Two parallel wires carrying currents I₁ and I₂ in the same direction are separat

Practice Questions

Q1
Two parallel wires carrying currents I₁ and I₂ in the same direction are separated by a distance d. What is the force per unit length between them?
  1. (μ₀I₁I₂)/(2πd)
  2. (μ₀I₁I₂)/(4πd)
  3. (μ₀I₁I₂)/(8πd)
  4. (μ₀I₁I₂)/(πd)

Questions & Step-by-Step Solutions

Two parallel wires carrying currents I₁ and I₂ in the same direction are separated by a distance d. What is the force per unit length between them?
  • Step 1: Understand that we have two parallel wires that carry electric currents I₁ and I₂.
  • Step 2: Recognize that these wires are separated by a distance 'd'.
  • Step 3: Know that when currents flow in the same direction, they attract each other.
  • Step 4: The force between the wires can be expressed as force per unit length (F/L).
  • Step 5: The formula to calculate the force per unit length between the wires is F/L = (μ₀I₁I₂)/(2πd).
  • Step 6: In this formula, μ₀ is the permeability of free space, which is a constant.
  • Step 7: I₁ and I₂ are the currents in the two wires, and 'd' is the distance between them.
  • Step 8: Plug in the values of I₁, I₂, and d into the formula to find the force per unit length.
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