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Q.

A square loop of side 'a' lying in a perpendicular magnetic field to its plane is changed to a circle. If change occurs in 't' seconds in magnetic field B tesla, the induced emf is

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a

Ba2t[4π−1]

b

4πBa2t

c

Zero

d

Ba2t

answer is C.

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Detailed Solution

Question Image

Perimeter of square loop=circumference of circular loop

4a=2πr⇒r=2aπ

A1=a2;   A2=πr2=π(2aπ)2=4a2π

induced emf e=B(A2−A1)t

e=Ba2t[4π−1]

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