Question 331: Electromagnetic Induction

Question

2. Two coils have a mutual inductance of 0.01 H . The current in the first coil changes according to equation, $I=5 \sin 200 \pi t$. The maximum value of emf induced in the second coil is

Accepted Answer

Given, mutual inductance in the coil, $M=0.01 \mathrm{H}$ and current in coil, $l=5 \sin 200 \pi t$.
Emf induced in secondary coil is given,
$$e=M \frac{d l}{d t}$$
putting the value in above relation,
$$\begin{aligned}
e & =0.01 	imes \frac{d}{d t}(5 \sin 200 \pi t) \
& =0.01 	imes 5 	imes 200 \pi \cos 200 \pi t=10 \pi \cos 200 \pi t
\end{aligned}$$
Compairing the above equation with the general equation of induced emf, which is represented as,
$$e=e_0 \cos \omega t$$
where, $e_0$ is the maximum value of the emf.
$	herefore$ In the question, the maximum value of emf induced in the coil is; $e_0=10 \pi \mathrm{~V}$.

Answer

$10 \pi V$

Answer

$0.1 \pi \mathrm{~V}$

Answer

$\pi V$

Answer

$0.01 \pi \mathrm{~V}$

Electromagnetic Induction

2. Two coils have a mutual inductance of 0.01 H . The current in the first coil changes according to equation, I=5 \sin 200 \pi t. The maximum value of emf induced in the second coil is

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