Problem 24.

A total electric charge of 8 nC is distributed uniformly over the surface of a metal sphere with a radius of 27 cm. If the potential is zero at a point at infinity, find the value of the potential at the following distances from the center of the sphere.

(a) 52 cm

(b) 20 cm

(c) 9 cm

Solution

The potential has the following value:

Then for R=27 cm we have:

(a) 52 cm>R then

(b) 20 cm<R then

(c) 9 cm<R then