Rare Earth Magnet Basics / Glossary of Magnet Terms / Magnetic permeability

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Magnetic permeability
The value of the magnetic flux density B divided by the magnetic field H. The units are [H/m] for SI units and are an abstract number in the CGS units. The symbol is μ. The magnetic permeability in a vacuum is expressed as μ0. In the SI unit system, μ0 = 4π ×10-7 [H/m] and in the CGS unit system, μ0 = 1. On the other hand, the susceptibility is the magnetism polarization J divided by the magnetic field H and is written as χ[H/m]. (J = χH) Therefore, the magnetic flux density B = μ0H+J = (μ0+χ) H, so the magnetic permeability is the magnetic permeability in a vacuum and the magnetization ratio μ = (μ0+χ). Also, the ratio of the magnetic permeability μ and the magnetic permeability in a vacuum μ0 is called the specific magnetic permeability μr (=μ/μ0).
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