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The particular current obtained from the solution of i in the sinusoidal response of R-L circuit is? (a) ip = V/√(R^2+(ωL)^2) cos⁡(ωt+θ+tan^-1(ωL/R)) (b) ip = V/√(R^2+(ωL)^2) cos⁡(ωt+θ-tan^-1(ωL/R)) (c) ip = V/√(R^2+(ωL)^2) cos⁡(ωt-θ+tan^-1(ωL/R)) (d) ip = V/√(R^2+(ωL)^2) cos⁡(ωt-θ+tan^-1(ωL/R)) The question was posed to me in examination. This key 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 answer is (b) ip = V/√(R^2+(ωL)^2) cos⁡(ωt+θ-tan^-1(ωL/R)) For explanation I would say: The characteristic equation consists of two parts, viz. complementary function and particular integral. The particular integral is ip = V/√(R^2+(ωL)^2) cos⁡(ωt+θ-tan^-1(ωL/R)).

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