Question

For a series RLC circuit, excited by voltage V = 20 sinωt. The values of R = 2 Ω, L = 1mH and C = 0.4 µF. The resonant frequency of the circuit is ______________ (a) 20 krad/s (b) 30 krad/s (c) 40 krad/s (d) 50 krad/s This question was posed to me in an international level competition. This intriguing question comes from Advanced Problems on Resonance in division Resonance & Magnetically Coupled Circuit 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 (d) 50 krad/s To explain: We know that the resonant frequency w0 = 1/(LC)^0.5 Given R = 2 Ω, L = 1mH and C = 0.4 µF. So, w0 = \(\frac{1}{\sqrt{10^{-3}×0.4×10^{-6}}}\) Or, w0 = 50 krad/s.