The figure shows a network of resistor each having value $12 \mathrm{\Omega }$. Find the equivalent resistance between points $A$ and $B$ (in $\mathrm{\Omega }$).

In the given arrangement of resistances, find the equivalent resistance (in $\mathrm{\Omega }$) between points $A$ and $B$ in the figure. Each resistance $R$, in magnitude, is equal to $10 \mathrm{\Omega }$.

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.