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KVPY2013PhysicsMagnetic Properties of Matter

An arangement with a pair of quarter circular coils of radii r and R with a common centre C and carrying a current I is shown. The permeability of free space is ₀ . The magnetic field at C is

Options

  1. A₀ (1 / r-1 / R) / 8 into the page
  2. B₀ (1 / r+1 / R) / 8 out of the page
  3. C₀ (1 / r-1 / R) / 8 out of the page
  4. D₀ (1 / r+1 / R) / 8 into the page

Correct answer

C. ₀ (1 / r-1 / R) / 8 out of the page

Step-by-step solution

B due to Arc = ₀ i 4 r ₀ i 8 [ 1 r - 1 R ] out of the page

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