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Combination of Inductors

Two inductors...

Question

Two inductors of 10mH respectively are connected together in a series combination so that their magnetic fields aid each other giving cumulative coupling. Their mutual inductance is given as 5mH. Calculate the total inductance of the series combination

A

15 mH

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B

20 mH

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C

25 mH

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D

30 mH

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Solution

The correct option is B 30 mH
For a coupled series inductors, the total inductance is given by $L_{T} = L_{1} + L_{2} \pm 2 M$
When the inductors are coupled cumulatively means current in same direction, the total inductance will be $L_{T} = L_{1} + L_{2} + 2 M = 10 + 10 + 2 (5) = 30$ $m H$

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