Two coils are having self-inductance of 5 mH and 10 mH and a mutual inductance of 0.5 mH in a differential connection. The equivalent inductance of the combination is ___________

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Two coils are having self-inductance of 5 mH and 10 mH and a mutual inductance of 0.5 mH in a differential connection. The equivalent inductance of the combination is ___________

asked Oct 17, 2021 in Education by JackTerrance

Two coils are having self-inductance of 5 mH and 10 mH and a mutual inductance of 0.5 mH in a differential connection. The equivalent inductance of the combination is ___________ (a) 14 mH (b) 5.85 mH (c) 6 mH (d) 6.15 mH The question was asked by my school principal while I was bunking the class. My doubt is from Advanced Problems on Magnetically Coupled Circuits in portion 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)

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JackTerrance · Answer 1 · 2021-10-17T04:12:03+0000

The correct option is (a) 14 mH The best I can explain: When 2 coils are connected in series, then effective inductance, LEFF = L1 + L2 ± 2M For this case, LEFF = L1 + L2 – 2M = 5 + 10 – 2 × 0.5 = 15 – 1 = 14 mH.