Question

Match the following two columns :

Answer 1

Consider $k=\frac{1}{4\pi {ϵ}_o}$

Electric field due to charged spherical shell

$=0$for $r<R$

$=\frac{kq}{r^2}$ for r>R (For points beyond R, the sphere behaves a point charge concentrated at the center)

Electric potential due to charged spherical shell

The potential inside the shell remains constant till $r=R$. After that it reduces according to $V\propto 1/r$

Electric field due to charged solid sphere

$=\frac{kqr}{R^3}$ for r<R (Here $E\propto r$)

$=\frac{kq}{r^2}$ for r>R

Electric potential due to charged solid sphere

$=\frac{1}{2}\frac{kq(3R^2-r^2)}{R^3}$ for r<R

$=\frac{kq}{r}$ for r>R.