Magnetic capacitivity

Magnetic Circuits
Conventional Magnetic Circuits Magnetomotive force $\mathcal F$ Magnetic flux Φ Magnetic reluctance $\mathcal R$
Phasor Magnetic Circuits Complex reluctance Zμ
Related Concepts Magnetic permeability μ
Gyrator-capacitor model variables Magnetic impedance zM Effective resistance rM Magnetic inductivity LM Magnetic capacitivity CM
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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_M, is an extensive property and is defined as:

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

Where: μ_rμ₀ = μ 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:

ϕ_M1 − ϕ_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).