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In the circuit shown below, the switch is closed at t = 0, applied voltage is v (t) = 100cos (103t+π/2), resistance R = 20Ω and inductance L = 0.1H. The complementary function of the solution of ‘i’ is? (a) ic = ce^-100t (b) ic = ce^100t (c) ic = ce^-200t (d) ic = ce^200t I have been asked this question in my homework. Question is from Sinusoidal Response of an R-L Circuit topic in chapter Transients of Network Theory Select the correct answer from above options network theory questions and answers, network theory questions pdf, network theory question bank, network theory gate questions and answers pdf, mcq on network theory pdf, gate network theory questions and solutions, network theory mcq Test , ies network theory questions, Network theory Questions for GATE EC Exam, Network Theory MCQ (Multiple Choice Questions)

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Right option is (c) ic = ce^-200t For explanation: By applying Kirchhoff’s voltage law to the circuit, we have 20i+0.1di/dt=100cos⁡(10^3 t+π/2) => (D+200)i=1000cos⁡(1000t+π/2). The complementary function is ic = ce^-200t.

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