Question

A system is at rest for t < 0. It is given by \frac{dy}{dt} + 2y = u(t)sin⁡(2t+A). If steady state is reached at t = 0, then the value of angle A is ___________ (a) 0° (b) 45° (c) -45° (d) ∞ The question was asked during an interview for a job. The above asked question is from Laplace Transform of a Periodic 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

Right answer is (b) 45° Best explanation: Given that, \frac{dy}{dt} + 2y = u(t)sin⁡(2t+A) Or, y(s).s + 2y(s) = \frac{ω}{s^2+4} Or, s + 2 = 0 Or, j ω + 2 = 0 Or, j2 + 2 = 0 Or, 1 + j = 0 Or, tan^-1(1) = 45°.