In the circuit shown, an ideal battery of EMF \(\mathcal{E}\) is connected in series with a two-position switch \(S\), a resistor of resistance \(R_1\), and an ideal inductor of inductance \(L\). The switch has been closed in position 1 for a long time so that the circuit has reached a steady state. At time \(t = 0\), the switch is instantaneously moved to position 2, disconnecting the battery and connecting the inductor directly across a second resistor of resistance \(R_2\) in an isolated closed loop. Which of the following expressions represents the magnitude of the potential difference \(V(t)\) across the resistor of resistance \(R_2\) as a function of time \(t\) for \(t > 0\)?