  Megohmmeters

 Tester     Accuracy      Resistance        Voltage Range        Test Time    Display       Output           Other
                          Range             & Current                                                        Features
 1863       3.0% Basic    50k ­ 20T         50 ­ 500V            Manual       Analog        Analog           Portable
 Analog                                     <5mA                              Meter                          Steel Case


 1864       3.0% Basic    50k ­ 200T        10 ­ 1090V           Manual       Analog        Analog           Portable
 Analog                                     <5mA                              Meter                          Steel Case


 1865       0.5% Basic    1k ­ 100T         1 ­ 1000V            0 ­ 300s     LCD with      P/F Indicator    Floppy Option
                          LO limit          <2mA                              Graphics      HV Indicator     Auto Zero
 Digital
                                                                                            RS232            Store & Recall
                                                                                            I/O PORT         ENG or SCI display
                                                                                            OPTIONAL:        R or I display
                                                                                            IEEE-488         Safety Interlock
                                                                                                             OPTIONAL:
                                                                                                             Shielded Lead Set
                                                                                                             Comp Test Fixture
 1867       2.0% Basic    50k ­ 200T        10 ­ 1090V:          Manual       Analog        Analog           Remote
 Analog                   HI/LO limits      10 ­ 500V                         Meter         P/F Indicator    (Terminal Strip)
                                            <5mA                                            P/F Alarm        IP: Trigger
                                            500 ­ 1090V                                                      OP: High Fail, Low
                                            <25mA                                                            Fail and Pass
 1868       2.0% Basic    10k ­ 1P          1868A:               Charge       LCD with:     HV Indicator     PCMCIA Interface
 Digital                  Auto Range        10 ­ 1000V           Measure      Text,         RS232            Auto Zero
                          or 4 user         2mA/25mA/80mA        Delay        Line Graph    I/O PORT         Store & Recall
                          selectable        1868D:               Discharge:   Bar Graph     IEEE-488         R or I display
                          ranges            50-5000V             9999msec                   Binning          Safety Interlock
                                            2mA/10mA/18mA



                             Capacitor Leakage Current / IR Meter

Tester     Accuracy      Measurement          Voltage Range       Test        Display       Output              Other
                         Range                & Current           Time                                          Features
1855       Basic:        LC:1nA-20mA          1 ­ 650V DC         Charge,     LCD           P/F Indicator       Withstand Voltage
           LC: 0.3%      IR: 10 ­ 99G         Charge Current:     Dwell       Test Setup    P/F Alarm           Rise Time
LC & IR
           IR: 0.6%      WV: 1-650V DC        0.5 -500mA          0-999sec    Value         RS232               Auto Ranging
Meter                    Tr: 0.05-120sec                                      Pass/Fail     Optional:           Averaging 1-8
                                                                                            IEEE & Handler      Comparator P/F




                                                                43
44
Application Note
   Directory




      45
                      QuadTech Application Notes
Contained herein is a list of QuadTech application notes available for download in Adobe PDF for-
mat. To access the application notes visit: http://www.quadtech.com/resources and click on the
Application Note link.

