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