JEE Main 2017 Physics question

PhysicsElectromagnetic InductionJEE Main 2017

A small circular loop of wire of radius is located at the centre of a much larger circular wire loop of radius . The two loops are in the same plane. The outer loop of radius carries an alternating current . The emf induced in the smaller inner loop is nearly:

Answer: (4)

Solution

Because , the field of the outer loop is essentially uniform over the area of the inner loop and equal to its central value

B = .

The flux linked with the small loop is therefore

φ = B×π = ω t.

Faraday's law gives

ε = -

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Question ID VK-115784