**LC Circuit Analysis****Problem Statement:**An LC circuit with a 3.0 µF (microfarad) capacitor and a 3.0 H (henry) inductor has a current described by the function \( i(t) = 10.0 \sin(2.0t) \) flowing in it. After 2 seconds, how much charge is stored on a plate of the capacitor?**Explanation:**- **Components:** - Capacitor: 3.0 µF - Inductor: 3.0 H- **Current Function:** - \( i(t) = 10.0 \sin(2.0t) \), where \( i(t) \) is the current at time \( t \).- **Goal:** - Find the charge stored on a plate of the capacitor at \( t = 2 \) seconds.To solve this problem, integrate the current function over time to find the charge \( q(t) \), since \( q(t) = \int i(t) \, dt \).

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Answered: An LC circuit with a 3.0 µF capacitor…

An LC circuit with a 3.0 µF capacitor and a 3.0 H inductor has a current Ne) = 10.0 sin(2.00) flowing in it. After 2 s, how much charge is stored on a plate of the сараcitor?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

**LC Circuit Analysis**

**Problem Statement:**

An LC circuit with a 3.0 µF (microfarad) capacitor and a 3.0 H (henry) inductor has a current described by the function \( i(t) = 10.0 \sin(2.0t) \) flowing in it. After 2 seconds, how much charge is stored on a plate of the capacitor?

**Explanation:**

- **Components:**
- Capacitor: 3.0 µF
- Inductor: 3.0 H

- **Current Function:**
- \( i(t) = 10.0 \sin(2.0t) \), where \( i(t) \) is the current at time \( t \).

- **Goal:**
- Find the charge stored on a plate of the capacitor at \( t = 2 \) seconds.

To solve this problem, integrate the current function over time to find the charge \( q(t) \), since \( q(t) = \int i(t) \, dt \).

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