Question

A hollow metallic sphere of radius R is given a charge Q. The potential at its centre is

• A. $Zero$
• B. $\frac{1}{4\pi {ϵ}_0}.\frac{Q}{R}$
• C. $\frac{1}{4\pi {ϵ}_0}.\frac{2Q}{R}$
• D. $\frac{1}{4\pi {ϵ}_0}.\frac{Q}{2R}$

Answer 1

The correct option is B $\frac{1}{4\pi {ϵ}_0}.\frac{Q}{R}$

Potential any where inside the hollow conducting sphere, including the centre is $V=\frac{1}{4\pi {ϵ}_0}\frac{Q}{R}$.