## Dr. Ahmed G. Abo-Khalil

Electrical Engineering Department

## Magnetic capacitiv

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:

$C_M = mu_r mu_0frac{S}{l}$

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.

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a_galal@yahoo.com

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