Question

In the circuit given below, the magnitudes of VL and VC are twice that of VK. Calculate the inductance of the coil, given that f = 50.50 Hz. (a) 6.41 mH (b) 5.30 mH (c) 3.18 mH (d) 2.31 mH I have been asked this question during a job interview. The origin of the question is Problems of Series Resonance Involving Frequency Response of Series Resonant Circuit 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

Correct option is (c) 3.18 mH To explain I would say: VL = VC = 2 VR ∴ Q = \(\frac{V_L}{V_R}\) = 2 But we know, Q = \(\frac{ωL}{R} = \frac{1}{ωCR}\) ∴ 2 = \(\frac{2πf × L}{5}\) Or, L = 3.18 mH.