The diagram below illustrates a reciprocal principle satisfied by an ohmic sample of any shape. The principle

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The diagram below illustrates a reciprocal principle satisfied by an ohmic sample of any shape.

The principle asserts that if the impressed currents satisfy IA = IB, the measured voltages satisfy V= VB.
Prove this by evaluating the integral

in two different ways. Assume that the current enters and exits the sample at delta function sources and sinks.

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