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AP Physics C: E&M
13.6 Circuits with Capacitors and Inductors (LC Circuits)
IntermediateMCQMathematicalProportional Analysis17k
Schematic diagram of an ideal LC circuit.
Schematic diagram of an ideal LC circuit.
An ideal \(LC\) circuit consists of an inductor of inductance \(L\) and a parallel-plate capacitor of capacitance \(C\) with horizontal plates of area \(A\). At time \(t = 0\), the top plate has charge \(+Q_0\), the bottom plate has charge \(-Q_0\), and the current in the circuit is zero. The angular frequency of oscillation is \(\omega = \dfrac{1}{\sqrt{LC}}\), and the maximum magnitude of the electric field between the capacitor plates is \(E_{\text{max}} = \dfrac{Q_0}{A\varepsilon_0}\). At time \(t = \dfrac{\pi}{3\omega}\), which of the following correctly identifies the magnitude \(E\) of the electric field between the plates and whether the magnitude of the field is increasing or decreasing?

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