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The quality factor of the coil for a series circuit having R = 10Ω, L = 0.1H, C = 10µF. (a) 1 (b) 5 (c) 10 (d) 15 This question was posed to me by my college director while I was bunking the class. This key question is from Bandwidth of an RLC Circuit topic in portion 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)

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Correct answer is (c) 10 Easy explanation: The resonant frequency is given by fr = 1/(2π√LC)=1/(2π√(0.1×10×10^-6))=159.2 Hz. The relation between quality factor, resonant frequency and bandwidth is Q = fr/BW = 2πfrL/R = (6.28×159.2×0.1)/10=10.

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