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AP Physics 2
11.8 Resistor-Capacitor (RC) Circuits
11.5 Compound Direct Current (DC) Circuits
10.6 Capacitors
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AdvancedMCQMathematicalProportional AnalysisConceptual25.1k
Circuit schematic containing an ideal battery, a switch, three resistors, and two capacitors.
Circuit schematic containing an ideal battery, a switch, three resistors, and two capacitors.
In the circuit shown, an ideal battery of potential difference \(\varepsilon\) is connected to an open switch \(S\), three identical resistors each of resistance \(R\), and two uncharged capacitors of capacitance \(C\) and \(2C\). The parallel combination of resistor \(R_1\) and capacitor \(C_2\) (capacitance \(2C\)) is connected in series with the battery and switch. This combination connects to two parallel branches: one branch containing resistor \(R_2\), and the other branch containing resistor \(R_3\) in series with capacitor \(C_1\) (capacitance \(C\)). Which of the following correctly pairs the current delivered by the battery immediately after switch \(S\) is closed, \(I_0\), with the total electrostatic energy stored in the capacitors a long time after the switch is closed, \(U_{\text{total}}\)?

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