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AP Physics 2
11.8 Resistor-Capacitor (RC) Circuits
IntermediateMCQMathematicalConceptual20k
A schematic diagram of an electrical circuit. On the left vertical branch is an ideal DC battery labeled V_0 with its positive terminal at the top. On the top horizontal branch, an open switch labeled S is located near the battery, followed by a resistor labeled R_1 in series. To the right of R_1, the circuit splits into two parallel vertical branches: the first parallel branch contains a resistor labeled R_2, and the second parallel branch contains an uncharged capacitor labeled C. The bottom horizontal wire connects both parallel branches back to the negative terminal of the battery. No other components or construction lines are present.
Schematic diagram of the RC circuit with switch S open.
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?

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