Electrical Resistance between 2 points in homogeneous plane?

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SUMMARY

The discussion focuses on determining electrical resistance between two points in a homogeneous resistive material, specifically graphite. The two-point probe method is highlighted as a straightforward approach to measure resistance, where the resistance is calculated using the ratio of voltage (V) to current (I). For calculating voltage differences between arbitrary points, the discussion emphasizes the necessity of finite element analysis, which accounts for the geometry of the sample and probe configuration. Tools such as the Kelvin probe and four-point probe techniques are also mentioned for accurate resistance measurements.

PREREQUISITES
  • Understanding of two-point probe and four-point probe measurement techniques
  • Familiarity with finite element analysis (FEA) methods
  • Knowledge of electrical resistance and Ohm's Law
  • Basic concepts of resistive materials, particularly graphite
NEXT STEPS
  • Research the principles of the Kelvin probe and its applications in resistance measurement
  • Learn about finite element analysis software tools for electrical simulations
  • Explore advanced techniques in four-point probe measurements for improved accuracy
  • Study the effects of geometry on electrical resistance in homogeneous materials
USEFUL FOR

Electrical engineers, materials scientists, and researchers involved in resistance measurement and analysis of conductive materials.

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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