Question

Radius of a non-conducting sphere is $R$ and volume charge density is $\rho$. Electric field at a distance $r(r<R)$ will follow

• A. $E\propto r^2$
• B. $E\propto r^{-1}$
• C. $E\propto r$
• D. $E\propto r^{-2}$

Answer 1

The correct option is C $E\propto r$

For non-conducting uniformly charged sphere, formula for electric field inside the sphere at a distance $r$ from center is given by

$E=\frac{\rho r}{3{ϵ}_0}$

So, $E\propto r$

Therefore, $\left(c\right)$ is correct choice.