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 alternat

Question

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 0 cos ⁡ ω t . The emf induced in the smaller inner loop is nearly:

TestHub · Accepted Answer

Induced emf, ε = M d I d t , Current is given as, I = I 0 c o s ω t M = μ 0 π a 2 2 b , ε = - M d d t ( I 0 cos ω t ) c = M ω I 0 sin ω t = μ 0 π a 2 2 b ω I 0 sin ⁡ ω t

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