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.
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$\mathrm{B}_{\mathrm{x}}=\frac{\mu_{\mathrm{o}} \mathrm{I}}{4 \mathrm{R}}, \mathrm{B}_{\mathrm{y}}=\frac{\mu_{0} \mathrm{I}}{8 \mathrm{R}} \Rightarrow \tan \theta=\frac{\mathrm{B}_{\mathrm{y}}}{\mathrm{B}_{\mathrm{x}}}=\frac{1}{2}$
$\sin \theta=\frac{1}{\sqrt{5}} \Rightarrow \theta=\sin ^{-1}\left(\frac{1}{\sqrt{5}}\right)$
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