If a wire of length $L$ carrying a current $i$ is bent in the shape of a semi-circular arc as shown in the figure,then the magnetic field at the centre of the arc is

  • A
    $\frac{\pi \mu_{o} i}{4 L}$
  • B
    $\frac{\pi^2 \mu_{o} i}{2 L}$
  • C
    $\frac{\mu_{o} i}{2 L}$
  • D
    $\frac{\mu_{o} i}{4 L}$

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