(a) In an RLC series circuit as shown in Figure 2, R = 40 Q, L = 1 H, C = 16 x 104F, and the voltage source is E (t) = 100 cos 10t V. Determine the current i(t) in the circuit using the undetermined coefficients if at the initial time i(0) = 0, and q (0) = 0 C. Hint: Note that R d²q switch dq, 1 +R + dt² dt E (t) E and dq C Figure 2 (b) If R = 130 Q2, verify your answer for the current i(t) in part (a) using Laplace Transforms is 1 168 416 i(t) 3125 e 125t 3774 e sin 10t + cos 10t 629 629 Hint: Use partial fractions to simplify Q(s). -St 59
(a) In an RLC series circuit as shown in Figure 2, R = 40 Q, L = 1 H, C = 16 x 104F, and the voltage source is E (t) = 100 cos 10t V. Determine the current i(t) in the circuit using the undetermined coefficients if at the initial time i(0) = 0, and q (0) = 0 C. Hint: Note that R d²q switch dq, 1 +R + dt² dt E (t) E and dq C Figure 2 (b) If R = 130 Q2, verify your answer for the current i(t) in part (a) using Laplace Transforms is 1 168 416 i(t) 3125 e 125t 3774 e sin 10t + cos 10t 629 629 Hint: Use partial fractions to simplify Q(s). -St 59
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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