     A/N P/N    Title/Description                                                        Release
     035000     Measuring Insulation Resistance of Capacitors                            06-03-03
     035001     Series & Parallel Impedance Parameters and Equivalent Circuits           07-09-03
     035002     Equivalent Series Resistance (ESR) of Capacitors                         07-09-03
     035003     Increasing Test Voltage on the QuadTech Digibridge                       10-10-00
     035004     High Voltage DC Bias on the QuadTech Digibridge                          10-10-00
     035005     Application for Precision Impedance Meters in a Standards Laboratory     09-12-03
     035006     Application for Precision Impedanc e Meters in a Standards Laboratory    07-18-00
     035007
     035008     Application of DSP to Precision LCR Measurements                         07-09-03
     035009     Measuring Biased Inductors with the 7000 Precision LCR Meters            07-25-03
     035010     A Guide to LCR Measurements                                              07-10-03
     035011     A Practical Guide to Dielectric Testing                                  06-24-03
     035012     Measurements of Dielectric Constant and Loss with the LD-3 Cell          08-04-03
     035013     Sentry Series Light Ballast Application                                  10-03-02
     035014     Guardian 1030S and Cable Reel Immersion Test                             10-03-02
     035015     Guardian 1030 used for IR Test on Adhesive Heat Shrink                   10-03-02
     035016     Sentry Series Panel Meter Application                                    10-03-02
     035017
     035018
     035019     Helpful Tips on Measuring Capacitors                                     07-11-03
     035020     Testing Capacitors with the QuadTech Model 1865 Megohmmeter/IR Tester    11-08-00
     035021     What's Changing in Appliance Hipot Testing and Why                       11-08-00
     035022     Measuring Biased Inductors with the QuadTech Digibridge                  11-08-00
     035023     Characteristic Cable Impedance                                           01-24-03
     035024     Calibrating Impedance Meters Using Resistance Standards                  08-18-00
     035025     Advanced Technique for Dielectric Analysis                               06-24-03
     035026     Medical Equipment Test Applications using the 7000 Precision LCR Meter   09-28-00
     035027     Multi-Terminal Impedance Measurements (Why do these bridges use so...)   07-23-03
     035028     Testing Automotive Engine Oxygen Sensors using the 1900 Precision LCR    02-11-02
     035029     Hipot Testing of Motors and Safety Standard Compliance                   12-19-00
     035030     Transformer Turns Ratio using the 7000 Series RLC Meters                 12-19-00
     035031     The QuadTech 1865 as a Current Meter                                     12-19-00
     035032     Measuring Large Capacitors with the 1865-52 Component Test Fixture       06-03-03
     035033     Insulation Resistance of Cables                                          09-28-00
     035034     1865 Remote Pass/Fail Lights                                             01-08-01
     035035     1865 Specified Accuracy                                                  01-08-01
     035036     The QuadTech 1865 Average Function                                       09-19-02
     035037     How to Connect a Foot Switch to the 1870 Dielectric Analyzer             01-08-01
     035038     The 1880 Specified Accuracy & Constant Current Ranges                    01-10-01
     035039     External DC Supply for the 1536 Photoelectric Pickoff Cell               01-10-01
     035040     Basic Program to Control the Flash on a 1539 Strobe                      01-10-01
     035041     Characteristic Cable Impedance                                           01-24-03
     035042     Constant Current with the 1693 RLC Digibridge                            05-26-00
     035043     Charged Capacitor Protection Circuit for the QuadTech Digibridges        02-15-02
     035044     Transformer Ratio Measured Directly on the 1689 & 1693 Digibridges       03-25-03
     035045     How Much is One Joule                                                    09-11-03
     035046     7000 Series Connections to the LD-3 Dielectric Cell                      08-05-03
     035047     Digibridge Connections to the LD-3 Dielectric Cell                       01-15-01
     035048     Battery Impedance Measurements                                           07-18-00
     035049     Charged Capacitor Protection for the 7000                                02-13-01
     035050     What Voltage and Current is Applied to the Unknown?                      07-24-03
     035051     Power Factor of a Capacitor (1900 Series)                                07-28-03
     035052     Tutorial on Safety Standard Compliance for Hipot Testing                 06-24-03
     035053     Benefits and Advantages of Digital Electrical Safety Testers             02-13-01
     035054     Measuring Electrical Properties of Copier/Printer Toners                 08-06-03
     035055     Monitoring the Production Process of Tantalum Powder                     08-07-03
     035056     Transducers used in Monitoring Nuclear Waste Tanks                       07-28-03
     035057     Measuring the Dielectric Constant of PVC Compounds                       08-08-03
     035058     Testing Animal Identification Implants                                   07-28-03
     035059     Testing Telecommunications Transformers                                  02-28-01
     035060     Enhanced Protection When Measuring Charged Capacitors                    02-28-01



