Question

Consider a conducting spherical shell of radius $R$ with its center at the origin, carrying uniform positive surface charge density. The variation of the magnitude of the electric field $|\overrightarrow{E}\left(r\right)|$ and the electric potential $V\left(r\right)$ with the distance $r$ from the center, is best represented by the graph
(Here dotted line represents potential curve and bold line represents electric field curve):

• A.
• B.
• C.
• D.

Answer 1

The correct option is D

For a $Q$ charged metal shell of radius $R$, electric field and electric potential can be described as follow

$E_{inside}=0;V_{inside}=\frac{kQ}{R}=\text{const}ant$

$E_{outside}=\frac{kQ}{r^2};V_{outside}=\frac{kQ}{r}$

Based on the above formula, graph of option $\left(d\right)$ is correct.