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MHT CET202311 May 2023Evening ShiftPhysicsElectromagnetic InductionActual

A circular arc of radius ' r ' carrying current ' I ' subtends an angle 16 at its centre. The radius of a metal wire is uniform. The magnetic induction at the centre of circular arc is [ ₀= . permeability of free space]

Options

  1. A₀ I 32 r
  2. B₀ I 16 r
  3. C₀ I 64 r
  4. D₀ I 8 r

Correct answer

C. ₀ I 64 r

Step-by-step solution

The magnetic field due to current carrying circular arc is B = ₀ I 2 r ( 2 ) Here, = 16 aligned B & = ₀ I 2 r ( 1 2 16 ) B & = ₀ I 2 r ( 1 32 ) B & = ₀ I 64 r aligned

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