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AP Physics 2
11.8 Resistor-Capacitor (RC) Circuits
11.4 Electric Power
AdvancedMCQMathematicalProportional AnalysisConceptual21k
A simple series RC circuit schematic. On the left vertical wire is an ideal DC battery labeled \(\mathcal{E}\) with its long positive terminal on top. On the top horizontal wire is an open switch labeled S. On the right vertical wire is a resistor labeled R. On the bottom horizontal wire is a parallel-plate capacitor labeled C_0. The components form a single closed loop when switch S is closed. Clear lines represent wires with no extra labels, text, or construction elements.
Series RC circuit schematic.
In Experiment 1, a circuit consisting of an ideal battery of electromotive force \(\mathcal{E}\), an open switch, a resistor of resistance \(R\), and an uncharged capacitor of capacitance \(C_0\) connected in series has its switch closed at time \(t = 0\). The capacitor becomes fully charged after a long time. In Experiment 2, the uncharged capacitor is replaced with one of capacitance \(2C_0\), while the battery and resistor remain unchanged, and the switch is again closed at \(t = 0\).

ChoiceInitial Current \(I_0\)Total Resistor Thermal Energy \(E_R\)
(A)DoubledDoubled
(B)UnchangedDoubled
(C)UnchangedUnchanged
(D)HalvedUnchanged

Which row in the table correctly compares the initial current \(I_0\) supplied by the battery immediately after the switch is closed and the total thermal energy \(E_R\) dissipated by the resistor during the complete charging process in Experiment 2 to those in Experiment 1?

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