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A wire carrying current $I$ has the shape as shown in adjoining figure.Linear parts of the wire are very long and parallel to $X-$axis while semicircular portion of radius $R$ is lying in $Y-Z$ plane. Magnetic field at point $O$ is
  • A$\overrightarrow {\;B} = \frac{{{\mu _0}I}}{{4\pi R}}\left( {\pi \hat i + 2\hat k} \right)\;\;\;\;\;$
  • B$\;\overrightarrow {\;B} = - \frac{{{\mu _0}I}}{{4\pi R}}\left( {\pi \hat i - 2\hat k} \right)$
  • C$\;\overrightarrow {\;B} = - \frac{{{\mu _0}I}}{{4\pi R}}\left( {\pi \hat i + 2\hat k} \right)$
  • D$\;\overrightarrow {\;B} = \frac{{{\mu _0}I}}{{4\pi R}}\left( {\pi \hat i - 2\hat k} \right)$
AIPMT 2015, Diffcult
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