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.
${\tan ^{ - 1}}\left( 2 \right)$
${\sin ^{ - 1}}\left( {\frac{1}{{\sqrt 5 }}} \right)$
${\cos ^{ - 1}}\left( {\frac{1}{{\sqrt 5 }}} \right)$
${\sin ^{ - 1}}\left( {\frac{2}{{\sqrt 5 }}} \right)$
A long wire carries a steady current. It is bent into a circle of one turn and the magnetic field at the centre of the coil is $B$. It is then bent into a circular loop of $n$ $turns$. The magnetic field at the centre of the coil will be
In the figure shown there are two semicircles of radii ${r_1}$ and ${r_2}$ in which a current $i$ is flowing. The magnetic induction at the centre $O$ will be
Two similar coils of radius $R$ are lying concentrically with their planes at right angles to each other. The currents flowing in them are $I$ and $2I$, respectively. The resultant magnetic field induction at the centre will be
Find magnetic field at centre $P$ if length of side of square loop is $20\, cm$