                                                              46
               QuadTech Application Notes
A/N P/N   Title/Description                                                            Release
035061    Guardian 1000 Series Light Ballast Application                               10-03-02
035062    Cable Reel IR Testing Application                                            10-03-02
035063    Adhesive Heat-Shrink IR Testing                                              10-03-02
035064    Why Perform Electrical Safety Testing?                                       06-23-03
035065    Ground Bond, Ground Continuity and Earth Continuity                          06-23-03
035066    Appliance Testing with the Guardian 6200 Production Safety Analyzer          03-27-01
035067    Determining if a DUT is connected, using the Low Trip Limit (G1000 Series)   02-04-02
035068    UL Standards                                                                 03-27-01
035069    Guidelines for External Bias on the 7400 and 7600                            04-24-01
035070    Digibridge to 7000 Handler Conversion                                        04-24-01
035071    Increasing Test Voltage of a 7000 Series RLC Meter                           04-24-01
035072    Mutual Inductance Measurements with a 4-Terminal LCR Meter                   08-18-00
035073    Connection of the 1865 Megohmmeter to a Resistivity Cell                     09-05-03
035074    Guardian 5000 Demo Guide                                                     07-18-00
035075    Guardian 2500 Demo Guide                                                     07-31-00
035076    Sentry 10-35 Demo Guide                                                      07-18-00
035077    Sentry 50 Demo Guide                                                         09-11-03
035078    Glossary of Electrical Safety Terms                                          06-23-03
035079    Digibridge and Battery Impedance Measurements (1557, 1659, 1689, 1693)       05-16-00
035080    Use of Palm Switches with QuadTech Hipot Testers                             05-09-00
035081    Measuring Transformer Turns Ratio using the 1910 Inductance Analyzer
035082    Analyze This Inductor                                                        07-23-03
035083    So You Need To Measure Some Inductors...                                     07-29-03
035084    LCR Product Accessories                                                      09-19-02
035085    EST Product Accessories                                                      09-19-02
035086    What's Your LCR IQ?                                                          07-23-03
035087    Applying DC Bias to Inductors with the 1910 Inductance Analyzer              05-19-00
035088    Applying DC Bias to Inductors with the 1910 and 1320                         07-29-03
035089    LCR & EST Product Interfaces                                                 09-19-02
035090    Electrical Safety Testing of Medical Electronic Equipment                    06-16-00
035091    Ensuring RH Sensor Repeatability with Capacitance Testing                    07-29-03
035092    Measuring IR with the Guardian 2530                                          07-05-00
035093    Errors in Low Resistance Measurements                                        08-20-04
035094    Building the Perfect Component Test Fixture                                  07-29-03
035095    Custom Design Your Own Shock Therapy                                         06-13-03
035096    Test Instrumentation: Can't Always Get What You Want?                        11-28-00
035097    Guardian 2500 Series Features & Benefits                                     01-23-01
035098    Sentry Series Features & Benefits                                            01-23-01
035099    Overview of IEC 60601-1 Medical Electrical Equipment                         06-09-03
035100    Why Product Safety Test Your Electrical Medical Products?                    06-09-03
035101    Line Leakage Measurement & Human Body Equivalent Circuits                    06-09-03
035102    IEC60601-1 and Your Electrical Medical Products                              06-09-03
035103    A Bridge to the Future... Capacitance Measurements Through The Ages          07-24-03
035104    What is the Accuracy Anyway?                                                 07-24-03
035105    25 Patents Reference Digibridge                                              10-15-01
035106    Henry Hall: Father of the Digibridge                                         10-15-01
035107    1920 Used in Eddy Current Sensor Testing                                     09-05-03
035108    1689 Digibridge Used In Gas Sensor Materials Testing                         07-24-03
035109    Classification per IEC60601-1                                                06-09-03
035110    EST 101 (IEC60601-1 Electrical Safety Tests)                                 06-06-03
035111    Ensuring the Safety of Medical Electronics                                   06-06-03
035112    Low ESR Capacitor Measurements                                               09-05-03
035113    Measurement of Dielectric Constant and Loss: 1900 LCR Meter & LD-3 Cell      02-11-02
035114    1900 Series Remote I/O Handler                                               03-11-02
035115    Resistive Load Boxes for Hipot Testers and Megohmmeters                      07-29-03
035116    Guardian 6000 Series Scanner Connections                                     03-29-02
035117    Leakage Current ­ Part 1                                                     06-09-03
035118    Leakage Current ­ Part 2                                                     06-09-03
035119    Calibration of 7000 Series Precision LCR Meters                              08-09-02
035120    Testing Power Line Filters using the Guardian 1030S                          08-09-02
035121    1864 Megohmmeter used in DC-10 Aircraft Maintenance                          09-06-02
035122    1864 Megohmmeter used in Aircraft Fuel Pump Inspection                       09-06-02
035123    National Deviations to IEC60601-1                                            06-09-03




