Question

For the resonant circuit given below, the value of the quality factor of the circuit is __________ (a) 5.6 (b) 7.1 (c) 8.912 (d) 12.6 This question was addressed to me in an interview. This interesting question is from Problems of Series Resonance Involving Quality Factor 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 choice is (b) 7.1 To explain I would say: f = \frac{1}{2π\sqrt{LC}} = \frac{1}{6.28\sqrt{(10 × 10^{-6})(200 × 10^{-12})}} = \frac{1}{6.28\sqrt{2 × 10^{-15}}} = \frac{1}{888 × 10^{-9}} = 1.13 MHz Inductive Reactance, XL = 2πfL = (6.28) (1.13 × 10^6)(10 × 10^-6) = 70.96 Ω ∴ Q = \frac{X_L}{R} = \frac{70.96}{10} = 7.1.