An arrangement with a pair of quarter circular coils of radii $r$ and $R$ with a common centre $C$ and carrying a current $I$ is shown in the figure. The permeability of free space is $\mu_0$. The magnetic field at $C$ is

210518-q

  • [KVPY 2013]
  • A

    $\mu_{0} I(1 / r-1 / R) / 8$ into the page

  • B

    $\mu_{0} I(1 / r-1 / R) / 8$ out of the page

  • C

    $\mu_{0} I(1 / r+1 / R) / 8$ out of the page

  • D

    $\mu_{0} I(1 / r+1 / R) / 8$ into the page

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