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AP Physics C: E&M
13.6 Circuits with Capacitors and Inductors (LC Circuits)
AdvancedMCQMathematicalConceptual19.5k
A single rectangular circuit loop oriented with horizontal top and bottom branches and vertical left and right branches. The top horizontal wire contains a parallel-plate capacitor represented by two equal vertical parallel segments separated by a small gap, with the label C directly above the gap. The right vertical wire contains an inductor represented by four semicircular loops forming a coil, with the label L directly to the right of the coil. The bottom and left segments are continuous solid straight lines representing ideal connecting wires. No arrows, meters, switches, or other components appear.
Schematic diagram of the ideal LC circuit.
An ideal LC circuit consists of an inductor of inductance L and a capacitor of capacitance C.

Initially, the capacitor holds a maximum charge Q_max and the current in the circuit is zero.

The circuit oscillates freely, and at a subsequent instant during the first quarter-cycle, the charge on the capacitor is q = (1/2)Q_max.

Which of the following correctly ranks the fractional electric energy U_E / U_tot, the fractional magnetic energy U_B / U_tot, the fractional current I / I_max, and the fractional rate of energy transfer P / P_max at this instant, where P = |dU_E / dt| and P_max is the maximum possible rate of energy transfer in the circuit?

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