Two concentric coils $X$ and $Y$ of radii $16 \,\,cm$ and $10 \,\,cm$ lie in the same vertical plane containing $N-S$ direction. $X$ has $20$ $turns$ and carries $16 \,\,A.$ $Y$ has $25$ $turns$ $\&$ carries $18\,A$. $X$ has current in anticlockwise direction and $Y$ has current in clockwise direction for an observer, looking at the coils facing the west. The magnitude of net magnetic field at their common centre is

  • A

    $5\pi \times 10^{-4} \,T$ towards west

  • B

    $13\pi \times 10^{-4} \,T$ towards east

  • C

    $13\pi \times 10^{-4}\, T$ towards west

  • D

    $5\pi \times 10^{-4} \,T$ towards east

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