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3. In the following circuit, switch 1 has been closed for a long time before it is opened at t = 0, and switch 2 has been opened for a long time before it is closed at t = 0. 6 V R₁ www 0.50 Xt=0 SW₁ i(t) 102 L 0.5 H v(t): с 0.5 F SW₂ a R₂ 20 A a. Find the initial voltage v(0)= Vo across the capacitor and initial current through the inductor i(0) = lo at t = 0. b. Find the second-order differential equation in i(t) and find the roots of the characteristic equation. c. Find i(t) for t≥ 0.

3. In the following circuit, switch 1 has been closed for a long time before it is opened at t = 0, and switch 2 has been opened for a long time before it is closed at t = 0. 6 V R₁ www 0.50 Xt=0 SW₁ i(t) 102 L 0.5 H v(t): с 0.5 F SW₂ a R₂ 20 A a. Find the initial voltage v(0)= Vo across the capacitor and initial current through the inductor i(0) = lo at t = 0. b. Find the second-order differential equation in i(t) and find the roots of the characteristic equation. c. Find i(t) for t≥ 0.

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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3. In the following circuit, switch 1 has been closed for a long time before it is opened at t = 0, and switch 2 has been opened for a long time before it is closed at t = 0. 6 V R₁ www 0.50 Xt=0 SW₁ i(t) 102 L 0.5 H v(t): с 0.5 F SW₂ a R₂ 20 A a. Find the initial voltage v(0)= Vo across the capacitor and initial current through the inductor i(0) = lo at t = 0. b. Find the second-order differential equation in i(t) and find the roots of the characteristic equation. c. Find i(t) for t≥ 0.
Transcribed Image Text:3. In the following circuit, switch 1 has been closed for a long time before it is opened at t = 0, and switch 2 has been opened for a long time before it is closed at t = 0. 6 V R₁ www 0.50 Xt=0 SW₁ i(t) 102 L 0.5 H v(t): с 0.5 F SW₂ a R₂ 20 A a. Find the initial voltage v(0)= Vo across the capacitor and initial current through the inductor i(0) = lo at t = 0. b. Find the second-order differential equation in i(t) and find the roots of the characteristic equation. c. Find i(t) for t≥ 0.
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