# Magnetic capacitivity

Magnetic circuits

Conventional magnetic circuits

Phasor magnetic circuits

Related concepts

Gyrator-capacitor model variables

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

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