Force between parallel wires¶

Two parallel wires through which current flows interact with each other. The intensity of their interaction depends on the magnitude of the current, the distance from the wires, as well as on the material and length of the wire.

Notes:

Also see Ampère’s force law.

Links:

Physics LibreTexts, formula 22.10.3.

force¶: force of interaction between the wires.

Symbol:: F
Latex:: \(F\)
Dimension:: force

absolute_permeability¶: absolute_permeability of the medium.

Symbol:: mu
Latex:: \(\mu\)
Dimension:: inductance/length

first_current¶: current in the first wire.

Symbol:: I_1
Latex:: \(I_{1}\)
Dimension:: current

second_current¶: current in the second wire.

Symbol:: I_2
Latex:: \(I_{2}\)
Dimension:: current

length¶: length of the wires.

Symbol:: l
Latex:: \(l\)
Dimension:: length

distance¶: Perpendicular euclidean_distance between the wires.

Symbol:: d
Latex:: \(d\)
Dimension:: length

law¶

F = mu * I_1 * I_2 * l / (2 * pi * d)

Latex:: \[F = \frac{\mu I_{1} I_{2} l}{2 \pi d}\]