Question

The value of ‘c’ in complementary function of ‘i’ is? (a) c = -V/√(R^2+(ωL)^2) cos⁡(θ+tan^-1(ωL/R)) (b) c = -V/√(R^2+(ωL)^2) cos⁡(θ-tan^-1(ωL/R)) (c) c = V/√(R^2+(ωL)^2) cos⁡(θ+tan^-1(ωL/R)) (d) c = V/√(R^2+(ωL)^2) cos⁡(θ-tan^-1(ωL/R)) The question was asked in final exam. My 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)

Answer 1

Correct option is (b) c = -V/√(R^2+(ωL)^2) cos⁡(θ-tan^-1(ωL/R)) The best I can explain: Since the inductor does not allow sudden changes in currents, at t = 0, i = 0. So, c = -V/√(R^2+(ωL)^2) cos⁡(θ-tan^-1(ωL/R)).