# Magnetic Force between Parallel Conductors

Written by Jerry Ratzlaff on . Posted in Electromagnetism

## Magnetic Force between Parallel Conductors

Each wire creates a magnetic field around the wire.  The force between the two wires is related to the current of the wires and the distance between the wires.

### Magnetic Force between Parallel Conductors Formula

$$F_m = \frac { \mu_o I_1 I_2 } { 2 \pi d }$$          $$magnetic \; force \;=\; \frac { magnetic \; constant \;\;x\;\; wire \; cirrent \;1 \;\;x\;\; wire \; current \; 2 } { 2 \;\;x\;\; \pi \;\;x\;\; distance }$$

Where:

$$F_m$$ = magnetic force

$$d$$ = distance between the wires

$$I_1$$ = wire current (amp) 1

$$I_2$$ = wire current (amp) 2

$$\pi$$ = PI

$$\mu_o$$ (Greek symbol mu) = magnetic constant ($$12.566370614e-7 N A^{-2}$$ )

Tags: Equations for Force