In the circuit shown, an ideal battery of EMF \(\mathcal{E}\) is connected in series with an open switch \(S\) to a bridge network. One parallel branch consists of a resistor of resistance \(R\) connected in series with a resistor of resistance \(2R\) at node \(X\). The other parallel branch consists of a resistor of resistance \(2R\) connected in series with a resistor of resistance \(R\) at node \(Y\). An unenergized inductor of inductance \(L\) connects node \(X\) to node \(Y\). The switch is closed at time \(t = 0\). Which of the following correctly describes the effective behavior of the inductor and the magnitude of the current through it immediately after the switch is closed (\(t = 0^+\)) and long after the switch is closed (\(t \to \infty\))?