                                                        47
               QuadTech Application Notes
A/N P/N   Title/Description                                                                                   Release
035124    Ground Bond Testing per UL 60950                                                                    06-13-03
035125    Connection of Isolation Transformer to Safety Tester                                                05-15-03
035126    Dielectric Strength Testing of External Cardiac Defibrillators: IEC 60601-2-4                       09-05-03
035127    Testing Filter Capacitors on Medical Devices                                                        09-05-03
035128    Hipot Testing Multi-Conductor Feedthroughs used in Implanted Medical Devices                        09-05-03
035129    Digibridge Operation and Technique                                                                  09-12-03
035130    Open and Short Correction                                                                           09-15-03
035131    IR Testing Lithium Batteries for Medical Devices using the 1865 Megohmmeter                         09-15-03
035132    Using the 1900 LCR Meter for Medical Industry Capacitance Testing                                   09-17-03
035133    Automated Quality Testing of Cathode Ray Tubes (CRTs)                                               01-23-04
035134    A New Reliability Diagnostic for Aged Insulation Systems Based on Cure Monitoring of                04-07-04
Shared    "Motorettes" of Catalyzed Mica Tapes Wrapped on Aluminum Bars
          ­ Courtesy of Donald R. Speer, W. J. Sarjeant
035135    Determining Cure of a Varnish/Resin After Impregnation of an Electric Motor Stator or Transformer   04-07-04
Shared    ­ Courtesy of Donald R. Speer, W.J. Sarjeant, and Roger Ripley
035136    Horizon ­ Marine Application, CableTest Application Note AN-146                                     04-07-04
Shared    ­ Courtesy of CableTest Systems Inc.
035137    Mass HiPot Testing, CableTest Technical Bulletin TB-0110A                                           04-07-04
Shared    ­ Courtesy of CableTest Systems Inc.
035138    High Current Source Compliance Limits, CableTest Technical Bulletin TB-0117                         04-07-04
Shared    ­ Courtesy of CableTest Systems Inc.
035139    MPT Horizon ­ Capacitance Measurement, CableTest Technical Bulletin TB-0118                         04-07-04
Shared    ­ Courtesy of CableTest Systems Inc.
035140    DC HiPot Description, CableTest Technical Bulletin TB-0119                                          04-07-04
Shared    ­ Courtesy of CableTest Systems Inc.
035141    F-Type Leakage Measurements with the Guardian 6100                                                  06-14-04




                                                        48
Glossary




   49
AC                                                                  Clearance
Alternating current, an electric current that has one               Clearance is the shortest distance between two conduc-
polarity during part of the cycle and the opposing polari-          tors through air or insulating medium.
ty during the other part of the cycle. Residential electric-
ity is AC.                                                          Compare
                                                                    A procedure for sorting components by comparing the
Accuracy                                                            component's measured value against a known standard.
The difference between the measured value or reading
and the true or accepted value. The accuracy of an LCR              Conductivity
meter is typically given as a +/- percentage of the meas-           The ratio of electric current density to the electric field in
ured value for primary parameters and +/- an absolute               a material. Conductivity is also known as `specific con-
value for the secondary parameter. Example: +/-0.05%                ductance' and is the reciprocal of resistivity.
for L, C & R and +/-0.0005 for Df.
                                                                    Creepage
ANSI                                                                Creepage is the shortest path along the surface of an
American National Standards Institute, an industry asso-            insulator or insulating medium that separates two con-
ciation that defines standards for                                  ductors. The insulator or insulation medium cannot be
data processing and communication.                                  air.

Basic Accuracy                                                      CSA
The basic accuracy is specified at optimum test signal,             Canadian Standards Association.
frequency, highest accuracy setting or slowest measure-
ment speed and impedance of the DUT. As a general                   Current
rule this means 1VAC RMS signal level, 1kHz frequency,                 Constant Current
high accuracy which equates to 1 measurement/second                    Current the measuring instrument will output during
and a DUT impedance between 10 and 100k.                               a resistance test, independent of device loading.

Binning                                                                 Current Polarity
A procedure for sorting components into bins using                      Test signal type: positive or negative DC or positive
sequential limits or nested limits.                                     or negative pulse. Helps reduce thermal emf effects.

