A thin spherical conducting shell of radius $R$ has a charge $q$ . Another charge $Q$ is placed at the centre of the shell. The electrostatic potential at a point $P$ at a distance $R/2$ from the centre of the shell is

  • A

    $\frac{{2Q}}{{4\pi { \in _0}R}}$

  • B

    $\frac{{2Q}}{{4\pi { \in _0}R}} - \frac{{2q}}{{4\pi { \in _0}R}}$

  • C

    $\frac{{2Q}}{{4\pi { \in _0}R}} + \frac{q}{{4\pi { \in _0}R}}$

  • D

    $\frac{{(q + Q)}}{{4\pi { \in _0}R}}\frac{2}{R}$

Similar Questions

An infinite number of charges each equal to $0.2\,\mu C$ are arranged in a line at distances $1\,m, 2\,m, 4\,m, 8\,m......$ from a fixed point. The potential at fixed point is ......$kV$

A hemispherical bowl of mass $m$ is uniformly charged with charge density $'\sigma '$ . Electric potential due to charge distribution at a point $'A'$ is (which lies at centre of radius as shown).

Assertion: Electron move away from a region of higher potential to a region of lower potential.

Reason: An electron has a negative charge.

  • [AIIMS 1999]

Draw a graph showing variation of potential with $r$ distance for a uniformly charged spherical shell.

An electric charge $10^{-3}\ \mu C$ is placed at the origin $(0, 0)$ of $X-Y$ coordinate  system. Two points $A$ and $B$ are situated at $(\sqrt 2 ,\sqrt 2 )$ and $(2, 0)$ respectively. The potential difference between the points $A$ and $B$ will be......$V$