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?

Practice Questions

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(μ₀I₁I₂)/(2πd)
(μ₀I₁I₂)/(4πd)
(μ₀I₁I₂)/(8πd)
(μ₀I₁I₂)/(πd)

Questions & Step-by-step Solutions

1 item

Q: 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?

Solution: The force per unit length between two parallel wires is given by F/L = (μ₀I₁I₂)/(2πd).

Steps: 8

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.

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?

Practice Questions

Questions & Step-by-step Solutions

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