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AP Physics 2
11.8 Resistor-Capacitor (RC) Circuits
11.6 Kirchhoff’s Loop Rule
11.5 Compound Direct Current (DC) Circuits
AdvancedMCQMathematicalConceptual13.9k
A schematic diagram of a DC circuit. On the far left, a vertical branch contains an ideal battery of electromotive force \(\varepsilon\), with the longer positive plate on top and the shorter negative plate on the bottom. From the top of the battery, a horizontal wire extends rightward to a series resistor labeled \(R_1\), followed by a switch labeled \(S\). To the right of the switch, the circuit splits at an upper junction into two parallel vertical branches. The left parallel branch contains a single resistor labeled \(R_3\). The right parallel branch contains a resistor labeled \(R_2\) in series with and positioned above a capacitor labeled \(C\), represented by two equal-length parallel horizontal plates. The bottom ends of both parallel branches rejoin at a lower junction and connect back to the bottom terminal of the battery via a horizontal wire. No other labels, lines, text, or axes appear.
Schematic of the circuit containing resistors, a capacitor, and an ideal battery.
The circuit shown consists of an ideal battery of electromotive force \(\varepsilon\), three resistors of resistances \(R_1\), \(R_2\), and \(R_3\), an initially uncharged capacitor of capacitance \(C\), and a switch \(S\). At time \(t = 0\), switch \(S\) is closed. After the circuit reaches a steady state, which of the following expressions is equal to the total electric energy stored in the capacitor?

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