In given diagram, two current carrying circular loop of radius $R$ and $2R$ are arranged in $YZ-$ plane and $XZ-$ plane respectively. Common centre of both are at origin $O$. Then what will be angle of resultant magnetic field from $X-$ axis.

815-681

  • A

    ${\tan ^{ - 1}}\left( 2 \right)$

  • B

    ${\sin ^{ - 1}}\left( {\frac{1}{{\sqrt 5 }}} \right)$

  • C

    ${\cos ^{ - 1}}\left( {\frac{1}{{\sqrt 5 }}} \right)$

  • D

    ${\sin ^{ - 1}}\left( {\frac{2}{{\sqrt 5 }}} \right)$

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