A circuit contains an ideal battery of emf \(\mathcal{E}\), a switch \(S\), three identical resistors of resistance \(R_1 = R_2 = R_3 = R\), and an initially uncharged capacitor of capacitance \(C\). Resistor \(R_1\) is connected in series with the battery, while resistors \(R_2\) and \(R_3\) are in two parallel branches, with \(R_3\) in series with the capacitor \(C\) in its branch. The switch \(S\) is closed at time \(t = 0\). Which of the following claims correctly describes how the current \(I_2\) through resistor \(R_2\) changes for \(t > 0\), and provides the correct physical justification?