# Formula: Lorentz Force Between Two Current-Carrying Wires Magnetic force    Electric current    Length    Distance

## Magnetic force

Unit
The magnetic part of the Lorentz force acts on a current-carrying wire because it is in the magnetic field generated by the other current-carrying wire.

Parallel, thin wires experience an equal force. Depending on the direction of the electric current, the force is either repulsive or attractive.

## Electric current

Unit
Charge per unit time flowing through the first wire.

## Electric current

Unit
Charge per unit time flowing through the second wire.

## Length

Unit
The longer the wire, the larger is the Lorentz force on this conductor. Here it is assumed that the two wires are equal in length!

## Distance

Unit
Distance between the two parallel wires.

## Vacuum permeability

Unit
The vacuum permeability is a physical constant and has the following experimentally determined value: $$\mu_0 ~=~ 1.256 \, 637 \, 062 \, 12 ~\cdot~ 10^{-6} \, \frac{\mathrm{Vs}}{\mathrm{Am}}$$

## Number Pi

Unit
Number Pi is a mathematical constant and has the value $$\pi ~=~ 3.1415926...$$.

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