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MHT CET202314 May 2023Evening ShiftPhysicsMagnetic Effects of CurrentActual

Figure shows two semicircular loops of radii R₁ and R₂ carrying current I . The magnetic field at the common centre ' O ' is

Options

  1. A₀ I 4 ( 1 R₁ + 1 R₂ )
  2. B₀ I 4 ( 1 R₁ - 1 R₂ )
  3. C₀ I 2 ( 1 R₁ + 1 R₂ )
  4. D₀ I 2 ( 1 R₁ - 1 R₂ )

Correct answer

A. ₀ I 4 ( 1 R₁ + 1 R₂ )

Step-by-step solution

For semicircular arc the magnetic field is given as B= ₀ i 4 R The equivalent magnetic field at the centre is aligned & B_ eq = ₀ I 4 R₁ + ₀ I 4 R₂ & B_ eq = ₀ I 4 ( 1 R₁ + 1 R₂ ) aligned

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