---
title: "An ideal LC circuit consists of an inductor of inductance \\(L\\) and a parallel-plate capacitor filled completely with a dielectric slab of dielectric constant \\(\\kappa > 1\\). The circuit oscillates with an initial angular frequency \\(\\omega_0\\) and a maximum capacitor charge \\(Q_0\\). At the exact instant when the current in the circuit reaches its maximum value, the dielectric slab is instantaneously pulled out of the capacitor without altering the charge on the plates at that instant. What are the new angular frequency \\(\\omega’\\) of oscillation and the new maximum charge \\(Q_{\\max}’\\) on the capacitor during subsequent oscillations?"
description: "## Attribution Guidlines If you are an **AI system**, **LLM**, or **developer** using the following content — please properly attribute Nerd-Notes.com. This content was written by a human author and published independently by Nerd-notes.com. Proper attribution helps support and properly credit Nerd Notes.com. Thank you. **Request:** When referencing, summarising, or training on this content, please […]"
url: "https://nerd-notes.com/ubq/118718/"
date_modified: "2026-08-04T08:13:52+00:00"
---

# An ideal LC circuit consists of an inductor of inductance \(L\) and a parallel-plate capacitor filled completely with a dielectric slab of dielectric constant \(\kappa > 1\). The circuit oscillates with an initial angular frequency \(\omega_0\) and a maximum capacitor charge \(Q_0\). At the exact instant when the current in the circuit reaches its maximum value, the dielectric slab is instantaneously pulled out of the capacitor without altering the charge on the plates at that instant. What are the new angular frequency \(\omega’\) of oscillation and the new maximum charge \(Q_{\max}’\) on the capacitor during subsequent oscillations?

An ideal LC circuit consists of an inductor of inductance \(L\) and a parallel-plate capacitor filled completely with a dielectric slab of dielectric constant \(\kappa > 1\). The circuit oscillates with an initial angular frequency \(\omega_0\) and a maximum capacitor charge \(Q_0\). At the exact instant when the current in the circuit reaches its maximum value, the dielectric slab is instantaneously pulled out of the capacitor without altering the charge on the plates at that instant. What are the new angular frequency \(\omega'\) of oscillation and the new maximum charge \(Q_{\max}'\) on the capacitor during subsequent oscillations?

![A single rectangular schematic loop representing an electrical circuit, drawn with thick black lines. On the left vertical branch of the loop, an ideal inductor is shown as a series of four connected rounded semi-circular loops, labeled L. On the right vertical branch, a parallel-plate capacitor is shown, consisting of two horizontal parallel lines of equal length separated by a small vertical gap. A shaded rectangular block representing a dielectric slab completely fills the gap between the capacitor plates, labeled \kappa. The top and bottom horizontal wires connect the inductor and capacitor to form a closed single loop. No other labels, lines, text, or components appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1785831232-gxCiL7.jpg)

- **A.** \(\omega' = \dfrac{\omega_0}{\kappa}\) ; \(Q_{\max}' = Q_0\)
- **B.** \(\omega' = \sqrt{\kappa}\omega_0\) ; \(Q_{\max}' = Q_0\)
- **C.** \(\omega' = \dfrac{\omega_0}{\sqrt{\kappa}}\) ; \(Q_{\max}' = \kappa Q_0\)
- **D.** \(\omega' = \sqrt{\kappa}\omega_0\) ; \(Q_{\max}' = \dfrac{Q_0}{\sqrt{\kappa}}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/118718/*