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Magnetic Permeability




In SI units, permeability is measured in Henry s per Metre , or Newton s per Ampere squared. The constant value μ0 is known as the Magnetic Constant or the '''permeability of vacuum''', and has the ''exact'' value μ0 = 4π×10−7 N/A2.

Some materials, called Ferromagnetic or Ferromagnet s, are highly Magnetic by nature, relative to most materials. They are composed of a large number of very small magnetic units working together called Domains . Domains are not always aligned, and they often act against each other to reduce the strength of the net magnetic field.

If one puts the ferromagnetic material into an externally applied magnetic field, the domains tend to line up, so that the sum of the fields from the ferromagnet and the applied magnetic field is higher in magnitude than the applied magnetic field alone.

Permeability in linear materials owes its existence to the approximation:
: \mathbf{M}=\chi_m\mathbf{H}
where \chi_m \, is a dimensionless scalar called the Magnetic Susceptibility .

According to the definition of the auxiliary field, H
:\mathbf{B}=\mu_0 (\mathbf{H}+\mathbf{M})=\mu_0 (1 + \chi_m)\mathbf{H} = \mu \mathbf{H}
where
μ

:B is the Magnetic Flux Density (also called the Magnetic Induction ) in the material, measured in Teslas
:H is the auxiliary field strength, measured in Ampere s per Metre
:M is the material's magnetization, measured in Ampere s per Metre

The Permittivity of free space (the electric constant) and the magnetic constant are related to the Speed Of Light (''c'') by the formula: arepsilon_0\mu_0 = rac{1}{c^2}

Relative permeability, sometimes denoted by the symbol ''μr'', is the ratio of the permeability of a specific medium to the permeability of free space μ0:

:\mu_{r} = rac{\mu}{\mu_{0}}

In terms of relative permeability, the magnetic susceptibility is:

:\chi_m = \mu_r - 1 \,


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