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AP Physics C: E&M
11.8 Resistor Capacitor (RC) Circuits
AdvancedMCQGraphicalConceptual21.8k
A single-loop rectangular circuit diagram drawn in black and white. On the left vertical branch is a DC voltage source labeled \(\mathcal{E}\), with the longer horizontal bar on top indicating the positive terminal and the shorter bar on the bottom indicating the negative terminal. The top horizontal wire contains a standard zig-zag resistor labeled \(R\). The right vertical branch contains a parallel-plate capacitor consisting of two identical, parallel vertical line segments of equal height. The left plate is fixed in position. The right plate has a single horizontal arrow pointing to the right labeled \(v\), indicating motion away from the left plate. A double-headed horizontal dimension arrow between the two plates is labeled \(x(t)\). Straight conducting wire segments connect the components to form a closed rectangular loop. No other labels, lines, text, or axes appear.
Circuit with a battery, resistor, and separating capacitor plates.
A parallel-plate capacitor with plate area \(A\) and initial plate separation \(x_0\) is connected in series with an ideal battery of potential difference \(\mathcal{E}\) and a resistor of resistance \(R\). The system has been connected for a long time so that the capacitor is fully charged. Beginning at time \(t = 0\), an external mechanism pulls one plate away from the other at a constant speed \(v\), increasing the plate separation according to \(x(t) = x_0 + vt\). Which of the following best describes the shape of the graph of the current \(I(t)\) through the resistor as a function of time \(t\) for \(t \ge 0\)?

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