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A square loop of side a is placed such that its plane is the same as that of a very long straight wire carrying a current I. The centre O of the loop is at a distance x from the wire. The loop is given a velocity v as shown. If x >> a, the magnitude of the emf induced in the loop is proportional to 

 

a
x
b
x2
c
1x
d
1x2

detailed solution

Correct option is D

B=μ0i2πx    ϕ=BA =Ba2 e=- dϕdt =-ddtμ0i2πxa2=- μ0i2π-1x2 dxdta2 e=μ0i2π1x2 va2

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