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AP Physics C: E&M
11.8 Resistor Capacitor (RC) Circuits
11.6 Kirchhoff’s Loop Rule
AdvancedMCQGraphicalMathematical19k
A circuit schematic showing a single loop. An alternating square-wave source labeled \(\varepsilon(t)\) is on the left branch. Connected in series on the top branch is a resistor labeled \(R\), followed by a capacitor labeled \(C\) on the right branch. Beside the circuit is an inset graph of source voltage \(\varepsilon\) versus time \(t\) showing a rectangular pulse that equals \(+V_0\) from \(t=0\) to \(t=T/2\) and drops to \(0\) from \(t=T/2\) to \(t=T\). No other labels, lines, text, or axes appear.
Series RC circuit driven by a periodic square-wave source.
An uncharged capacitor of capacitance \(C\) and a resistor of resistance \(R\) are connected in series with a periodic voltage source \(\varepsilon(t)\). The source voltage alternates between \(+V_0\) and \(0\) with period \(T\), where the half-period is much greater than the circuit time constant (\(T/2 \gg RC\)), such that \(\varepsilon(t) = +V_0\) for \(0 \le t < T/2\) and \(\varepsilon(t) = 0\) for \(T/2 \le t < T\). Which of the following graphs best represents the potential difference across the resistor, \(V_R(t)\), as a function of time over one full period \(0 \le t \le T\)?

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