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Q.

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

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a

x

b

x2

c

1x

d

1x2

answer is D.

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Detailed Solution

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