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

Gujarat BoardEnglish MediumSTD 11 ScienceNEETSTD 12 -6. Electromagnetic induction4 Marks
MCQ
Two coils have a mutual inductance $0.005 \,H$. The current changes in the first coil according to equation $I = {I_0}\sin \omega \,t$, where ${I_0} = 10\,A$ and $\omega =100\pi\; radian/sec$. The maximum value of $e.m.f$. in the second coil is
  • A
    $2\, \pi$
  • ✓
    $5\, \pi$
  • C
    $\pi$
  • D
    $4\, \pi$
✓

Answer

Correct option: B.
$5\, \pi$
b
(b)$e = M\frac{{di}}{{dt}} = 0.005 \times \frac{d}{{dt}}({i_0}\sin \omega t)$ $ = 0.005 \times {i_0}\omega \cos \omega \,t$

$\therefore {e_{\max }} = 0.005 \times 10 \times 100\pi = 5\pi $

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