In the given network in the figure, find the charge on the capacitor (in $\mathrm{\mu C}$)

If the switches $S_1,S_2$, and $S_3$ in the figure are arranged such that the current through the battery is minimum, find the voltage across points $A$ and $B$ (in $\mathrm{V}$).

Find the potential difference (in $\mathrm{V}$) between points $A$ and $B$ shown in the circuit.

In the circuit shown, each resistance is $2 \mathrm{\Omega }$. The potential $V_1$ is as indicated in the circuit. What is the magnitude of $V_1$ in $\mathrm{volt}$?