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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

4πBa2t

b

Ba2t

c

Ba2t[4π−1]

d

Zero

answer is C.

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Detailed Solution

Perimeter of square loop=circumference of circular loop4a=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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