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STD 12 -6. Electromagnetic induction — NEET STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceNEETSTD 12 -6. Electromagnetic induction4 Marks
Question
Two coils have a mutual inductance $0.005\,H$ . The current changes in the first coil The current changes in the first coil according to the equation $I = I_0 sin\,\omega t$ , where $I_0 = 10\,A$ and $\omega  = 100\pi \,rad/s$ . The maximum value of $emf$ in the second coil will be
✓

Answer

As, $|\varepsilon|=M \frac{d I}{d t}$

$=M \frac{d}{d t}\left(I_{0} \sin \omega t\right)=M I_{0} \omega \cos \omega t$

$\therefore \quad \varepsilon_{\max }=0.005 \times 10 \times 100 \pi \times 1=5 \pi$

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