Question

A system function H(s) = \frac{25}{s^2+4s+100}, the resonant frequency in rad/sec and bandwidth in rad/sec is ____________ (a) 5, 10 (b) 5, 4 (c) 10, 4 (d) 10, 10 The question was asked during an internship interview. This intriguing question comes 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

Right option is (c) 10, 4 The explanation: Given that, H(s) = \frac{25}{s^2+4s+100} So, we can infer that, ωn = (100)^0.5 = 10 And hence, ωr ≃ 10 So, resonant frequency = 10 rad/sec And Bandwidth = 10 rad/sec.