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1. The switch in the circuit shown in the following figure has been in position 'B' for a long time. At t = 0, it moves to position 'A'. Using differential equation, find Vc (t) for t ≥ 0. a. Write a differential equation in vc(t). b. Find a and wo- c. Find the characteristic equation and the roots of the characteristic equation. d. Find the final value of voltage v.(t) cross the capacitor. e. Find voltage v.(t) cross the capacitor for t > 0 and sketch it. Solution: 60V 5mH 800 ww t = 0 2 μF B + Vc(t) 15 k 9 KQ ww 40V

1. The switch in the circuit shown in the following figure has been in position 'B' for a long time. At t = 0, it moves to position 'A'. Using differential equation, find Vc (t) for t ≥ 0. a. Write a differential equation in vc(t). b. Find a and wo- c. Find the characteristic equation and the roots of the characteristic equation. d. Find the final value of voltage v.(t) cross the capacitor. e. Find voltage v.(t) cross the capacitor for t > 0 and sketch it. Solution: 60V 5mH 800 ww t = 0 2 μF B + Vc(t) 15 k 9 KQ ww 40V

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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1. The switch in the circuit shown in the following figure has been in position 'B' for a long time. At t = 0, it moves to position 'A'. Using differential equation, find Vc (t) for t ≥ 0. a. Write a differential equation in vc(t). b. Find a and wo. c. Find the characteristic equation and the roots of the characteristic equation. d. Find the final value of voltage ve(t) cross the capacitor. e. Find voltage v.(t) cross the capacitor for t≥ 0 and sketch it. Solution: 60V 5 mH 80 Ω www A t = 0 2 μF B + Vc(t) in 15 ΚΩ 9 ΚΩ ww 40V
Transcribed Image Text:1. The switch in the circuit shown in the following figure has been in position 'B' for a long time. At t = 0, it moves to position 'A'. Using differential equation, find Vc (t) for t ≥ 0. a. Write a differential equation in vc(t). b. Find a and wo. c. Find the characteristic equation and the roots of the characteristic equation. d. Find the final value of voltage ve(t) cross the capacitor. e. Find voltage v.(t) cross the capacitor for t≥ 0 and sketch it. Solution: 60V 5 mH 80 Ω www A t = 0 2 μF B + Vc(t) in 15 ΚΩ 9 ΚΩ ww 40V
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