Question

For the three coupled coils shown in figure, KVL equation is ____________ (a) V = (L1 + L2 + L3) \frac{di}{dt} (b) V = (L1 – L2 – L3 – M13) \frac{di}{dt} (c) V = (L1 + L2 + L3 + 2M12 – 2M23 – 2M13) \frac{di}{dt} (d) V = (L1 + L2 + L3 – 2M12 + 2M23 + 2M13) \frac{di}{dt} I have been asked this question by my school teacher while I was bunking the class. This interesting question is from Advanced Problems Involving Complex Circuit Diagram in section Network Theory and Complex Circuit Diagram 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

The correct option is (c) V = (L1 + L2 + L3 + 2M12 – 2M23 – 2M13) \frac{di}{dt} To explain: M12 is positive while M23 and M13 are negative because of dots shown in figure. So, the KVL equation is given by, V = (L1 + L2 + L3 + 2M12 – 2M23 – 2M13) \frac{di}{dt} .