Handwrite， more details ### Problem Description:After a long time, the switch \( S_2 \) is opened and the switch \( S_1 \) is closed at \( t = 0 \).1. **Find \( v(0) \).**2. **Find \( v(t) \) for \( t > 0 \).**3. **Find the instantaneous power dissipated by the circuit for all \( t > 0 \).**### Circuit Diagram:- **Components:** - **Voltage Source:** 30 V - **Resistors:** - \( 12 \, \Omega \) connected to the voltage source - Two \( 6 \, \Omega \) resistors in parallel to the \( 100 \, \text{mF} \) capacitor - \( 3 \, \Omega \) resistor in series with the \( 6 \, \Omega \) resistors - **Current Source:** 4 A - **Capacitor:** \( 100 \, \text{mF} \) (Millifarads)- **Switches:** - \( S_1 \): Initially open, closes at \( t = 0 \) - \( S_2 \): Initially closed, opens at \( t = 0 \)- **Connections:** - The \( 30 \, \text{V} \) source is connected to the first \( 12 \, \Omega \) resistor, followed by switch \( S_1 \). - The \( 100 \, \text{mF} \) capacitor is between the two parallel \( 6 \, \Omega \) resistors. - The \( 3 \, \Omega \) resistor connects in series to the \( 4 \, \text{A} \) current source.This setup describes the initial and transient behaviors of a simple RLC circuit as switches alter the circuit configuration at time \( t = 0 \).

In this question we need to find a voltage across capacitor at given time and instantaneous power…

After a long time, the switch S₂ is opened and the switch S₁ is closed at t = 0. Find v(0). 2. Find v(t) for t > 0. 3. Find the instantaneous power dissipated by the circuit for all t> 0. v(t) 30 V 12 Ω S1 mu 6 Ω + 100 mF - 6 Ω S2 . 3 Ω 44 A

After a long time, the switch S₂ is opened and the switch S₁ is closed at t = 0. Find v(0). 2. Find v(t) for t > 0. 3. Find the instantaneous power dissipated by the circuit for all t> 0. v(t) 30 V 12 Ω S1 mu 6 Ω + 100 mF - 6 Ω S2 . 3 Ω 44 A

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Handwrite， more details

### Problem Description:

After a long time, the switch \( S_2 \) is opened and the switch \( S_1 \) is closed at \( t = 0 \).

1. **Find \( v(0) \).**
2. **Find \( v(t) \) for \( t > 0 \).**
3. **Find the instantaneous power dissipated by the circuit for all \( t > 0 \).**

### Circuit Diagram:

- **Components:**
- **Voltage Source:** 30 V
- **Resistors:**
- \( 12 \, \Omega \) connected to the voltage source
- Two \( 6 \, \Omega \) resistors in parallel to the \( 100 \, \text{mF} \) capacitor
- \( 3 \, \Omega \) resistor in series with the \( 6 \, \Omega \) resistors
- **Current Source:** 4 A
- **Capacitor:** \( 100 \, \text{mF} \) (Millifarads)

- **Switches:**
- \( S_1 \): Initially open, closes at \( t = 0 \)
- \( S_2 \): Initially closed, opens at \( t = 0 \)

- **Connections:**
- The \( 30 \, \text{V} \) source is connected to the first \( 12 \, \Omega \) resistor, followed by switch \( S_1 \).
- The \( 100 \, \text{mF} \) capacitor is between the two parallel \( 6 \, \Omega \) resistors.
- The \( 3 \, \Omega \) resistor connects in series to the \( 4 \, \text{A} \) current source.

This setup describes the initial and transient behaviors of a simple RLC circuit as switches alter the circuit configuration at time \( t = 0 \).

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