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

For the three coupled coils shown in figure, KVL equation is _________

1.	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
Answer» 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) \(\frac{di}{dt}\).

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