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AP Physics 2
11.8 Resistor-Capacitor (RC) Circuits
11.5 Compound Direct Current (DC) Circuits
AdvancedMCQMathematicalConceptual17.9k
A rectangular schematic diagram of a DC circuit. On the left vertical segment is an ideal battery labeled \(\varepsilon\), with the longer positive plate at the top. The top wire extends to the right, containing an open switch labeled \(S\) and a resistor labeled \(R\). To the right of resistor \(R\), the wire reaches a junction that splits into two parallel vertical branches. The middle vertical branch contains a single resistor labeled \(2R\). The right vertical branch contains an uncharged capacitor labeled \(C\) in series above a resistor labeled \(R\). The bottom ends of both vertical branches connect to a common bottom horizontal wire that returns to the negative terminal of the battery. No other labels, lines, text, or components appear.
Circuit schematic with battery, switch, resistors, and capacitor.
A circuit consists of an ideal battery of emf \(\varepsilon\), an open switch \(S\), three resistors with resistances \(R\), \(2R\), and \(R\), and an initially uncharged capacitor of capacitance \(C\), connected as shown in the diagram. At time \(t = 0\), switch \(S\) is closed. In terms of \(\varepsilon\) and \(R\), what are the currents through the battery immediately after switch \(S\) is closed and a long time after switch \(S\) is closed?

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