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Problem 2 - After having been in position 1 for a long time, the switch in the circuit below was moved to position 2 at t = 0. Given that Vo=24 V, R₁-30 ks2, R₂=120 kn, R3-60 kn and C= 100 µF determine: a) vc(0-) b) vc(0) c) vc(∞0) d) ve(t) for t≥0 Vol R₁ 2 O R₂5 R3 C ic + :DC

Problem 2 - After having been in position 1 for a long time, the switch in the circuit below was moved to position 2 at t = 0. Given that Vo=24 V, R₁-30 ks2, R₂=120 kn, R3-60 kn and C= 100 µF determine: a) vc(0-) b) vc(0) c) vc(∞0) d) ve(t) for t≥0 Vol R₁ 2 O R₂5 R3 C ic + :DC

Introductory Circuit Analysis (13th Edition)
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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### Problem 2 After having been in position 1 for a long time, the switch in the circuit below was moved to position 2 at \( t = 0 \). Given that: - \( V_0 = 24 \, \text{V} \) - \( R_1 = 30 \, \text{k}\Omega \) - \( R_2 = 120 \, \text{k}\Omega \) - \( R_3 = 60 \, \text{k}\Omega \) - \( C = 100 \, \mu \text{F} \) Determine the following: a) \( v_c(0^-) \) b) \( v_c(0) \) c) \( v_c(\infty) \) d) \( v_c(t) \) for \( t \geq 0 \) #### Circuit Diagram Description: The given circuit contains: - A voltage source \( V_0 \) connected in series with resistor \( R_1 \). - A switch that can be toggled between two positions: Position 1 and Position 2. - In Position 1, the circuit forms a series connection of \( V_0 \), \( R_1 \), and \( R_2 \). - When the switch is toggled to Position 2, the circuit restructures to include \( V_0 \), \( R_1 \), \( R_3 \), a capacitor \( C \), and another resistor \( R_2 \), creating a combination of series and parallel circuits. - \( i_1 \) is the current flowing through \( R_1 \). - \( i_C \) is the current through the capacitor \( C \). - \( v_C \) is the voltage across the capacitor. #### Analysis Steps: 1. **\( v_c(0^-) \)**: The voltage across the capacitor just before the switch changes position (at \( t = 0^- \)). 2. **\( v_c(0) \)**: The voltage across the capacitor immediately after the switch changes position (at \( t = 0 \)). 3. **\( v_c(\infty) \)**: The voltage across the capacitor after a long time has passed since the switch changed position (as \( t \to \infty \)). 4. **\( v_c(t) \) for \( t \geq
Transcribed Image Text:### Problem 2 After having been in position 1 for a long time, the switch in the circuit below was moved to position 2 at \( t = 0 \). Given that: - \( V_0 = 24 \, \text{V} \) - \( R_1 = 30 \, \text{k}\Omega \) - \( R_2 = 120 \, \text{k}\Omega \) - \( R_3 = 60 \, \text{k}\Omega \) - \( C = 100 \, \mu \text{F} \) Determine the following: a) \( v_c(0^-) \) b) \( v_c(0) \) c) \( v_c(\infty) \) d) \( v_c(t) \) for \( t \geq 0 \) #### Circuit Diagram Description: The given circuit contains: - A voltage source \( V_0 \) connected in series with resistor \( R_1 \). - A switch that can be toggled between two positions: Position 1 and Position 2. - In Position 1, the circuit forms a series connection of \( V_0 \), \( R_1 \), and \( R_2 \). - When the switch is toggled to Position 2, the circuit restructures to include \( V_0 \), \( R_1 \), \( R_3 \), a capacitor \( C \), and another resistor \( R_2 \), creating a combination of series and parallel circuits. - \( i_1 \) is the current flowing through \( R_1 \). - \( i_C \) is the current through the capacitor \( C \). - \( v_C \) is the voltage across the capacitor. #### Analysis Steps: 1. **\( v_c(0^-) \)**: The voltage across the capacitor just before the switch changes position (at \( t = 0^- \)). 2. **\( v_c(0) \)**: The voltage across the capacitor immediately after the switch changes position (at \( t = 0 \)). 3. **\( v_c(\infty) \)**: The voltage across the capacitor after a long time has passed since the switch changed position (as \( t \to \infty \)). 4. **\( v_c(t) \) for \( t \geq
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