A capacitor of capacitance $C_0$ is charged to a potential $V_0$ and is connected with another capacitor of capacitance $C$ as shown. After closing the switch $S$, the common potential across the two capacitors becomes $V$. The capacitance $C$ is given by
$\frac{{{C_0}\left( {{V_0} - V} \right)}}{{{V_0}}}$
$\frac{{{C_0}\left( {V - {V_0}} \right)}}{{{V_0}}}$
$\frac{{{C_0}\left( {V + {V_0}} \right)}}{V}$
$\frac{{{C_0}\left( {{V_0} - V} \right)}}{V}$
A dipole having dipole moment $p$ is placed in front of a solid uncharged conducting sphere are shown in the diagram. The net potential at point $A$ lying on the surface of the sphere is :-
A charge $Q$ is distributed over two concentric hollow spheres or radius $r$ and $R(> r)$ such that the surface densities are equal. The potential at the common centre is
A point charge $q$ is placed at a distance $\frac{a}{2}$ directly above the centre of a square of side $a$ . The electric flux through the square is
A parallel plate capacitor of area $A$, plate separation $d$ and capacitance $C$ is filled with three different dielectric materials having dielectric constant $K_1,K_2$ and $K_3$ as shown. If a single dielectric material is to be used to have the same capacitance $C$ in this capacitor, then its dielectric constant $K$ is given by: ($A =$ Area of plates)
In the circuit shown, a potential difference of $30\, V$ is applied across $AB$ . The potential difference between the points $M$ and $N$ is....$V$