Magnetic capacitivity

Magnetic circuits
Part of a series on
Conventional magnetic circuits
Magnetomotive force ${\mathcal {F}}$ Magnetic flux $\Phi$ Magnetic reluctance $\mathcal R$
Phasor magnetic circuits
Complex reluctance $Z_\mu$
Related concepts
Magnetic permeability $\mu$
Gyrator-capacitor model variables
Magnetic impedance $z_\mathrm{M}$ Effective resistance $r_\mathrm{M}$ Magnetic inductivity $L_\mathrm{M}$ Magnetic capacitivity $C_\mathrm{M}$
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Magnetic capacitivity (SI Unit: H) is a component used in the gyrator-capacitor model of magnetic systems.

This element, denoted as $C_\mathrm{M}$ , is an extensive property and is defined as:

$C_{\mathrm {M} }=\mu _{\mathrm {r} }\mu _{0}{\frac {S}{l}}$

Where: $\mu _{\mathrm {r} }\mu _{0}=\mu$ is the magnetic permeability, $S$ is the element cross-section, and $l$ is the element length.

For phasor analysis, the magnetic permeability^[1] and the magnetic capacitivity are complex values.^[1]^[2]

Magnetic capacitivity is also equal to magnetic flux divided by the difference of magnetic potential across the element.

$C_{\mathrm {M} }={\frac {\Phi }{\phi _{\mathrm {M1} }-\phi _{\mathrm {M2} }}}$

Where:

\phi _{\mathrm {M1} }-\phi _{\mathrm {M2} }

is the difference of the magnetic potentials.

The notion of magnetic capacitivity is employed in the gyrator-capacitor model in a way analogous to capacitance in electrical circuits.

References

Arkadiew W. Eine Theorie des elektromagnetischen Feldes in den ferromagnetischen Metallen. – Phys. Zs., H. 14, No 19, 1913, S. 928-934.</ref>

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1 2 3 4 Arkadiew W. Eine Theorie des elektromagnetischen Feldes in den ferromagnetischen Metallen. – Phys. Zs., H. 14, No 19, 1913, S. 928-934.
1 2 3 4 Popov V. P. The Principles of Theory of Circuits. – M.: Higher School, 1985, 496 p. (In Russian).

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