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AP EAMCET202421 May 2024Morning ShiftPhysicsMagnetic Effects of CurrentActual

A rectangular loop of sides 25 cm and 10 cm carrying a current of 10 A is placed with its longer side parallel to a long straight conductor 10 cm apart carrying current 25 A. The net force on the loop is

Options

  1. A6.25 10⁻⁵ ~N
  2. B5.5 10⁻⁵ ~N
  3. C3.75 10⁻⁵ ~N
  4. D8.75 10⁻¹¹ ~N

Correct answer

A. 6.25 10⁻⁵ ~N

Step-by-step solution

Due to symmetry, aligned & F ₃= F ₄ & ~F ₁= ₀ I ₁ I ₂ 1 2 r ₁ & ~F ₂= ₀ I ₁ I ₂ 1 2 r ₂ aligned Net force on the loop, aligned & F = ( F ₁- F ₂ )+ ( F ₃- F ₄ ) & = ₀ I ₁ I ₂ 1 2 ( 1 r ₁ - 1 r ₂ ) & = 4 10⁻⁷ 25 10 25 10⁻² 2 ( 1 10 - 1 20 ) 10^2 & =6.25 10⁻⁵ ~N aligned

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