Question

A hollow metal sphere of radius $R$ is charged with a charge $Q$. The electric potential and intensity inside the sphere are respectively:

• A. $\frac{Q}{4\pi {ϵ}_0{R}^2}$ and $\frac{Q}{4\pi {ϵ}_{0}R}$
• B. $\frac{Q}{4\pi {ϵ}_{0}R}$ and zero
• C. Zero and sero
• D. $\frac{4\pi {ϵ}_{0}Q}{R}$ and $\frac{Q}{4\pi {ϵ}_0{R}^2}$

Answer 1

The correct option is B $\frac{Q}{4\pi {ϵ}_{0}R}$ and zero

Inside a metallic sphere, electric field is zero. This is known as electrostatic shielding.

As, electric field inside the metallic sphere is zero, potential inside the sphere is equal to that at the surface i.e. potential inside the sphere is

$V=\frac{Q}{4\pi {\epsilon }_{o}R}$