(a) Two wires of the same material and the same radius have their lengths in the ratio $2 : 3$. They are connected in parallel to a battery which supplies a current of $15 \text{ A}$. Find the current through the wires. OR (b) In the circuit three ideal cells of e.m.f. $V, V$ and $2V$ are connected to a resistor of resistance $R$, a capacitor of capacitance $C$ and another resistor of resistance $2R$ as shown in figure. In the steady state find (i) the potential difference between $P$ and $Q$ and (ii) potential difference across capacitor $C$.