$A$ circular arc of radius $r$ carrying current $I$ subtends an angle $\frac{\pi}{8}$ at its centre. The radius of the metal wire is uniform. The magnetic induction at the centre of the circular arc is ($\mu_0 =$ permeability of free space).

  • A
    $\frac{\mu_0 I}{8 r}$
  • B
    $\frac{\mu_0 I}{32 r}$
  • C
    $\frac{\mu_0 I}{64 r}$
  • D
    $\frac{\mu_0 I}{16 r}$

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