# Magnetic field of two Helmholtz coils

To setup a Helmholtz coil two similar coils with radius R are placed in the same distance R. When the coils are so connected that the current through the coils flows in the same direction, the Helmholtz coils produce a region with a nearly uniform magnetic field.

The magnetic field at center of the coils with N wire windings is proportional to current through coils:

$I$ = coil current, $\mu_0$ = vacuum permeability, N = windings, $R$ = radius and distance of coils

The magnetic field of the Helmholtz coil used on the next pages, depending on the coil current $I$, is:$$\bbox[5px,border:2px solid red]{B\approx 7,48\cdot 10^{-4}\frac{\text T}{\text A}\cdot I}$$$I$ = coil current, $\mu_0 = 4\pi \cdot 10^{-7} \frac{\text N}{{\text{A}}^2}$, N = 124 windings, $R$ = 14,9 cm