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A conductor is carrying a current i . The magnetic field intensity at the point O which is the common centre for three arcs is

Options

  1. A5 µ 0 iθ 24 πR
  2. Bµ 0 iθ 24 πR
  3. C11 µ 0 iθ 24 πR
  4. Dzero

Correct answer

A. 5 µ 0 iθ 24 πR

Step-by-step solution

Find B due to each arc at O and add them using vector addition. Since magnetic field at the centre of an arc is equal to B = µ 0 I 4 πr θ hence, net B = µ 0 i 4 π 1 R - 1 2 R + 1 3 R θ = 5 µ 0 iθ 24 πR

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