A current I flows in an infinity long wire with cross section

Question:

A current I flows in an infinity long wire with cross section in the from of a semicircular ring of radius $R$. the magnitude of the magnetic induction along its axis is :-

  1. $\frac{\mu_{0} I}{2 \pi R}$

  2. $\frac{\mu_{0} I}{4 \pi R}$

  3. $\frac{\mu_{0} I}{\pi^{2} R}$

  4. $\frac{\mu_{0} I}{2 \pi^{2} R}$

Correct Option: , 3

Solution:

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