The conducting spherical shells shown in the figure are connected by a conductor. The capacitance of the system is
$4\pi {\varepsilon _0}\,\frac{{ab}}{{b - a}}$
$4\pi {\varepsilon _0}\,a$
$4\pi {\varepsilon _0}\,b$
$4\pi {\varepsilon _0}\,\frac{{{a^2}}}{{b - a}}$
Force between $A$ and $B$ is $F$. If $75\%$ charge of $A$ is transferred to $B$ then force between $A$ and $B$ is
Two charges $+q$ and $-3q$ are placed on $x-$ axis separated by a distance $d$. ($-3q$ is right of $q$) Where should a third charge $2q$ be placed such that it will not experience any force ?
The equivalent capacitance between points $A$ and $B$ of the circuit shown will be
A point charge $'q'$ is placed at a point inside a hollow conducting sphere. Which of the following electric force pattern is correct ?
Two thin wire rings each having a radius $R$ are placed at a distance $d$ apart with their axes coinciding. The charges on the two rings are $+ q$ and $-q$. The potential difference between the centres of the two rings is