Question

In the circuit shown below, the switch is closed at t = 0. Applied voltage is v (t) = 400cos (500t + π/4). Resistance R = 15Ω, inductance L = 0.2H and capacitance = 3 µF. Find the roots of the characteristic equation. (a) -38.5±j1290 (b) 38.5±j1290 (c) 37.5±j1290 (d) -37.5±j1290 The question was posed to me during an online interview. This interesting question is from Sinusoidal Response of an R-L-C Circuit in section Transients 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 (d) -37.5±j1290 Explanation: By applying Kirchhoff’s voltage law to the circuit, On differentiating the above equation and on solving, we get roots of the characteristic equation as -37.5±j1290.