---
title: "An ideal LC circuit consists of an inductor of inductance \\(L\\) and a capacitor of capacitance \\(C\\). The capacitor is initially fully charged with charge \\(Q_0\\), and at time \\(t = 0\\), the circuit begins to oscillate with period \\(T\\). At time \\(t = \\dfrac{T}{8}\\), what is the ratio of the electric energy stored in the capacitor to the magnetic energy stored in the inductor, \\(\\dfrac{U_C}{U_L}\\)?"
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url: "https://nerd-notes.com/ubq/121302/"
date_modified: "2026-08-23T04:59:38+00:00"
---

# An ideal LC circuit consists of an inductor of inductance \(L\) and a capacitor of capacitance \(C\). The capacitor is initially fully charged with charge \(Q_0\), and at time \(t = 0\), the circuit begins to oscillate with period \(T\). At time \(t = \dfrac{T}{8}\), what is the ratio of the electric energy stored in the capacitor to the magnetic energy stored in the inductor, \(\dfrac{U_C}{U_L}\)?

An ideal LC circuit consists of an inductor of inductance \(L\) and a capacitor of capacitance \(C\). The capacitor is initially fully charged with charge \(Q_0\), and at time \(t = 0\), the circuit begins to oscillate with period \(T\). At time \(t = \dfrac{T}{8}\), what is the ratio of the electric energy stored in the capacitor to the magnetic energy stored in the inductor, \(\dfrac{U_C}{U_L}\)?

![A schematic of a single closed-loop circuit drawn in grayscale. The top horizontal branch contains a parallel-plate capacitor labeled C. The bottom horizontal branch contains an inductor drawn as a series of four loops labeled L. Straight vertical connecting wires on the left and right complete the rectangular loop. No other labels, lines, text, or components appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1787461177-d5xYFz.jpg)

- **A.** \(\dfrac{1}{4}\)
- **B.** \(\dfrac{1}{2}\)
- **C.** \(\dfrac{1}{\sqrt{2}}\)
- **D.** \(1\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/121302/*