Three rings, each having equal radius $R,$ are placed mutually perpendicular to each other and each having its centre at the origin of co-ordinate system. If current $I$ is flowing thriugh each ring then the magnitude of the magnetic field at the common centre is

131-146

  • A

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

  • B

    zero

  • C

    $\left( {\sqrt 2  - 1} \right)\frac{{{\mu _0}I}}{{2R}}$

  • D

    $\left( {\sqrt 3  - \sqrt 2 } \right)\frac{{{\mu _0}I}}{{2R}}$

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