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title: "An ideal LC circuit consists of an inductor of inductance \\(L\\) and a capacitor of capacitance \\(C\\). At time \\(t = 0\\), the capacitor holds an initial charge \\(Q_0\\) and the current in the circuit is zero. The period of oscillation of the charge on the capacitor is \\(T = 2\\pi\\sqrt{LC}\\). Which of the following graphs best represents the electric energy \\(U_E\\) stored in the capacitor, the magnetic energy \\(U_B\\) stored in the inductor, and the total energy \\(U_{\\text{total}}\\) of the circuit as functions of time \\(t\\) over the interval \\(0 \\le t \\le T\\)?"
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url: "https://nerd-notes.com/ubq/121352/"
date_modified: "2026-08-23T04:59:54+00:00"
---

# An ideal LC circuit consists of an inductor of inductance \(L\) and a capacitor of capacitance \(C\). At time \(t = 0\), the capacitor holds an initial charge \(Q_0\) and the current in the circuit is zero. The period of oscillation of the charge on the capacitor is \(T = 2\pi\sqrt{LC}\). Which of the following graphs best represents the electric energy \(U_E\) stored in the capacitor, the magnetic energy \(U_B\) stored in the inductor, and the total energy \(U_{\text{total}}\) of the circuit as functions of time \(t\) over the interval \(0 \le t \le T\)?

An ideal LC circuit consists of an inductor of inductance \(L\) and a capacitor of capacitance \(C\). At time \(t = 0\), the capacitor holds an initial charge \(Q_0\) and the current in the circuit is zero. The period of oscillation of the charge on the capacitor is \(T = 2\pi\sqrt{LC}\). Which of the following graphs best represents the electric energy \(U_E\) stored in the capacitor, the magnetic energy \(U_B\) stored in the inductor, and the total energy \(U_{\text{total}}\) of the circuit as functions of time \(t\) over the interval \(0 \le t \le T\)?

- **A.** Graph A
- **B.** Graph B
- **C.** Graph C
- **D.** Graph D

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/121352/*