First slide
Magnetism
Question

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 :

Moderate
Solution

Torque=τ = M×B 

M=I2a2j^andB=μ0I2πbi^

τ=2μ0I2a2πb

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