Question 250: Electromagnetic Induction

Question

Two coils have a mutual inductance 0.003 H . The current changes in the first coil according to equation $I=I_0 \sin \omega t$, where $I_0=8 \mathrm{~A}$ and $\omega=100 \pi \mathrm{rad} \mathrm{s}^{-1}$. The maximum value of e.m.f. in the second coil is

Accepted Answer

$$\begin{array}{ll} 
& \left|e_sight|=M \frac{d I_p}{d t} \
& \left|e_sight|=M \frac{d}{d t} I_0 \sin \omega t \
& \left|e_sight|=M I_0 \omega \cos \omega t \
	herefore \quad & \left|e_sight|_{\max }=M I_0 \omega=0.003 	imes 8 	imes 100 \pi 	imes 1 \
	herefore \quad & \left|e_sight|_{\max }=(2.4 \pi) 	ext { volt }
\end{array}$$

Answer

$2 \pi \mathrm{~V}$

Answer

$2.4 \pi \mathrm{~V}$

Answer

$5 \pi \mathrm{~V}$

Answer

$7.2 \pi \mathrm{~V}$

Electromagnetic Induction

Two coils have a mutual inductance 0.003 H . The current changes in the first coil according to equation I=I_0 \sin \omega t, where I_0=8 \mathrm{~A} and \omega=100 \pi \mathrm{rad} \mathrm{s}^{-1}. The maximum value of e.m.f. in the second coil is

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