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  4. A small circular loop of wire of radius a is located at the centre of a much larger circular wire loop of radius b. The two loops are in the same plane. The outer loop of radius b carries an alternating current I = Io cos (ω t). The emf induced in the smaller inner loop is nearly :

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Q. A small circular loop of wire of radius a is located at the centre of a much larger circular wire loop of radius b. The two loops are in the same plane. The outer loop of radius b carries an alternating current $I = I_o \, \cos (\omega t)$. The emf induced in the smaller inner loop is nearly :

JEE MainJEE Main 2017Electromagnetic Induction

Solution:

$e = MdI$
$dT \quad M = \frac{\mu_{0}\pi a^{2}}{2b}$
$= \frac{\mu_{0}\pi a^{2}}{2b} = \omega I_{0}\,l\omega t$