A current of $i$ ampere is flowing through each of the bent wires as shown the magnitude and direction of magnetic field at $O$ is
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$B=\frac{\mu}{4 \pi} \frac{I}{R} \times \frac{\pi}{2}+\frac{\mu_{0}}{R^{\prime}} \times \frac{3 \pi}{2}$
$=\frac{\mu_{0} I}{8}\left(\frac{1}{R}+\frac{3}{R^{\prime}}\right)$
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