Question

The electric field due to a uniformly charged sphere of radius R as a function of the distance from its centre is represented graphically by

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

$E_{inside}=\frac{\rho }{3{ϵ}_0}r$ (r < R)
$E_{outside}=\frac{\rho R^3}{3{ϵ}_0{r}^2}$ $(r\ge R)$
i.e. inside the uniformly charged sphere field varies linearly $\left(E\infty r\right)$ with distance and outside varies according to $E\infty \frac{1}{r^2}$