(a)In an RLC series circuit as shown in Figure 2, R = 40 Q, L = 1 H, C = 16 x 10* F, 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 ume i(0) = 0, and q (0) = 0C.Hint: Note thatRswitchd²q dq 1+R +E (t)1dt²Ldt 79 =anddqCi =dtFigure 2(b)If R = 130 0, verify your answer for the current i(t) in part (a) using LaplaceTransforms is31251i(t) =-e-125t +-e-5t168629-sin 10t +416629cos 10t3774Hint: Use partial fractions to simplify Q (s).

Answered: Image /qna-images/answer/3b17f8ff-17ba-400d-a7c6-25b2eb5d4f9e.jpg

(a) In an RLC series circuit as shown in Figure 2, R = 40 Q, L= 1 H, C = 16 x 10* F, 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 ume i(0) = 0, and q (0) = 0 C.

(a) In an RLC series circuit as shown in Figure 2, R = 40 Q, L= 1 H, C = 16 x 10* F, 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 ume i(0) = 0, and q (0) = 0 C.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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