Q.

The magnetic field at the point O due to the current flowing in the loop shown in the figure is

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a

μ0l4r1+r2r1r2

b

μ0∣4r1−r2r1r2

c

μ0∣4R1−R2

d

μ0∣4R1+R2

answer is A.

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Detailed Solution

The magnetic fields in the larger and smaller arcs add upThe resultant magnetic field at the point O isB=μ0∣4r1+μ0∣4r2=μ0l41r1+1r2,B=μ0l4r1+r2r1r2
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The magnetic field at the point O due to the current flowing in the loop shown in the figure is