Question

The complete solution of the current in the sinusoidal response of R-C circuit is? (a) i = e^-t/RC[V/R cosθ+V/√(R^2+(1/(ωC))^2) cos⁡(θ+tan^-1(1/ωRC))+V/√(R^2+(1/ωC)^2) cos⁡(ωt+θ+tan^-1(1/ωRC)] (b) i = e^-t/RC[V/R cosθ-V/√(R^2+(1/ωC)^2) cos⁡(θ+tan^-1(1/ωRC))-V/√(R^2+(1/ωC)^2) cos⁡(ωt+θ+tan^-1(1/ωRC)] (c) i = e^-t/RC[V/R cosθ+V/√(R^2+(1/ωC)^2) cos⁡(θ+tan^-1(1/ωRC))-V/√(R^2+(1/ωC)^2) cos⁡(ωt+θ+tan^-1(1/ωRC)] (d) i = e^-t/RC[V/R cosθ-V/√(R^2+(1/(ωC))^2) cos⁡(θ+tan^-1(1/ωRC))+V/√(R^2+(1/ωC)^2) cos⁡(ωt+θ+tan^-1(1/ωRC)] I have been asked this question in unit test. I need to ask this question 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

Right option is (d) i = e^-t/RC[V/R cosθ-V/√(R^2+(1/(ωC))^2) cos⁡(θ+tan^-1(1/ωRC))+V/√(R^2+(1/ωC)^2) cos⁡(ωt+θ+tan^-1(1/ωRC)] Explanation: The complete solution for the current becomes i = e^-t/RC[V/R cosθ-V/√(R^2+(1/(ωC))^2) cos⁡(θ+tan^-1(1/ωRC))+V/√(R^2+(1/ωC)^2) cos⁡(ωt+θ+tan^-1(1/ωRC)).