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
Diffcult
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$B=\frac{\mu_{0}}{4 \pi} \frac{I}{2 r} \times \pi+\frac{\mu_{0}}{4 \pi} \frac{I}{r} \times \pi$
$=\frac{\mu_{0} I}{4 r}\left[\frac{1}{2}+1\right]=\frac{3}{8} \frac{\mu_{0 I}}{r} \odot$
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