Question

A hollow metal sphere of radius 5 cm is charged such that the potential on its surface is 10 V. What is the potential at the centre of the sphere? [AI 2011]

Answer 1

$\mathtt{\huge{ \fbox{Solution :)}}}$

Given ,

• The radius of hollow metal sphere = 5 cm

• The potential at surface of sphere = 10 v

We know that ,

For inside point , the electric potential due to uniformly charged spherical shell is zero

This means that the potential inside the shell is constant i.e

The potential at any point inside the sphere is equal to the potential on the surface

Thus ,

The potential at the centre is same as the potential on the surface which is 10 v

Hence , the potential at the centre of sphere is 10 v