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AP Physics C: E&M
11.8 Resistor Capacitor (RC) Circuits
11.6 Kirchhoff’s Loop Rule
AdvancedMCQMathematical21.4k
A single closed rectangular circuit loop. On the left vertical branch is an ideal DC battery labeled \mathcal{E} with its long positive terminal line on top. On the top horizontal branch is an open switch labeled S and a resistor labeled R. On the right vertical branch are two capacitors connected in series, the upper one labeled C_1 and the lower one labeled C_2. Straight wires connect all components into a single series loop. No other labels, text, or components appear.
Circuit with a battery, resistor, switch, and two capacitors in series.
A circuit consists of an ideal battery of electromotive force \(\mathcal{E}\), a resistor of resistance \(R\), two initially uncharged capacitors of capacitances \(C_1\) and \(C_2\), and an open switch, all connected in series. At time \(t = 0\), the switch is closed. Which of the following expressions represents the potential difference \(V_1(t)\) across capacitor \(C_1\) as a function of time \(t\)?

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