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Calculate the value of equivalent inductance for series subtracting polarity of two coils whose self inductances are 14 H, 5 H, and mutual inductance value is 1 H.

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Calculate the value of equivalent inductance for series subtracting polarity of two coils whose self inductances are 14 H, 5 H, and mutual inductance value is 1 H.

(a) 15 H

(b) 17 H

(c) 12 H

(d) 10 H

This question was posed to me in a job interview.

The doubt is from Regenerative Braking of DC Shunt Motors in chapter Braking of DC Motors & Induction Motors of Electric Drives

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The correct option is (b) 17 H

Easy explanation: The equivalent inductance for series subtracting of two coils is Leq=L1+L2-2M=14+5-2=17 H. The value of equivalent inductance decreases due to negatively mutually induced e.m.f in case of the magnetically coupled circuit.

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