Two identical coils of radius $R$ and number of turns $N$ are placed perpendicular to each others in such a way that they have common centre. The current through them are $I$ and $I\sqrt 3$ . The resultant intensity of magnetic field at the centre of the coil will be  (in $weber/m^2)2$

  • A

    $\frac{{{\mu _0}NI}}{{2R}}$

  • B

    $\sqrt 5 \frac{{{\mu _0}NI}}{{2R}}$

  • C

    $\sqrt 3 \frac{{{\mu _0}NI}}{{2R}}$

  • D

    $\frac{{{\mu _0}NI}}{R}$

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