# Magnetic capacitance

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:

${\displaystyle x_{C}={\frac {1}{\omega C_{M}}}}$

Where:

${\displaystyle C_{M}}$ is the magnetic capacitivity (SI Unit: -s·Ω−1)
${\displaystyle \omega }$ is the angular frequency of the magnetic circuit

In complex form it is written as an imaginary number:

${\displaystyle -jx_{C}=-j{\frac {1}{\omega C_{M}}}={\frac {1}{j\omega C_{M}}}}$

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

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