Two indentical metal plates are given charges $q_1$ and $q_2$ $(q_2 < q_1)$ respectively. They are brought close together to form a parallel plate capacitor with capacitance 'C'. The potential difference 'V' between the plates is

If the equivalent capacitance between points A and B of the combination of capacitors shown in figure, is 6C, the capacitor $C^1$ is

Three capacitors $C_1$, $C_2$ and $C_3$ are connected to voltage source V as shown in figure. The voltage across $C_3$ will be

Two capacitors, $C_1$ and $C_2$ have their capacitances in the ratio 1:2. $V_s$ and $V_p$ are the potential differences applied across the series and parallel combination of $C_1$ and $C_2$ respectively, so that the energy stored in the two cases becomes same. The ratio $V_s$ to $V_p$ is