Question

Let us assume x (t) = A cos(ωt + φ), what is the s-domain expression? (a) Y(s)=H(s) A(Scos Ø-ω sinØ)/(S^2-ω^2) (b) Y(s)=H(s) A(Scos Ø+ω sinØ)/(S^2+ω^2) (c) Y(s)=H(s) A(Scos Ø-ω sinØ)/(S^2+ω^2) (d) Y(s)=H(s) A(Scos Ø+ω sinØ)/(S^2-ω^2) I got this question in an online interview. The query is from Transfer Function topic in chapter 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

The correct choice is (c) Y(s)=H(s) A(Scos Ø-ω sinØ)/(S^2+ω^2) Best explanation: We had the equation Y(s) = H(s)X(s) to find the steady state solution of y(t). The s-domain expression for the response for the input is Y(s)=H(s) A(Scos Ø-ω sinØ)/(S^2+ω^2).