Question

On what factor does the petential gradient depend?

Answer 1

Solution :

The fall of potential across a potentiometer wire of length l is given by

$V=IR$

$\quad= \large\frac{I \rho l}{A}$

Potential gradient $k= \large\frac{v}{l} =\frac{I \rho}{A}$

$\qquad= k \infty I=>$ current passing through the potentio meter wire.

(ii) $k \infty \rho$ (ie) specific resistance of the material of the potentiometer wire.

(iii) $k \infty \large\frac{1}{A}$

(ie) area of cross section of the wire

Answer 2

Solution :

The fall of potential across a potentiometer wire of length l is given by

$V=IR$

$\quad= \large\frac{I \rho l}{A}$

Potential gradient $k= \large\frac{v}{l} =\frac{I \rho}{A}$

$\qquad= k \infty I=>$ current passing through the potentio meter wire.

(ii) $k \infty \rho$ (ie) specific resistance of the material of the potentiometer wire.

(iii) $k \infty \large\frac{1}{A}$

(ie) area of cross section of the wire