Question

Given a system function H(s) = \frac{V(s)}{I(s)} = \frac{(s+4)}{(s+3)^2}. And i(t) is a unit step, then V(t) in the steady state is ___________ (a) \frac{4}{9} (b) \frac{4}{3} (c) 0 (d) ∞ I got this question in an interview for job. This interesting question is from Laplace Transform of a Periodic 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

Correct answer is (a) \frac{4}{9} The explanation is: V(s) = \frac{(s+4)}{(s+3)^2}, I(s) = \frac{(s+4)}{s(s+3)^2} At steady state, sV(s) = \frac{0+4}{(0+3)^2} = \frac{4}{9} .