Capacitor                                                           DC
Abbreviated as C (as in LCR). A capacitor is a passive              Direct current, non-reversing polarity. The movement of
component comprised of two conductors separated by a                charge is in one direction. Used to describe both current
dielectric. A capacitor stores charge, blocks DC flow and           and voltage. Batteries supply direct current.
allows AC flow based on frequency and capacitor
design.                                                             Delay Time
                                                                    The amount of time an instrument waits before perform-
Capacitance                                                         ing a task.
The ratio of charge on either plate of a capacitor to the
potential difference (voltage) across the plates. When a            Discharge
voltage is applied, current flows immediately at a high             The act of draining off an electrical charge to ground.
rate and then decays exponentially toward zero as the               Devices that retain charge should be discharged after a
charge builds up. If an ac voltage is applied, an ac cur-           DC hipot or IR test.
rent appears to flow continuously because the polarity of
the voltage is reversed at the frequency of the applied             DUT
voltage. The waveform of this current, however, is dis-             Device Under Test - the product being tested.
placed in time from the applied voltage by 90°.
                                                                    Dwell Time
Capacitive Reactance                                                The amount of time the DUT is allowed to stabilize at the
Measurement of the actual AC resistance of a capacitor.             test voltage before measurements are performed.
How effective a capacitor is in allowing AC to flows
depends upon its capacitance and frequency.
Xc = 1/2fC.

                                                               50
emf                                                                  IEEE 488
Electromotive force: the difference in electric potential            General Purpose Interface Bus (GPIB) - an industry
that exists between two dissimilar electrodes immersed               standard definition of a parallel bus connection for the
in the same electrolyte or otherwise connected by ionic              purpose of communicating data between devices.
conductors.
                                                                     Impedance
Electric Current                                                     A term used with alternating current circuits to describe
The flow of electrons (or electron "holes") through a con-           the "ac resistance" to the flow of current through a circuit
ducting material, which may be a solid, liquid, or gas; the          when an ac voltage is applied across the terminals of
rate of flow of charge past a given point in an electric cir-        that circuit. Impedance is a complex quantity composed
cuit. The magnitude of current flow through the conduc-              of real (in phase with voltage) and reactive (out of phase
tor is proportional to the magnitude of voltage or electri-          by 90°) components. Impedance is calculated as voltage
cal potential applied across the conductor and inversely             divided by current.
proportional to the resistance (or impedance) of the con-
ductor. Current is expressed in amperes or milliamperes              Impedance (Z) is a vector summation of resistance (R)
(amperes/1000).                                                      and reactance (X).
                                                                     Capacitors: Reactance = XC = 1/jC
Equivalent Circuit                                                   Inductors: Reactance = XL = jL
The configuration of the device under test. The compo-
                                                                     Resistors: Resistance = R
nents of the DUT can be represented as a series or par-
allel equivalent circuit.                                            Impedance = Z = square root (X2 + R 2)

Fall Time                                                            Inductor
The amount of time it takes to gradually decrease the                Abbreviated L (as in LCR). An inductor is a coil of wire. It
voltage to zero potential.                                           is used to create electromagnetic induction in a circuit.

Frequency                                                            Inductance
The rate at which a current or voltage reverses polarity             The property of a coil to oppose any change in current
and then back again completing a full cycle, measured in             through it. If the turns (coils) of the wire are stretched out,
Hertz (Hz) or cycles per second.                                     the field intensity will be less and the inductance will be
                                                                     less. Unit of measure is the Henry (H).
Ground
The base reference from which voltages are measured,                 Inductive Reactance
nominally the same potential as the earth. Also the side             A measure of how much the counter electro-magnetic
of a circuit that is at the same potential as the base ref-          force (emf) of the coil will oppose current variation
erence.                                                              through the coil. The amount of reactance is directly pro-
                                                                     portional to the current variation: XL = 2fL.
Handler
Device for remote control of test instrument in compo-               Kelvin Connection
nent handling operations.                                            A circuit configuration that automatically compensates
                                                                     for measurement errors caused by resistance of leads
Hertz                                                                between a tester and the point of measurement on a
The unit of measure of frequency, equivalent to cycles               DUT.
per second.
                                                                     Level
High Limit                                                           The test signal level is the programmed RMS voltage of
The upper value for a test to be considered a PASS. If               the generator in an LCR meter. The actual test voltage
the measured value is higher than the high limit the test            across the DUT is always less than the programmed
is considered a FAIL.                                                level.

