Magnetic capacitivity

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Magnetic capacitivity – is a scalar measure of permeance for an element in a magnetic circuit, numerically equal to the magnetic conductivity for a magnetic flux or to relation between this magnetic flux and the difference of the magnetic potentials across this element. It is closely related to the notion of inductance, and is opposite of magnetic reluctance.

Magnetic capacitivity $C M$ , is measured in henries [H], and is determined by the magnetic properties, size and shape of an element acting as a magnetic medium in the path of a magnetic flux [1, 2]. For a homogeneous element in a magnetic circuit:

$C_M = \mu \mu_0\frac{S}{l}$

where $μμ 0$ is the magnetic permeability, $S$ , $l$ is the cross-section and the length of the element.

In the case of harmonic regimes the magnetic permeability [1] and accordingly the magnetic capacitivity are complex values [1, 2].

The term magnetic capacitivity refers to the capacity of an ideal element of a magnetic circuit, as a quantitative characteristic of that defines its ability to store the energy of an magnetic field.

Accordingly

$C_{M} = \frac{\Phi}{\phi_{M1}-\phi_{M2}}$

where $φ M 1 - φ M 2$ is the difference of the magnetic potentials.

The notion of magnetic capacitivity is employed in analysis and computation of magnetic circuits similarly to Ohm's Law along with using of the notion of magnetic capacitance to magnetic current, and also for the resonance contours with magnetic capacitivity and magnetic inductivity.