(a)In an RLC series circuit as shown in Figure 2, R = 40 Q, L = 1 H, C = 16 x 104F, andthe voltage source is E (t) = 100 cos 10t V.Determine the current i(t) in the circuit using the undetermined coefficients if at theinitial time i(0) = 0, and q (0) = 0 C.Hint: Note thatRd²q dq, 1switch+R +dt² dtC9=E(t)EanddqCFigure 2(b)If R = 130 Q2, verify your answer for the current i(t) in part (a) using LaplaceTransforms is168416i(t)31253774e ¹25te-St-sin 10t +cos 10t629629Hint: Use partial fractions to simplify Q(s).+166

Answered: Image /qna-images/answer/a6499893-2813-4b13-ab19-a07ac4f0a056.jpg

(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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