IEEE                                                                 Load
An acronym for Institute of Electrical and Electronic                The total resistance or impedance of all circuits and
Engineers, a professional association of engineers.                  devices connected to a voltage source.


                                                                51
Low Limit                                                          Permittivity
The lower value for a test to be considered a PASS. If             Abbreviated . The dielectric constant multiplied by the
the measured value is lower than the low limit the test is         dielectric constant of empty space (o ), where the per-
considered a FAIL.                                                 mittivity of empty space (o) is a constant in Coulomb's
                                                                   law, equal to a value of 1 in centimeter-gram-second
Milliohmmeter
An instrument designed to measure low values of resist-            units and to 8.854 x 10-12 farads/meter in rationalized
ance using a dc current or voltage.                                meter-kilogram-second units.

NIST                                                               Phase
National Institute of Standards and Technology, an                 The time relationships between alternating voltages, cur-
agency of the U.S. Government that sets standards for              rents, and impedances. Usually expressed as complex
physical measurements and references, formerly called              vectors with "real" (in-phase) and "reactive" (out of
the National Bureau of Standards.                                  phase) components.

NRTL                                                               Polarization
Acronym for Nationally Recognized Testing Laboratory,              A term used to describe a "one way" limitation on the
such as Underwriters Laboratories (UL), Factory Mutual             insertion of a plug into a receptacle for a corded product.
(FM), or Canadian Standards Association (CSA).                     A polarized plug can be inserted in only one orientation
                                                                   and cannot be reversed.
Offset
An automatic zeroing function to correct for leakage cur-          Potential
rents or additional resistance due to test leads or fix-           Electrical potential is a term equivalent to "voltage".
tures. An offset is performed by making a measurement
at the programmed test settings, calculating the differ-           Prefixes
ence between the leakage current or resistance meas-               The prefixes for Multiple Scientific Engineering Symbols
ured and the ideal current or resistance and then sub-             are:
tracting this difference from all future measurements.             1000000000000000         1015         Peta    P
                                                                   1000000000000            1012         Tera    T
Ohm's Law
The fundamental law of electrical circuits that describes          1000000000                109          Giga    G
the relationship between voltage, current and impedance            1000000                   106          Mega    M
(or resistance). For DC circuits, Ohm's Law states that            1000                      103          Kilo    k
Current =Voltage/Resistance. For AC circuits, Current =
                                                                   0.001                     10-3         milli   m
Voltage/Impedance. Stated conversely, Voltage =
Current x Resistance (DC) or Current x Impedance (AC).             0.000001                  10-6         micro   µ
The difference between the dc resistance and ac imped-             0.000000001               10-9         nano    n
ance is that ac circuits must deal with phase and time             0.000000000001            10-12        pico    p
relationships and dc circuits do not.
                                                                   0.000000000000001         10-15        femto   f
Ohms ()
                                                                   Protective Earth
The unit of measure of resistance and impedance,
                                                                   Conductor that connects between any protectively earth-
derived from Ohm's Law.
                                                                   ed parts of a Class I product and an external protective
                                                                   earth connection.
OSHA
Occupational Safety and Hazards Administration, an
                                                                   Microsecond
agency of the U.S. Government that regulates industrial
                                                                   One millionth of a second.
safety.
                                                                   Range
Parameter
                                                                   The resistance ranges the test instrument uses for refer-
Electrical property being tested. The primary parameter
                                                                   ence in making the measurement.
(L, C, R) is the first property characterized of the device
under test. The secondary parameter (D, Q, ) is the
second property characterized of the device under test.

