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Q.

A square loop of side 2a , and carrying current i, is kept in XZ plane with its center at origin . A long wire carrying the same current i is placed parallel to the z-axis and passing through the point (0, b, 0) , (b > > a ) the magnitude of the torque on the loop about Z-axis  is given by :

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a

2μ0I2a2πb

b

μ0I2a32πb2

c

2μ0I2a3πb2

d

μ0I2a22πb

answer is A.

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Detailed Solution

Torque=τ = M→×B→ M→=I2a2 j^and B→ =μ0I2πbi^⇒τ=2μ0I2a2πb
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