The electrostatic potential of a uniformly charged thin spherical shell of charge Q and radius R at a distance r from the centre is

Question

The electrostatic potential of a uniformly charged thin spherical shell of charge Q and radius R at a distance r from the centre is (A) (Q/4 π ε0 r) for points outside and (Q/4 π ε0 R) for points inside the shell (B)  ( Q/ 4 π ε0 r) for both points inside and outside the shell (C) zero for points outside and ( Q/ 4 π ε0 r) for points inside the shell (D) zero for both points inside and outside the shell

Tardigrade Admin · Accepted Answer

If charge on a conducting sphere of radius R is Q then potential outside the sphere, V text out =(1/4 π ε0) (Q/r) At the surface of sphere Vs=(1/4 π ε0) (Q/R)

Q. The electrostatic potential of a uniformly charged thin spherical shell of charge $Q$ and radius $R$ at a distance $r$ from the centre is

$\frac{Q}{4 π ε _{0} r}$ for points outside and $\frac{Q}{4 π ε _{0} R}$ for points inside the shell

$\frac{Q}{4 π ε _{0} r}$ for both points inside and outside the shell

zero for points outside and $\frac{Q}{4 π ε _{0} r}$ for points inside the shell

zero for both points inside and outside the shell

If charge on a conducting sphere of radius $R$ is $Q$ then potential outside the sphere,
$V_{out} = \frac{1}{4 π ε _{0}} \frac{Q}{r}$
At the surface of sphere
$V_{s} = \frac{1}{4 π ε _{0}} \frac{Q}{R}$

Q. The electrostatic potential of a uniformly charged thin spherical shell of charge Q and radius R at a distance r from the centre is

4πε0​rQ​ for points outside and 4πε0​RQ​ for points inside the shell

4πε0​rQ​ for both points inside and outside the shell

zero for points outside and 4πε0​rQ​ for points inside the shell