Question

A resistance of R draws current from a potentiometer. The potentiometer wire, AB, has a total resistance of R0. A voltage V is supplied to the potentiometer. Derive an expression for the voltage across R when the sliding contact is in the middle of potentiometer wire.

Answer 1

Effective resistance between points A and C is given by

Effective resistance between points A and B is given by

Current drawn from the voltage source, \(I=\frac{V}{R_{2}}\)

Let current through R be I₁

Voltage across R is given by V₁ = I₁R