Magnetic capacitivity

From Wikipedia, the free encyclopedia

Magnetic circuits
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 $z_{M}$ Effective resistance $r_{M}$ Magnetic inductivity $L_{M}$ Magnetic capacitivity $C_{M}$
This box: view talk edit

Magnetic capacitivity (SI Unit: H) is a component used in the gyrator-capacitor model of magnetic systems.

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

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

Where: $\mu _{r}\mu _{0}=\mu$ 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.

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

Where:

$\phi _{{M1}}-\phi _{{M2}}$ 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.
Popov V. P. The Principles of Theory of Circuits. – M.: Higher School, 1985, 496 p. (In Russian).

This article is issued from Wikipedia. The text is available under the Creative Commons Attribution/Share Alike; additional terms may apply for the media files.