Question

In the circuit given below, the series circuit shown in figure, for series resonance, the value of the coupling coefficient, K will be? (a) 0.25 (b) 0.5 (c) 0.1 (d) 1 The question was posed to me in an online interview. Question is from Advanced Problems on Application of Laplace Transform in chapter Application of the Laplace Transform in Circuit Analysis 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) 0.25 Explanation: Mutual inductance wm = ω k \sqrt{L_1 L_2} Or, m = k.2.8 j^2 = 4k.j At resonance, Z = 20 – j10 + j2 + j6 + 2.4kj – 2j + 8kj = 0 Or, -2 = -8k Or, k = \frac{1}{4} = 0.25.