Question

In the circuit given below, the resonant frequency is _______________ (a) \frac{1}{2\sqrt{2} π} Hz (b) \frac{1}{2π} Hz (c) \frac{1}{4π} Hz (d) \frac{1}{\sqrt{2}2π} Hz I have been asked this question during an interview for a job. This interesting question is from Problems Involving Dot Conventions topic in section 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 answer is (c) \frac{1}{4π} Hz To explain I would say: IEQ = L1 + L2 + 2M LEQ = 1 + 2 + 2 × \frac{1}{2} = 4 H ∴ FO = \frac{1}{2π\sqrt{LC}} = \frac{1}{2π\sqrt{4 × 1}} = \frac{1}{4π} Hz.