Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Q3. "Consider the following series RLC circuit given in Figure 1. Figure 1 a. Write down the differential equation of the above circuit. (The capacitor voltage vc is investigated). Then, obtain a first order differential equation system. b. Solve the ODE by the second-order Runge-Kutta method. Use the following component values and initial conditions. R=102, L = 1mH,C = 2µF,v¿(0) = 6 and v (0) = 10 LC Compare the exact solution and numerical solution. c. Solve the ODE by using (ODE 45), plot capacitor voltage vc in MATLAB. (Matlab files should be submitted.)
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Transcribed Image Text:Q3. "Consider the following series RLC circuit given in Figure 1. Figure 1 a. Write down the differential equation of the above circuit. (The capacitor voltage vc is investigated). Then, obtain a first order differential equation system. b. Solve the ODE by the second-order Runge-Kutta method. Use the following component values and initial conditions. R=102, L = 1mH,C = 2µF,v¿(0) = 6 and v (0) = 10 LC Compare the exact solution and numerical solution. c. Solve the ODE by using (ODE 45), plot capacitor voltage vc in MATLAB. (Matlab files should be submitted.)
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