The work done in placing a charge of $8 \times 10^{-18}$ coulomb on a condenser of capacity $100\, micro-farad$ is
$16 \times {10^{-32}}\,J$
$3.1 \times {10^{-26}}\,J$
$4 \times {10^{-10}}\,J$
$32 \times {10^{-32}}\,J$
A series combination of $n_1$ capacitors, each of value $C_1$, is charged by a source of potential difference $4V$. When another parallel combination of $n_2$ capacitors, each of value $C_2$, is charged by a source of potential difference $V$ , it has the same (total) energy stored in it, as the first combination has. The value of $C_2$ , in terms of $C_1$, is then
A hollow cylinder has a charge $q$ coulomb within it. If $\phi $ is the electric flux in units of voltmete associated with the curved surface $B$ , the flux linked with the plane surface $A$ in units of volt-meter will be
The charge $q$ on a capacitor varies with voltage as shown in figure. The area of the triangle $AOB$ is proportional to
A parallel plate condenser with plate area $A$ and separation $d$ is filled with two dielectric materials as shown in the figure. The dielectric constants are $K_1$ and $K_2$ respectively. The capacitance will be
The force on a charge situated on the axis of a dipole is $F$. If the charge is shifted to double the distance, the new force will be