Question

A hollow metal sphere of radius $5\text{cm}$ is charged such that the potential on the surface is $10\text{V}$. The potential at the centre of the sphere is

• A. $0\text{V}$
• B. $10\text{V}$
• C. $5\text{V}$
• D. $-5\text{V}$

Answer 1

The correct option is B $10\text{V}$



For a hollow metal sphere, the electric potential $\left(V\right)$ inside the sphere at any point is equal to the potential on the surface of the sphere.

So $V_{centre}=V_{surface}=10\text{V}$

$\begin{array}{c}\text{Why this question ?}\\ \text{Concept: Potential inside a hollow metallic}\\ \text{sphere is same as the potential on the surface}\\ V_{inside}=V_{surface}=\frac{kq}{R}\end{array}$