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title: "An ideal LC circuit consists of an inductor with self-inductance \\(L\\) and a capacitor with capacitance \\(C\\). At time \\(t = 0\\), the charge on the capacitor is \\(Q_0\\) and a nonzero current \\(I_0\\) flows through the inductor. In terms of \\(Q_0\\), \\(I_0\\), \\(L\\), and \\(C\\), which of the following expressions represents the maximum charge \\(Q_{\\text{max}}\\) that accumulates on the capacitor during the subsequent oscillations?"
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url: "https://nerd-notes.com/ubq/121341/"
date_modified: "2026-08-23T04:59:48+00:00"
---

# An ideal LC circuit consists of an inductor with self-inductance \(L\) and a capacitor with capacitance \(C\). At time \(t = 0\), the charge on the capacitor is \(Q_0\) and a nonzero current \(I_0\) flows through the inductor. In terms of \(Q_0\), \(I_0\), \(L\), and \(C\), which of the following expressions represents the maximum charge \(Q_{\text{max}}\) that accumulates on the capacitor during the subsequent oscillations?

An ideal LC circuit consists of an inductor with self-inductance \(L\) and a capacitor with capacitance \(C\). At time \(t = 0\), the charge on the capacitor is \(Q_0\) and a nonzero current \(I_0\) flows through the inductor. In terms of \(Q_0\), \(I_0\), \(L\), and \(C\), which of the following expressions represents the maximum charge \(Q_{\text{max}}\) that accumulates on the capacitor during the subsequent oscillations?

![A single closed rectangular circuit schematic in grayscale. The top horizontal wire contains a parallel-plate capacitor labeled C, with a charge +Q_0 indicated near its left plate and -Q_0 near its right plate. The right vertical wire contains an inductor coil labeled L. An arrow along the top right wire labeled I_0 points clockwise toward the inductor. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1787461188-oKToUO.jpg)

- **A.** \( Q_0 + \sqrt{LC}\,I_0 \)
- **B.** \( \sqrt{Q_0^2 + \dfrac{1}{2}LC I_0^2} \)
- **C.** \( \sqrt{Q_0^2 + LC I_0^2} \)
- **D.** \( \sqrt{Q_0^2 + 2LC I_0^2} \)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/121341/*