Magnetic capacitivity
Encyclopedia
Magnetic capacitivity is a component used in the gyrator-capacitor model
Gyrator-capacitor model
The gyrator-capacitor modelis a lumped-element model for magnetic fields, similar to magnetic circuits, but based on using elements analogous to capacitors rather than elements analogous to resistors to represent the magnetic flux path...

 of magnetic systems.

This element, denoted as , is an extensive property and is defined as:



Where:
is the magnetic permeability
Permeability (electromagnetism)
In electromagnetism, permeability is the measure of the ability of a material to support the formation of a magnetic field within itself. In other words, it is the degree of magnetization that a material obtains in response to an applied magnetic field. Magnetic permeability is typically...

,
is the element cross-section, and 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
Magnetic potential
The term magnetic potential can be used for either of two quantities in classical electromagnetism: the magnetic vector potential, A, and the magnetic scalar potential, ψ...

 across the element.



Where: is the difference of the magnetic potential
Magnetic potential
The term magnetic potential can be used for either of two quantities in classical electromagnetism: the magnetic vector potential, A, and the magnetic scalar potential, ψ...

s.

The notion of magnetic capacitivity is employed in the gyrator-capacitor model
Gyrator-capacitor model
The gyrator-capacitor modelis a lumped-element model for magnetic fields, similar to magnetic circuits, but based on using elements analogous to capacitors rather than elements analogous to resistors to represent the magnetic flux path...

 in a way analogous to capacitance
Capacitance
In electromagnetism and electronics, capacitance is the ability of a capacitor to store energy in an electric field. Capacitance is also a measure of the amount of electric potential energy stored for a given electric potential. A common form of energy storage device is a parallel-plate capacitor...

in electrical circuits.
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