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Mutual Induction

Two coils of ...

Question

Two coils of self inductances 2 mH and 8 mH are placed so close together that the effective flux in one coil is completely linked with the other. The mutual inductance between these coils is:

A

10 mH

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B

6 mH

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C

4 mH

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D

16 mH

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Solution

The correct option is D 4 mH
Given,
$L_{1} = 2 m H$
$L_{2} = 8 m H$
The mutual inductance between coil is
$M = \sqrt{L_{1} L_{2}}$
$M = \sqrt{2 \times 8} = \sqrt{16} m H$
$M = 4 m H$
The correct option is C.

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