---
title: "An ideal \\(LC\\) circuit consists of an inductor of inductance \\(L = 2.0\\text{ mH}\\) connected in a closed loop with a capacitor of capacitance \\(C = 5.0\\text{ }\\mu\\text{F}\\). The capacitor is initially charged, and the circuit oscillates freely with no resistance. What is the angular frequency of the oscillations in the circuit?"
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url: "https://nerd-notes.com/ubq/121301/"
date_modified: "2026-08-23T04:59:38+00:00"
---

# An ideal \(LC\) circuit consists of an inductor of inductance \(L = 2.0\text{ mH}\) connected in a closed loop with a capacitor of capacitance \(C = 5.0\text{ }\mu\text{F}\). The capacitor is initially charged, and the circuit oscillates freely with no resistance. What is the angular frequency of the oscillations in the circuit?

An ideal \(LC\) circuit consists of an inductor of inductance \(L = 2.0\text{ mH}\) connected in a closed loop with a capacitor of capacitance \(C = 5.0\text{ }\mu\text{F}\). The capacitor is initially charged, and the circuit oscillates freely with no resistance. What is the angular frequency of the oscillations in the circuit?

![A single rectangular schematic circuit loop with no battery. The left vertical branch contains a parallel-plate capacitor labeled C. The right vertical branch contains an inductor drawn as a series of four loops labeled L. Top and bottom horizontal wires connect the two components into a single continuous loop. No other labels, lines, text, or circuit elements appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1787461177-jHmxJ4.jpg)

- **A.** \(1.6 \times 10^3\text{ rad/s}\)
- **B.** \(1.0 \times 10^4\text{ rad/s}\)
- **C.** \(6.3 \times 10^4\text{ rad/s}\)
- **D.** \(1.0 \times 10^8\text{ rad/s}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/121301/*