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A current $I$ flows around a closed path in the horizontal plane of the circle as shown in the figure. The path consists of eight arcs with alternating radii $r$ and $2r$. Each segment of arc subtends equal angle at the common centre $P.$ The magnetic field produced by current path at point $P$ is
  • A$\frac{3}{8}\,\frac{{{\mu _0}I}}{r}$; perpendicular to the plane of the paper and directed inward. 
  • B$\frac{3}{8}\,\frac{{{\mu _0}I}}{r}$; perpendicular to the plane of the paper and directed outward.
  • C$\frac{1}{8}\,\frac{{{\mu _0}I}}{r}$ ; perpendicular to the plane of the paper and directed inward. 
  • D$\frac{1}{8}\,\frac{{{\mu _0}I}}{r}$; perpendicular to the plane of the paper and directed outward.. 
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