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AP Physics C: E&M
13.6 Circuits with Capacitors and Inductors (LC Circuits)
IntermediateMCQMathematicalConceptual23.7k
A rectangular oscilloscope display with a grid of thin gray coordinate lines forming 8 horizontal divisions and 6 vertical divisions. A horizontal central axis is labeled t at its far right, with vertical tick marks spaced by 1 division, labeled from 0 at the left vertical axis to 6 at the sixth vertical grid line. A vertical central axis is labeled I at its top. A single solid sinusoidal curve begins at the origin (0, 0), passes through a crest at horizontal division 1 with a height of 2 vertical divisions above the central axis, crosses the horizontal axis downward at horizontal division 2, reaches a trough at horizontal division 3 with a depth of 2 vertical divisions below the central axis, crosses the horizontal axis upward at horizontal division 4, reaches a second identical crest at horizontal division 5, and crosses the horizontal axis downward at horizontal division 6. No other labels, lines, text, or axes appear.
Oscilloscope display of current versus time for the oscillating circuit.
An LC circuit consists of an inductor with inductance \(L = 50\text{ mH}\) connected in series with a capacitor of unknown capacitance \(C\). The circuit undergoes undamped oscillations, and the resulting current \(I\) as a function of time \(t\) is displayed on an oscilloscope screen with a horizontal time scale of \(1.0\text{ ms}\) per division, as shown in the graph. Based on the oscilloscope trace, what is the capacitance of the capacitor?

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