A conducting circular loop is placed in a uniform magnetic field, B = 0.025 T with its plane perpendicular to the loop. The radius of the loop is made to shrink at a constant rate of 1 mm/s. The induced emf when the radius is 2 cm, is :
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a
2 μV
b
2π μV
c
π μV
d
π2μV
answer is C.
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Detailed Solution
ϕ=Bπr2 ⇒e=dϕdt=B(2πr)drdt=0.0.252π2 x 10-210-3=π μV