                                                              52
Reactive                                                                   Dry Contact Resistance
The component of an ac voltage, current, or impedance                      Resistance across closed contacts is usually
that is 90° out of phase with the "real" or in phase com-                  decreased, with applied voltage, due to attraction of
ponent. Reactive components are associated with                            molecules on the surface of contacts. By limiting
capacitive or inductive circuits.                                          the test voltage and current, electrical charges to
                                                                           the contacts are minimized.
Real
The component of an ac voltage, current, or impedance                      Low Resistance
that is in phase with the "real" component. Real compo-                    Electrical resistance typically below 10 ohms, often
nents are associated with purely resistive circuits.                       expressed in terms of milliohms (10-3) or micro-
                                                                           ohms (10-6).
Regulation
When applied to electrical circuits, regulation refers to                  Winding Resistance
the variation in output voltage that occurs when the input                 Electrical resistance of windings which comprise
voltage changes or when the connected load changes.                        motors, coils, transformers, relays and ballasts.
When applied to test laboratories and agencies, refers to
the control exercised by these entities over test specs                Resistivity
and rules.                                                             the electrical resistance of a material to the flow of cur-
                                                                       rent times the cross-sectional area of current flow and
Repeatability                                                          per unit length of current path. It is also known as 'spe-
The difference between successive measurements with                    cific resistance'.
no changes in the test setup or test conditions.
                                                                       RS232
Reproducibility                                                        An industry standard definition for a serial line communi-
Similar to repeatability but adds the element of what                  cation link or port.
could be expected under real life conditions.
Reproducibility would take into account the variability in             SCC
things like fixturing where the DUT being tested is                    The Standards Council of Canada, an agency of the
removed from the fixture and then inserted again.                      Canadian Government analogous to OSHA in the United
                                                                       States.
Resolution
The smallest value that can be shown on the display in                 Speed
a digital instrument. LCR meters typically specify a                   The rate at which the instrument makes a measurement
measurement range that is the largest and smallest                     in measurements per second. Speed is inversely propor-
value that can be shown on that meter's display.                       tional to accuarcy.

Resistance                                                             Stabilization Time
The electrical characteristic that impedes the flow of cur-            The time required for a transient disturbance to decay to
rent through a circuit to which voltage has been applied.              a steady state value.
Resistance is calculated by Ohm's Law as voltage divid -
ed by current (for DC circuits). For AC circuits, it is the in-        Source Impedance
phase or "real" component of impedance. Units are                      The impedance of the measuring instrument applied to
expressed in ohms ().                                                  the input terminals of the device under test (DUT). If 1V
                                                                       is the programmed voltage and the source impedance is
    Bonding Resistance                                                 25 ohms, DUT is 25 ohms, then the voltage at the DUT
    Electrical resistance across weld joints, crimped                  is 0.5V.
    connections and bolted joints.
                                                                       Temperature Compensation
    Contact Resistance                                                 Measurements corrected from an ambient temperature
    Measured resistance of closed contacts, typically                  back to a reference temperature (usually 20 degrees C)
    that of switches, relays and connectors.
                                                                       Temperature, Critical
                                                                       Temperature for superconductors at which the electrical
                                                                       resistivity of a metal drops to zero.

                                                                  53
Thermal emf
the voltage generated by connecting two dissimilar met-
als, at different temperatures, together.

Trigger
The device for initiating the test (applying the voltage or
current).

    External Trigger
    The test is initiated via an external source such as a
    computer with an IEEE-488 or Handler interface.
    One measurement is made each time the external
    trigger is asserted on the handler.

    Internal Trigger
    The instrument continuously makes measurements.

    Manual Trigger
    The operator initiates the test by pressing the
    [START] button. One measurement is made each
    time the trigger is pressed.

UL
Underwriters Laboratories, Inc., an NRTL located in
Illinois.

Voltage
The electrical potential applied to a circuit.

Waveform
The instantaneous value of a variable such as voltage or
current plotted against time.

X (Reactance)
Reactance is the imaginary component of Impedance.

Y (Admittance)
Admittance is the reciprocal of Impedance. Y = 1/Z

Z (Impedance)
Impedance is the sum of alternating current oppositions              CompuMess Elektronik GmbH
(capacitive reactance, inductive reactance and resist-                 Lise-Meitner-Str.1, 85716 Unterschleissheim
ance). Z = R + jX                                                         Tel 089-321501-0 Fax 089-321501-11
                                                                     http://www.compumess.de oder http://www.netzteile.de
Zero Offset
A correction for residual resistance resulting for the test
leads and connection. Determined by a SHORT routine
                                                                   QuadTech is a trademark of QuadTech, Inc.
with the Kelvin lead test points shorted together.
                                                                   Digibridge is a registered trademark of QuadTech, Inc.
                                                                   Copyright 2005 by QuadTech, Inc.
                                                                   1ST Edition, June 2005, P/N 030144/A1
                                                                   All rights reserved.
                                                                   Printed in the U.S.A.



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