Given the circuit below with the switch closed for a long time, then opening at t=0, and with the values R1=193KΩ, R2=186KΩ, R3=107KΩ, calculate the capacitor voltage at t =0. **Problem Description:**Given the circuit below with the switch closed for a long time, then opening at \( t = 0 \), and with the values \( R_1 = 193 \, \text{K}\Omega \), \( R_2 = 186 \, \text{K}\Omega \), \( R_3 = 107 \, \text{K}\Omega \), calculate the capacitor voltage at \( t = 0 \).---**Circuit Description:**- The circuit consists of three resistors \( R_1, R_2, \) and \( R_3 \), a capacitor of \( 1\mu F \), a 40V voltage source, a dependent voltage source \( \frac{v_c}{4} \), and a switch.- The dependent voltage source, \( \frac{v_c}{4} \), is connected in series with \( R_1 \) and \( R_2 \).- The capacitor with capacitance \( 1\mu F \) is initially charged and is connected parallel to \( R_2 \).- \( R_3 \) is connected in series with the switch and the 40V voltage source.**Operation:**- Before \( t = 0 \), the switch has been closed for a long time, allowing the capacitor to reach a steady state.- At \( t = 0 \), the switch is opened, starting the discharge of the capacitor through the resistors.To solve for the capacitor voltage at \( t = 0 \), consider the steady state conditions just before the switch opens. At this point, the capacitor is fully charged, and the circuit components share voltage and current according to their configuration. Analyze the circuit using appropriate circuit theory principles, such as Kirchhoff’s laws, Ohm’s law, and capacitor charging equations.

The question is based on the transient in networks. It uses the following concepts - The voltage…

Given the circuit below with the switch closed for a long time, then opening at t=0, and with the values R₁=193KM2, R₂=186KS, R3-107KS, calculate the capacitor voltage at t =0. Vc 4 R₁ www R₂ 1μF R3 mim + Vc t=0 of 40υ (+1

Given the circuit below with the switch closed for a long time, then opening at t=0, and with the values R₁=193KM2, R₂=186KS, R3-107KS, calculate the capacitor voltage at t =0. Vc 4 R₁ www R₂ 1μF R3 mim + Vc t=0 of 40υ (+1

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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