Magnetic capacitivity

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 $C_M$

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