Seven capacitors, each of capacitance $2\,\mu F$ are to be connected to obtain a capacitance of $10/11\,\mu F$ .Which of the following combinations is possible ?
$5$ in parallel $2$ in series
$4$ in parallel $3$ in series
$3$ in parallel $4$ in series
$2$ in parallel $5$ in series
In the figure shown, the potential difference between points $A$ and $B$ is......$V$
A parallel plate capacitor is charged to a potential difference of $100\,V$ and disconnected from the source of $emf$. A slab of dielectric is then inserted between the plates. Which of the following three quantities change?
$(i)$ The potential difference $(ii)$ The capacitance $(iii)$ The charge on the plates
A charge $q$ is placed at the centre of the line joining two equal charges $Q$. The system of the three charges will be in equilibrium, if $q$ is equal to
Three point charges $+q, -2q$ and $+q$ are placed at points $(x = 0, y = a, z = 0), (x = 0, y = 0,z = 0)$ and $(x = a, y = 0, z = 0)$ respectively. The magnitude and direction of the electric dipole moment vector of this charge assembly are
Electric field at a place is $\overrightarrow E = {E_0}\widehat i\,\,V/m$. A particle of charge $+q_0$ moves from point $A$ to $B$ along a circular path find work done in this motion by electric field :-