Question 4: Electromagnetic Induction

Question

A current $I=10 \sin (100 \pi t) A$ is passed in the first coil, which induces a maximum emf of $5 \pi \mathrm{~V}$ in second coil. The mutual inductance between the coil is

Accepted Answer

$$ \begin{aligned}  e & =-M \frac{d i}{d t} \ \frac{d i}{d t} & =10 	imes 100 \pi \cos (100 \pi t) \end{aligned} $$
Maximum value of $\frac{d i}{d t}$ is $10 	imes 100 \pi \cdot[\because \cos (100 \pi t)=1]$
$$ 	ext { } \begin{aligned} Now,\, M & =\frac{e}{\frac{d i}{d t}}=\frac{5 \pi}{10 	imes 100 \pi} \ & =5 	imes 10^{-3} \mathrm{H}=5 \mathrm{mH} \ M & =5 \mathrm{mH} \end{aligned} $$

Answer

5 mH

Answer

10 mH

Answer

15 mH

Answer

2.5 mH

Electromagnetic Induction

A current I=10 \sin (100 \pi t) A is passed in the first coil, which induces a maximum emf of 5 \pi \mathrm{~V} in second coil. The mutual inductance between the coil is

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