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Q.

In a pair of adjacent coils if the current in one coil changes from 10 A to 2 A in a time 0.2 s, an emf of 120 V is induced in another coil. The mutual inductance of the pair of the coils is

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a

$9 H$

b

$3 H$

c

$2 H$

d

$6 H$

answer is B.

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Detailed Solution

Induced EMF= $M \frac{d i}{d t}$

$M = \frac{E M F}{\frac{d i}{d t}} = \frac{120}{\frac{10 - 2}{0.2}} = 3 H$

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In a pair of adjacent coils if the current in one coil changes from 10 A to 2 A in a time 0.2 s, an emf of 120 V is induced in another coil. The mutual inductance of the pair of the coils is