Electrical Resistance between 2 points in homogeneous plane?

AI Thread Summary
To determine the electrical resistance between two points in a homogeneous resistive material like graphite, one can use methods such as the two-point probe technique, which involves measuring the current and voltage to calculate resistance using the ratio V/I. For measuring resistance and resistivity, techniques like the Kelvin probe or four-point probe are also applicable. To find the voltage difference between other arbitrary points after applying voltage across two points, finite element analysis is recommended, as the calculation is complex and depends on the geometry of the sample and probes used. Understanding these methods is crucial for accurate measurements in resistive materials. Proper analysis and measurement techniques are essential for effective electrical resistance evaluation.
memoguy
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Hi there!

Just say I have large square piece of some homogeneous resistive material like graphite. How would I go about determining the resistance between any two given points?

Further, just say I supply a voltage across two arbitrary points, can I determine the voltage difference between any other two arbitrary points?

I don't even know where to begin with this.
 
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See Kelvin probe or four point probe for the measurement of resistance and resistivity.
http://en.wikipedia.org/wiki/Four-terminal_sensing
You can also use two point probe, where you measure the current in the external circuit and the voltage between the two points. The ratio V/I will be the resistance between the two points.

About calculating the voltage between other two points, it can be done but it is not trivial. You will need to do some finite element analysis of your system.
It depend on the geometry of the sample and probe.
 
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