Question

A conducting sphere of radius $R$ is given a charge $Q$. The electric potential and the electric field at the centre of the sphere respectively are

• A. Zero and $\frac{Q}{4\pi\varepsilon _0R^2}$
• B. $\frac{Q}{4\pi \varepsilon _0R}$ and Zero
• C. $\frac{Q}{4\pi \varepsilon _0R}$ and $\frac{Q}{4\pi \varepsilon _0R^2}$
• D. Both are Zero

Answer 1

Answer: (B)

$\frac{Q}{4\pi \varepsilon _0R}$ and Zero

Answer 2

For the conducting sphere,
Potential at the centre = Potential on the sphere
$= \frac{1}{4 \pi \varepsilon _0} \frac{Q}{R}$
Electric field at the centre = 0