Variational Bayesian methods

Permeance, in general, is the degree to which a material admits a flow of matter or energy. Permeance is usually represented by a curly (calligraphic) capital P: $\mathcal{𝒫}$, or capital lambda Λ.

Electromagnetism

In Electromagnetism, permeance is the inverse of reluctance. Permeance is a measure of the quantity of flux for a number of current-turns in magnetic circuit. A magnetic circuit almost acts as though the flux is 'conducted', therefore permeance is larger for large cross sections of a material and smaller for longer lengths. This concept is analogous to electrical conductance in the electric circuit.

Magnetic permeance $\mathcal{𝒫}$ is defined as the reciprocal of magnetic reluctance $\mathcal{ℛ}$ (in analogy with the reciprocity between electric conductance and resistance):

$\mathcal{𝒫}=\frac{1}{\mathcal{ℛ}}$

which can also be re-written:

$\mathcal{𝒫}=\frac{\mathrm{\Phi }}{NI}$

using Hopkinson's law (magnetic circuit analogue of Ohm's law for electric circuits) and the definition of magnetomotive force (magnetic analogue of electromotive force):

$\mathcal{ℱ}={\mathrm{\Phi }}_B\mathcal{ℛ}=NI$

Where:
Φ_B = Magnetic flux
NI = Current-turns, (current) × (number of turns of conductor to make a coil).

Alternatively in terms of magnetic permeability (analogous to electric conductance):

$\mathcal{𝒫}=\frac{\mu A}{\ell }$

Where:
μ = Permeability of material
A = Cross-sectional area
$\ell$ = Length of conductor in circuit

The SI unit of magnetic permeance is "webers per ampere-turn", that is Wb A^-1.

Materials science

In Materials science, permeance is the degree to which a material transmits another substance.

See also

• Dielectric complex reluctance
• Reluctance

External articles and references

Electromagnetism

• Properties of Magnetic Materials (units of magnetic permeance)

Material science

• Bombaru, D., Jutras, R., and Patenaude, A., "Air Permeance of Building Materials". Summary report prepared by, AIR-INS Inc. for Canada Mortgage and Housing Corporation, Ottawa, 1988.

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