Magnetic capacitivity

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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_\mathrm{M}, is an extensive property and is defined as:

C_\mathrm{M} = \mu_\mathrm{r} \mu_0\frac{S}{l}

Where: \mu_\mathrm{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_\mathrm{M} = \frac{\Phi}{\phi_\mathrm{M1}-\phi_\mathrm{M2}}


\phi_\mathrm{M1}-\phi_\mathrm{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.


  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).