Calculator for the magnetic field strength

Calculates the magnetic field strength from flux density, or the other way around. Magnetic field strength and flux density are closely related, they can be converted into each other via vacuum permeability (or magnetic constant) and relative permeability. The formula is H = B / ( μ₀ * μ_r ) with the unit amperes per meter (A/m) for the field strength H and teslas for the flux density B. The vacuum permeability μ₀ is 1.2566370621219 * 10^-6 N/A². The relative permeability μ_r in vacuum is per definition 1. For the material used as a magnet, the value must be determined from the corresponding specifications; neodymium magnets have about 1.05, this value is predetermined.
Please enter flux density or field strength, the other value will be calculated. To get values in about the same magnitude, microteslas as unit is preset. To calculate with teslas, a suitable unit for the output is megaamperes per meter (MA/m).

Example: With a magnetic flux density of 10 microtesla and the given relative permeability, the magnetic field strength is just under 7.6 amperes per meter.

The magnetic flux density is the strength of a magnet per unit area. A square neodymium magnet with a width of one centimeter and a height of two millimeters, for example, has a magnetic flux density of approximately 0.4 tesla. Such neodymium magnets are the strongest permanent magnets.
The relative permeability is also known as magnetic conductivity. A high value is useful for good magnetic conductors, a low value for strong permanent magnets.
The magnetic field strength is the strength of the magnetic field. Here, it is calculated directly at the magnet. It decreases very rapidly with distance from the magnet, with the cube of the distance from the center of the magnet.