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JIPMER2017PhysicsMagnetic Effects of Current

In the given figure, what is the magnetic field induction at point O .

Options

  1. A₀ l 4 r
  2. B₀ l 4 r + ₀ l 2 r
  3. C₀ I 4 r + ₀ I 4 r
  4. D₀ I 4 r - ₀ I 4 r

Correct answer

C. ₀ I 4 r + ₀ I 4 r

Step-by-step solution

Magnetic field due to straight wire above O is zero i.e. B₁=0 (since, =0^ ) The magnetic field due to semi circular part B₂= ( ₀ n I 2 r )= ₀(1 / 2) I 2 r = ₀ I 4 r The magnetic field due to lower straight portion B₃= 1 2 ₀ I 2 r (upward) Net magnetic field B=B₁+B₂+B₃=0+ ₀ I 4 r + ₀ I 4 r (upwards)

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