Question

A conducting sphere of radius ' $\text{R}$ ' is given a charge ' $Q$ ' uniformly. The electric field and the electric potential at the centre of the sphere are respectively [ $\varepsilon_0 =$ permittivity of free space]}

• A. zero and $\frac{Q}{4\pi\varepsilon_0 R}$
• B. $\frac{\text{Q}}{4\pi\varepsilon_0 \text{R}^2}$ and zero
• C. $\frac{\text{Q}}{4\pi\varepsilon_0 \text{R}}$ and $\frac{\text{Q}}{4\pi\varepsilon_0 \text{R}^2}$
• D. zero and zero

Hint:

Inside a hollow/conducting sphere: $E = 0$ but $V \neq 0$. The potential is "flat" like a tabletop across the interior.

Answer 1

The Correct Option is A