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.

Question

Philoid · Accepted Answer

When the slider is in the middle the resistance of each part of the potentiometer becomes R₀/2

The resistance of the parallel combination of R and R₀/2 is,

The equivalent resistance between A and C

On solving , We get

The equivalent resistance of the circuit becomes,

The net current in the circuit is,

Voltage across R is,

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.