A pointegral charge Q is placed at a distance d from the cen... | PHYSICS - POTENTIAL DUE TO A SYSTEM OF CHARGES | SolveeIt | Solveeit

Today, August 19

Question

A point charge Q is placed at a distance d from the centre of an uncharged conducting sphere of radius R. The potential of the sphere is (d > R)-

A

$\frac{1}{4\pi \in_{0}}.\frac{Q}{(d - R)}$

B

$\frac{1}{4\pi \in_{0}}.\frac{Q}{d}$

C

$\frac{1}{4\pi \in_{0}}.\frac{Q}{R}$

D

Zero

Answer

$\frac{1}{4\pi \in_{0}}.\frac{Q}{d}$

Explanation

Solution

Net potential of the sphere due to the induced charge is zero. Therefore potential is due to the point charge only, equal to potential at the centre of the sphere.