The force between two parallel wires is 1.53 x 10⁻³ N.
Force between two parallel wires
When two wires carrying a current are placed parallel to each other, their magnetic fields will interact, resulting in a force acting between the wires.
The magnitude of the force acting on each wire is equal, but the directions are opposite.
The force between two parallel wires is calculated as follows;
F = (μI₁I₂L) / (2πr)
where;
- μ is permeability of free space
- I₁ is current in first wire
- I₂ is current in second wire
- L is length of the wires
- r is the distance between the wires
Substitute the given parameters and solve for the force between the wires;
F = (4π x 10⁻⁷ x 35 x 35 x 0.25) / (2π x 0.04)
F = 1.53 x 10⁻³ N
Thus, the force between two parallel wires is 1.53 x 10⁻³ N.
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