Question

The electrostatic potential of a uniformly charged thin spherical shell of charge $Q$ and radius $R$ at a distance $r$ from the centre is

• A. $\frac{Q}{4 \pi \varepsilon_{0} r}$ for points outside and $\frac{Q}{4 \pi \varepsilon_{0} R}$ for points inside the shell
• B. $ \frac{ Q}{ 4 \pi \varepsilon_0 r}$ for both points inside and outside the shell
• C. zero for points outside and $ \frac{ Q}{ 4 \pi \varepsilon_0 r}$ for points inside the shell
• D. zero for both points inside and outside the shell

Answer 1

Answer: (A)

If charge on a conducting sphere of radius $R$ is $Q$ then potential outside the sphere,
$V_{\text {out }}=\frac{1}{4 \pi \varepsilon_{0}} \frac{Q}{r}$
At the surface of sphere
$V_{s}=\frac{1}{4 \pi \varepsilon_{0}} \frac{Q}{R}$