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MHT CET · Physics · Magnetic Effects of Current

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
cirçlar arç is

  1. A \(\frac{\mu_{0} \text { I }}{16 r}\)
  2. B \(\frac{\mu_{0} \text { I }}{32 r}\)
  3. C \(\frac{\mu_{0} I}{64 r}\)
  4. D \(\frac{\mu_{0} \text { I }}{8 r}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\frac{\mu_{0} I}{64 r}\)

Step-by-step Solution

Detailed explanation

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