Question

For the series resonant circuit shown below, the value of the resonant frequency is _________ (a) 36.84 kHz (b) 40.19 kHz (c) 25.28 kHz (d) 15.9 kHz The question was posed to me in an international level competition. This intriguing question comes from Problems of Series Resonance Involving Quality Factor 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)

Answer 1

Correct choice is (d) 15.9 kHz Best explanation: Resonant Frequency, FR = \frac{1}{2π\sqrt{LC}} = \frac{1}{6.28\sqrt{(5 × 10^{-3})(0.02 × 10^{-6})}} = \frac{1}{6.28\sqrt{10^{-10}}} = \frac{1}{6.28 × 10^{-5}} = 15.9 kHz.