Question

For the parallel resonant circuit shown below, the value of the resonant frequency is _________ (a) 1.25 MHz (b) 2.5 MHz (c) 5 MHz (d) 1.5 MHz This question was addressed to me by my school principal while I was bunking the class. This interesting question is from Problems of Parallel Resonance Involving Quality Factor in chapter 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 (a) 1.25 MHz The best explanation: Resonant Frequency, FR = \frac{1}{2π\sqrt{LC}} = \frac{1}{6.28\sqrt{(100×10^{-6})(162.11×10^{-12})}} = \frac{1}{6.28\sqrt{1.621×10^{-14}}} = \frac{1}{799×10^{-9}} = 1.25 MHz.