Q. 23

Find the magnetic field B at the centre of a rectangular loop of length ℓ and width b, carrying a current i.

Answer :

Let us consider two angles made by points A and B with point O be θ1 and θ2 respectively.


θ1 = θ2 = θ


Let distance of the point from the wire



In triangle




Thus induced magnetic field due to AB is given by,






Similarly the induced magnetic field due to current in BC is given as:



Now, magnetic field due to CD = magnetic field due to current in wire AB =B


Also, magnetic field due to current in wire DA = magnetic field due to current in wire BC =B’






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