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KCET2012PhysicsMagnetic Effects of Current

In the loop shown, the magnetic induction at the point O is

Options

  1. Azero
  2. B₀ I 8 ( R₁-R₂ R₁ R₂ )
  3. C₀ I 8 ( R ₁+ R ₂ R _ 1 R ₂ )
  4. D₀ I 8 ( R ₁ R ₂ R ₁+ R ₂ )

Correct answer

C. ₀ I 8 ( R ₁+ R ₂ R _ 1 R ₂ )

Step-by-step solution

Net magnetic field at O aligned B &=B₁+B₂= - / 2 2 - ₀ I 2 R₁ + / 2 2 ₀ I 2 R₂ &= ₀ I 8 ( R₁+R₂ R₁ R₂ ) aligned

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