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MHT CET202619 April 2026Morning ShiftPhysicsMagnetic Effects of CurrentActual

Two thin long parallel wires, W₁ and W₂ separated by distance ' a ', carry currents i and 3i respectively in the same direction. The magnitude of the force per unit length exerted by wire W₁ on wire W₂ is

Options

  1. A₀ , i^2 2 , a
  2. B₀ , i^2 , a
  3. C3 ₀ , i^2 2 , a
  4. D2 ₀ , i^2 3 , a

Correct answer

C. 3 ₀ , i^2 2 , a

Step-by-step solution

The magnetic field produced by wire W₁ at the position of wire W₂ is B₁ = ₀ i 2 a The magnetic force experienced by wire W₂ per unit length is F L = B₁ I₂ Substituting I₂ = 3i , we get F L = ( ₀ i 2 a ) (3i) = 3 ₀ i^2 2 a Answer: 3 ₀ , i^2 2 , a

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