An infinite wire has a circular bend of radius a, and carrying a current I as shown in figure. The magnitude of magnetic field at the origin $O$ of the arc is given by :

Question

An infinite wire has a circular bend of radius a, and carrying a current I as shown in figure. The magnitude of magnetic field at the origin O of the arc is given by :

TestHub · Accepted Answer

​ B 1 ​ = 4 π a μ 0 ​ i ​ ⊗ B 2 ​ = 4 π μ 0 ​ ​ a i ​ ( 2 3 π ​ ) ⊗ B 3 ​ = 0 B = 4 π μ 0 ​ ​ a i ​ ( 1 2 3 π ​ ) ⊗ ​

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