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Magnetic Field Due to a Circular Ring on the Axis

The current d...

Question

The current decays from $5 A$ to $2 A$ in $0.01 s$ in a coil. The emf induced in a coil nearby it is $30 V$ . The mutual inductance between the coils is

A

1.0 H

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B

0.1 H

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C

0.001 H

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D

10 H

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Solution

The correct option is B $0.1 H$
$e m f = M \frac{d i}{d t}$
$M = \frac{e m f}{\frac{d i}{d t}}$
= $= \frac{30}{3} \times 0.01$
$= 0.1 H$

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