Three charges $4q,\,Q$ and $q$ are in a straight line in the position of $0$, $l/2$ and $l$ respectively. The resultant force on $q$ will be zero, if $Q = $
$-q$
$ - \,2q$
$ - \frac{q}{2}$
$4q$
A parallel plate capacitor of capacitance $C$ is connected to a battery and is charged to a potential difference $V$ . Another capacitor of capacitance $2C$ is similarly charged to a potential difference $2V$ . The charging battery is now disconnected and the capacitors are connect in parallel to each other in such a way that the positive terminal of one is connected to the negative terminal of the other. The final energy of the configuration is
Electrostatic field of a long uniformly charged wire varies with distance $(r)$ according to relation
Consider a cube of uniform charge density $\rho$. The ratio of electrostatic potential at the centre of the cube to that at one of the corners of the cube is
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
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 :-