Magnetic capacitance

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 capacitance (capacitive magnetic reactance) (SI Unit: -Ω⁻¹) is a magnetic "reactance" which prevents magnetic "current" in oscillating magnetic circuits from rising. This is associated with high reluctance.

For harmonic regimes it is equal to:

x_C = \frac{1}{\omega C_M}

Where:

C_M

is the magnetic capacitivity (SI Unit: -s·Ω⁻¹)

\omega

is the angular frequency of the magnetic circuit

In complex form it is written as an imaginary number:

-jx_C = -j\frac{1}{\omega C_M} = \frac{1}{j\omega C_M}

The electrical potential energy sustained by magnetic capacitivity varies with the frequency of oscillations in magnetic fields. The average power in a given period is equal to zero. The magnetic capacitance is a reactive part of the magnetic circuit.^[1]^[2]

References

↑ Pohl R. W. ELEKTRIZITÄTSLEHRE. – Berlin-Gottingen-Heidelberg: SPRINGER-VERLAG, 1960.
↑ Popov V. P. The Principles of Theory of Circuits. – M.: Higher School, 1985, 496 p. (In Russian).