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Fig. 2 shows a series RLC cir

Fig. 2 shows a series RLC cir

Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter24: Resistive-inductive-capacitive Parallel Circuits
Section: Chapter Questions
Problem 1RQ: An AC circuit contains a 24 resistor, a 15.9-mH inductor, and a 13.3F capacitor connected in...
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Fig. 2 shows a series RLC circuit. R V (t) i (t). oooo L Fig. 2: Series RLC Circuit By applying Kirchhoff's voltage law, we obtain the second order differential equation: C d²i di i dv L- +R- + dt² dt C dt where L is the inductance, R is the resistance and C is the capacitance. If L = 1 × 10-³ H, R = 200 2, and C = 1 x 10-6 F. Answer the following questions: (2-b) Use Laplace Transform to solve the same non-homogeneous differential equation from part (2-b). Assume zero initial conditions, and compare your results here with the particular solution obtained in (2-b).
Transcribed Image Text:Fig. 2 shows a series RLC circuit. R V (t) i (t). oooo L Fig. 2: Series RLC Circuit By applying Kirchhoff's voltage law, we obtain the second order differential equation: C d²i di i dv L- +R- + dt² dt C dt where L is the inductance, R is the resistance and C is the capacitance. If L = 1 × 10-³ H, R = 200 2, and C = 1 x 10-6 F. Answer the following questions: (2-b) Use Laplace Transform to solve the same non-homogeneous differential equation from part (2-b). Assume zero initial conditions, and compare your results here with the particular solution obtained in (2-b).
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