# Magnetic Force between Parallel Conductors

on . Posted in Electromagnetism

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

$$\large{ F_m = \frac { \mu_o \; I_1 \; I_2 } { 2\; \pi \; d } }$$
Symbol English Metric
$$\large{ F_m }$$ = magnetic force $$\large{\frac{lbm-ft}{sec^2}}$$ $$N$$
$$\large{ d }$$ = distance between the wires $$\large{ft}$$ $$\large{m}$$
$$\large{ I_1 }$$ = wire current (amp) 1 $$\large{I}$$ $$\large{\frac{C}{s}}$$
$$\large{ I_2 }$$ = wire current (amp) 2 $$\large{I}$$ $$\large{\frac{C}{s}}$$
$$\large{ \mu_o }$$  (Greek symbol mu) = magnetic constant - $$\large{\frac{H}{m}}$$
$$\large{ \pi }$$ = PI $$\large{3.141 592 653 ...}$$