---
title: "An ideal circuit consists of an inductor of inductance \\(L\\) connected in series with a capacitor of capacitance \\(C\\). At time \\(t = 0\\), the capacitor carries an initial charge \\(Q_0\\) and the current in the circuit is zero. Which of the following graphs best represents the charge \\(q(t)\\) on the capacitor as a function of time \\(t\\)?"
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url: "https://nerd-notes.com/ubq/118769/"
date_modified: "2026-08-04T08:14:30+00:00"
---

# An ideal circuit consists of an inductor of inductance \(L\) connected in series with a capacitor of capacitance \(C\). At time \(t = 0\), the capacitor carries an initial charge \(Q_0\) and the current in the circuit is zero. Which of the following graphs best represents the charge \(q(t)\) on the capacitor as a function of time \(t\)?

An ideal circuit consists of an inductor of inductance \(L\) connected in series with a capacitor of capacitance \(C\). At time \(t = 0\), the capacitor carries an initial charge \(Q_0\) and the current in the circuit is zero. Which of the following graphs best represents the charge \(q(t)\) on the capacitor as a function of time \(t\)?

- **A.** A graph showing sinusoidal oscillation starting at \(q(0) = 0\) and initially increasing.
- **B.** A graph showing sinusoidal oscillation starting at \(q(0) = Q_0\) and initially decreasing.
- **C.** A graph showing monotonic exponential decay from \(q(0) = Q_0\) toward zero.
- **D.** A graph showing monotonic exponential approach from \(q(0) = 0\) toward \(Q_0\).

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/118769/*