Magnetic field due to infinite wire

The magnitude of the magnetic flux density due to a thin, straight, infinite wire depends on the current through it and the radial distance to the wire.

Notation:

1. \(\mu_0\) (mu_0) is vacuum_permeability.

Conditions:

1. The wire is uniform, straight, and thin.

2. The vector of the magnetic flux density is oriented in space according to the right-hand rule.

Links:

1. Physics LibreTexts, formula in the box.

magnetic_flux_density

Magnitude of magnetic_flux_density.

Symbol:

B

Latex:

\(B\)

Dimension:

magnetic_density

absolute_permeability

absolute_permeability of the medium around the wire.

Symbol:

mu

Latex:

\(\mu\)

Dimension:

inductance/length

current

current flowing through the wire.

Symbol:

I

Latex:

\(I\)

Dimension:

current

radial_distance

Radial distance to wire. See distance_to_axis.

Symbol:

r

Latex:

\(r\)

Dimension:

length

law

B = mu * I / (2 * pi * r)

Latex:

\[B = \frac{\mu I}{2 \pi r}\]