Question

The dependence of electric potential $V$ on the distance ${}^{\prime }{r}^{\prime }$ from the centre of a charged spherical shell is shown by

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

As we know that
$V_{\text{inside}}=V_{\text{surface}}=\frac{kQ}{R}$, where $Q$ is the total charge on the surface of the spherical shell and $R$ is the radius of the shell.
So, the electric potential will be constant as $Q$ and $R$ are constant.
and, $V_{\text{outside}}=\frac{KQ}{r}\Rightarrow V_{\text{outside}}\propto \frac{1}{r}$, where $r$ is the distance of point charge from the shell.
Thus, the variation of $V$ w.r.t. $r$ will be as shown