The switch in the circuit has been closed for a long time and is opened at t = 0. (a) Find the circuit differential equation in vc(t) and the initial conditions iL(0) and vc(0). R₂ MM R₁ ww 11=0 VS (1)+1= (b) The circuit parameters are L = 50 H, C = 0.25 μF, R₁ = 10 KQ, R₂ = 20 kn, and vs(t) = 10u(t) V. Use Laplace transforms and MATLAB to solve for vc(t) for t≥ 0. LL(0) 00 vc(1) C
The switch in the circuit has been closed for a long time and is opened at t = 0. (a) Find the circuit differential equation in vc(t) and the initial conditions iL(0) and vc(0). R₂ MM R₁ ww 11=0 VS (1)+1= (b) The circuit parameters are L = 50 H, C = 0.25 μF, R₁ = 10 KQ, R₂ = 20 kn, and vs(t) = 10u(t) V. Use Laplace transforms and MATLAB to solve for vc(t) for t≥ 0. LL(0) 00 vc(1) C
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Related questions
Question
![The switch in the circuit has been closed for a
long time and is opened at t = 0.
(a) Find the circuit differential equation in vc(t)
and the initial conditions iL(0) and vc(0).
R₂ Li(1)
MM00
ww
R₁
Vs(1)+1=0
(b) The circuit parameters are L = 50 H, C = 0.25
μF, R₁ = 10 k0, R₂ = 20 kQ, and vs(t) = 10u(t)
V. Use Laplace transforms and MATLAB to solve for vc(t) for t≥ 0.
vc(1)
C](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc794dfef-280c-48f7-9e60-d833a798c5b7%2F8b5d79d9-5d0d-46a6-8712-611797eb91ce%2Fw4c4jng_processed.png&w=3840&q=75)
Transcribed Image Text:The switch in the circuit has been closed for a
long time and is opened at t = 0.
(a) Find the circuit differential equation in vc(t)
and the initial conditions iL(0) and vc(0).
R₂ Li(1)
MM00
ww
R₁
Vs(1)+1=0
(b) The circuit parameters are L = 50 H, C = 0.25
μF, R₁ = 10 k0, R₂ = 20 kQ, and vs(t) = 10u(t)
V. Use Laplace transforms and MATLAB to solve for vc(t) for t≥ 0.
vc(1)
C
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VIEWStep 4: b. Determine the expression of v_C(t) using Laplace transform.
VIEWStep 5: Determine the expression of v_C(t) using MATLAB.
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