Question

A 440 V, 50 HZ AC source supplies a series LCR circuit with a capacitor and a coil. If the coil has 100 mΩ resistance and 15 mH inductance, then at a resonance frequency of 50 Hz, the Q factor of the circuit is? (a) 82.63 (b) 47.115 (c) 27.38 (d) 92.38 This question was addressed to me by my college professor while I was bunking the class. Question is from Problems of Series Resonance Involving Frequency Response of Series Resonant Circuit topic 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

The correct answer is (b) 47.115 The best explanation: We know that, Q = \(\frac{ωL}{R}\) Or, Q = \(\frac{2π×50×15×10^{-3}}{100×10^{-3}}\) = 47.115.