The electrostatic potential on the surface of uniformly charged s… - Vidyadip

MCQ

The electrostatic potential on the surface of uniformly charged spherical shell of radius $R =10 cm$ is 120 V . The potential at the centre of shell, at a distance $r =5 cm$ from centre, and at a distance $r =15 cm$ from the centre of the shell respectively, are :

A
$120 V, 120 V, 80 V$
B
$40 V, 40 V, 80 V$
C
$0 V, 0 V, 80 V$
D
$0 V, 120 V, 40 V$

✓

Answer

(A) $120 V, 120 V, 80 V$
Potential inside shell is equal to potential on surface
$
\begin{array}{l}
V_{\text {in }}=V_{\text {surface }}=\frac{kQ}{R}=120 V \\
\text { at } r=15 cm \\
V=\frac{kQ}{r}=\frac{120 \times 10}{15}=80 V
\end{array}
$

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