Question

In the circuit shown below, the switch is closed at t = 0, applied voltage is v (t) = 50cos (102t+π/4), resistance R = 10Ω and capacitance C = 1µF. The value of c in the complementary function of ‘i’ is? (a) c = (3.53-4.99×10^-3) cos⁡(π/4+89.94^o) (b) c = (3.53+4.99×10^-3) cos⁡(π/4+89.94^o) (c) c = (3.53+4.99×10^-3) cos⁡(π/4-89.94^o) (d) c = (3.53-4.99×10^-3) cos⁡(π/4-89.94^o) I had been asked this question in a national level competition. My question comes from Sinusoidal Response of an R-C Circuit 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

Correct option is (a) c = (3.53-4.99×10^-3) cos⁡(π/4+89.94^o) Easiest explanation: At t = 0, the current flowing through the circuit is 3.53A. So, c = (3.53-4.99×10^-3) cos⁡(π/4+89.94^o).