A circular arc of radius 'r' carrying current 'I' subtends on angle $\frac{\pi}{16}$ at its centre. The…

A circular arc of radius 'r' carrying current 'I' subtends on angle $\frac{\pi}{16}$ at its centre. The radius of a metal wire is uniform. The magnetic induction at the centre of circular arc is
  1. $\frac{\mu_{0} \text { I }}{16 r}$
  2. $\frac{\mu_{0} \text { I }}{32 r}$
  3. $\frac{\mu_{0} I}{64 r}$
  4. $\frac{\mu_{0} \text { I }}{8 r}$

Solution

$B_{a t 0}=\frac{\mu_{0} I}{4 \pi r}\left(\frac{\pi}{1}\right.)$ $B_{a t 0}=\frac{\mu_{0} I}{64 r}$

Asked in: MHT CET 2020 (15 Oct Shift 1)

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