Question

The value of ‘c’ in complementary function of ‘i’ is? (a) c = V/R cosθ+V/√(R^2+(1/(ωC))^2) cos⁡(θ+tan^-1(1/ωRC)) (b) c = V/R cosθ+V/√(R^2+(1/(ωC))^2) cos⁡(θ-tan^-1(1/ωRC)) (c) c = V/R cosθ-V/√(R^2+(1/(ωC))^2) cos⁡(θ-tan^-1(1/ωRC)) (d) c = V/R cosθ-V/√(R^2+(1/(ωC))^2) cos⁡(θ+tan^-1(1/ωRC)) I got this question by my college director while I was bunking the class. My question is from Sinusoidal Response of an R-C Circuit topic in section 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

The correct choice is (d) c = V/R cosθ-V/√(R^2+(1/(ωC))^2) cos⁡(θ+tan^-1(1/ωRC)) The best I can explain: Since the capacitor does not allow sudden changes in voltages, at t = 0, i = V/R cosθ. So, c = V/R cosθ-V/√(R^2+(1/(ωC))^2) cos⁡(θ+tan^-1(1/ωRC)).