A coil having $N$ turns is wound tightly in the form of a spiral with inner and outer radii $a$ and $b$ respectively. When a current $i$ passes through the coil, the magnetic field at the centre is

  • A

    $\frac{{{\mu _0}Ni}}{b}$

  • B

    $\frac{{2{\mu _0}Ni}}{a}$

  • C

    $\frac{{{\mu _0}Ni}}{{2\left( {b - a} \right)}}ln\frac{b}{a}$

  • D

    $\frac{{{\mu _0}Ni}}{{\left( {b - a} \right)}}ln\frac{b}{a}$

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