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title: "An ideal LC circuit consists of an inductor with constant inductance \\(L\\) and an air-filled parallel-plate capacitor with plate area \\(A\\) and initial plate separation \\(d\\). The circuit oscillates with period \\(T_1\\). The plate separation is then increased to \\(4d\\) while keeping all other physical parameters of the circuit constant. What is the new period of oscillation \\(T_2\\) in terms of \\(T_1\\)?"
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url: "https://nerd-notes.com/ubq/118630/"
date_modified: "2026-08-04T08:13:15+00:00"
---

# An ideal LC circuit consists of an inductor with constant inductance \(L\) and an air-filled parallel-plate capacitor with plate area \(A\) and initial plate separation \(d\). The circuit oscillates with period \(T_1\). The plate separation is then increased to \(4d\) while keeping all other physical parameters of the circuit constant. What is the new period of oscillation \(T_2\) in terms of \(T_1\)?

An ideal LC circuit consists of an inductor with constant inductance \(L\) and an air-filled parallel-plate capacitor with plate area \(A\) and initial plate separation \(d\). The circuit oscillates with period \(T_1\). The plate separation is then increased to \(4d\) while keeping all other physical parameters of the circuit constant. What is the new period of oscillation \(T_2\) in terms of \(T_1\)?

- **A.** \(\dfrac{1}{2} T_1\)
- **B.** \(\dfrac{1}{4} T_1\)
- **C.** \(2 T_1\)
- **D.** \(4 T_1\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/118630/*