[Physics] Do the copper connectors we used in measuring the resistance of a wire contribute to the said measurement

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We measured the resistance of a wire by setting the multimeter to ohmmeter mode and connected the ends of the ohmmeter to the ends of the wire; and we also calculated the theoretical value using a table of resistivity. The given wire is made of nichrome material. But the measured value deviates about 40% of the theoretical one. Do the connectors made of copper contribute to the measured resistance?

Best Answer

Short answer - yes, everything in the circuit can contribute. But usually, an ohmmeter is zeroed with the probes in place - in other words, whatever resistance the probes represent is taken out by the meter.

There are two other factors that play a role, especially when you try to measure small resistance. The first of these is contact resistance: it is possible that there is a small amount of oxidation on the wire you are measuring, and this can represent a significant resistance. This is represented by this first diagram:

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The small resistance in the probe wires (and contacts) is included in the measurement - this will affect your precision.

The way to avoid this problem is to use a Kelvin (four point) configuration - four wires used for precision resistance measurement. In this configuration, you use two wires to generate the current through the test object, and two different wires to measured the voltage generated. This ensures that the voltage measured is due ONLY to the resistance in the device under test - resistance of probe wires and contact resistance is eliminated.

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It is usual to have the voltage measurement as the inside pair. Some multimeter probes actually have two connections on the clip precisely to make this measurement easier.

The second factor is a result of differences in materials. As you know, in a junction of unlike materials a small thermally induced voltage is generated (this is the principle behind the thermocouple). If your device under test does not have uniform temperature, then this thermal difference will result in a bias in the measured voltage (even with a Kelvin configuration). This can be mitigated by using an AC measurement - or more simply, by reversing your multimeter and measuring again. If there is a DC bias, it is always in the same direction; and measuring in both directions will subtract out the bias, leaving you with just the contribution of the resistivity of the device under test (D.U.T).

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