AP Physics C: E&M
11.8 Resistor Capacitor (RC) Circuits
Circuit 1 consists of a resistor of resistance \(R\) and an uncharged capacitor of capacitance \(C\) connected in series to an ideal battery of potential difference \(V_0\). Circuit 2 consists of a resistor of resistance \(2R\) and an uncharged capacitor of capacitance \(C\) connected in series to an identical battery. At time \(t = 0\), switches in both circuits are closed to begin charging the capacitors. Let \(t_1\) and \(t_2\) be the times required for the capacitors in Circuit 1 and Circuit 2, respectively, to reach half of their maximum charge. Which of the following correctly compares \(t_1\) and \(t_2\), and describes the shape of the charge versus time graph \(q(t)\) during charging?
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