Question

If an insulated non-conducting sphere of radius R has charge density $\rho$. The electric field at a distance r from the centre of sphere (r < R) will be

• A. $\frac{\rho R}{3{ϵ}_0}$
• B. $\frac{\rho r}{{ϵ}_0}$
• C. $\frac{\rho r}{3{ϵ}_0}$
• D. $\frac{3\rho R}{{ϵ}_0}$

Answer 1

The correct option is C $\frac{\rho r}{3{ϵ}_0}$

For non-conducting uniformly charged sphere $E_{in}=\frac{k.Qr}{R^3}=\frac{\rho r}{3{ϵ}_0}$