Figure shows a square loop $ABCD$ with edge length $a$. The resistance of the wire $ABC$ is $r$ and that of $ADC$ is $2r$. The value of magnetic field at the centre of the loop assuming uniform wire is

131-35

  • A

    $\frac{{\sqrt 2 \,{\mu _0}i}}{{3\pi \,a}}\odot$

  • B

    $\frac{{\sqrt 2 \,{\mu _0}i}}{{3\pi \,a}} \otimes $

  • C

    $\frac{{\sqrt 2 \,{\mu _0}i}}{{\pi \,a}}\odot$

  • D

    $\frac{{\sqrt 2 \,{\mu _0}i}}{{\pi \,a}} \otimes $

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