Question

Let us assume x (t) = A cos(ωt + φ), What is the final steady state solution for y (t)? (a) A|H(jω)|cos⁡[ωt+Ø+ θ (ω)] (b) A|H(jω)|cos⁡[ωt-Ø+ θ (ω)] (c) A|H(jω)|cos⁡[ωt-Ø- θ (ω)] (d) A|H(jω)|cos⁡[ωt+Ø- θ (ω)] I have been asked this question in quiz. This interesting question is from Transfer Function in section Application of the Laplace Transform in Circuit Analysis 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 choice is (a) A|H(jω)|cos⁡[ωt+Ø+ θ (ω)] The explanation: We obtain the steady state solution for y (t) by taking the inverse transform of Y(s) ignoring the terms generated by the poles of H (s). Thus yss(t) = A|H(jω)|cos⁡[ωt+Ø+ θ (ω)] which indicates how to use the transfer function to find the steady state response of a circuit.