A circuit contains two parallel branches connected across an initially uncharged capacitor of capacitance \(C\) in series with an open switch. Branch 1 consists of an ideal battery of emf \(\mathcal{E}_1 = 12\text{ V}\) and a resistor \(R_1 = 4.0\text{ }\Omega\). Branch 2 consists of an ideal battery of emf \(\mathcal{E}_2 = 6.0\text{ V}\) and a resistor \(R_2 = 2.0\text{ }\Omega\). Both battery positive terminals point toward the top plate of the capacitor. At time \(t = 0\), the switch is closed, and the upward currents \(I_1\) in Branch 1 and \(I_2\) in Branch 2 are recorded as functions of time, as shown in the graph. Which of the following statements correctly interprets the physical behavior of the circuit from the graph?