Question

Let us assume x (t) = A cos(ωt + φ), on taking the partial fractions for the response we get? (a) Y(s)=k1/(s-jω)+(k1^‘)/(s+jω)+Σterms generated by the poles of H(s) (b) Y(s)=k1/(s+jω)+(k1^‘)/(s+jω)+Σterms generated by the poles of H(s) (c) Y(s)=k1/(s+jω)+(k1^‘)/(s-jω)+Σterms generated by the poles of H(s) (d) Y(s)=k1/(s-jω)+(k1^‘)/(s-jω)+Σterms generated by the poles of H(s) This question was addressed to me by my college professor while I was bunking the class. This interesting question is from Transfer Function 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 answer is (a) Y(s)=k1/(s-jω)+(k1^‘)/(s+jω)+Σterms generated by the poles of H(s) For explanation I would say: By taking partial fractions, Y(s)=k1/(s-jω)+(k1^‘)/(s+jω)+Σterms generated by the poles of H(s). The first two terms result from the complex conjugate poles of the deriving source.