If the charge on a capacitor is increased by $2\, C$ the energy stored in it increases by $21\%$. The original charge on the capacitor (in coulomb) is
$10$
$20$
$30$
$40$
Electric flux through surface $s_1$
A solid coducting sphere having a charge $Q$ is surrounded by an uncharged concentric conducting hollow spherical shell. Let the potential difference between the surface of the solid sphere and that of the outer surface of the hollow shell be $V$. If the shell is now given a charge $-3Q$, the new potential difference between the same two surface is :-........$V$
Five conducting parallel plates having area $A$ and separation between them $d$, are placed as shown in the figure . Plate number $2$ and $4$ are connected wire and between point $A$ and $B$, a cell of emf $E$ is connected . The charge flown through the cell is :-
The electric flux from a cube of edge $l$ is $\phi $. If an edge of the cube is made $2l$ and the charge enclosed is halved, its value will be
Two charges $q_1$ and $q_2$ are placed $30\,cm$ apart, as shown in the figure. A third charge $q_3$ is moved along the arc of a circle of radius $40\,cm$ from $C$ to $D$. The change in the potential energy of the $\frac{{{q_3}}}{{4\pi \,{ \in _0}}}k$ , where $k$ is