Question

Consider the self-inductances of two coils as 12 H and 5 H. 50 % of one flux links the other. The mutual inductance is ___________ (a) 30 H (b) 24 H (c) 9 H (d) 4.5 H I got this question during an interview. The question is from Advanced Problems on Network Theorems in section Useful Theorems 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

Correct answer is (d) 4.5 H The best I can explain: We know that, M = k\(\sqrt{L_1 L_2}\) Given that, L1 = 12 H, L2 = 5 H and k = 0.5 So, M = 0.5\(\sqrt{12 X 5}\) = 0.5\(\sqrt{60}\) = 0.5 X 7.75 = 3.875 H.