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title: "An ideal LC circuit consists of an inductor with self-inductance \\(L\\) connected in series with a capacitor of capacitance \\(C\\). Initially, the switch is open, the capacitor carries a charge \\(Q_0\\), and the current in the circuit is zero. At time \\(t = 0\\), the switch is closed. Which of the following expressions represents the maximum current \\(I_{\\text{max}}\\n\\) in the circuit in terms of \\(Q_0\\), \\(L\\), and \\(C\\)?"
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url: "https://nerd-notes.com/ubq/118685/"
date_modified: "2026-08-04T08:13:45+00:00"
---

# An ideal LC circuit consists of an inductor with self-inductance \(L\) connected in series with a capacitor of capacitance \(C\). Initially, the switch is open, the capacitor carries a charge \(Q_0\), and the current in the circuit is zero. At time \(t = 0\), the switch is closed. Which of the following expressions represents the maximum current \(I_{\text{max}}\n\) in the circuit in terms of \(Q_0\), \(L\), and \(C\)?

An ideal LC circuit consists of an inductor with self-inductance \(L\) connected in series with a capacitor of capacitance \(C\). Initially, the switch is open, the capacitor carries a charge \(Q_0\), and the current in the circuit is zero. At time \(t = 0\), the switch is closed. Which of the following expressions represents the maximum current \(I_{\text{max}}\n\) in the circuit in terms of \(Q_0\), \(L\), and \(C\)?

![A simple single-loop schematic diagram containing a capacitor with capacitance label C on the left branch, an ideal inductor with inductance label L on the right branch, and an open switch on the top wire connecting them. The capacitor plates are horizontal with positive charge +Q_0 indicated on the top plate and -Q_0 on the bottom plate. Arrow for current is not shown since current is initially zero. No other components or labels appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1785831225-oNSRQN.jpg)

- **A.** \( \dfrac{Q_0}{2\pi \sqrt{LC}} \)
- **B.** \( \dfrac{Q_0}{\sqrt{LC}} \)
- **C.** \( \dfrac{\sqrt{2} Q_0}{\sqrt{LC}} \)
- **D.** \( \dfrac{2\pi Q_0}{\sqrt{LC}} \)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/118685/*