A circuit contains an ideal battery of potential difference \(V_0\), an open switch \(S\), two identical resistors of resistance \(R\) (labeled \(R_1\) and \(R_2\)), and an initially uncharged capacitor of capacitance \(C\). Resistor \(R_1\) is in series with the battery, while resistor \(R_2\) and capacitor \(C\) are connected in parallel with each other. At time \(t = 0\), switch \(S\) is closed. Which of the following correctly indicates the initial current \(I_0\) supplied by the battery immediately after switch \(S\) is closed and describes the potential difference \(V_2\) across resistor \(R_2\) as time progresses?