Magnetic inductance

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Magnetic Circuits M

Magnetomotive force \mathfrak F
Magnetic flux Φ
Magnetic tension force
Magnetic permeability μ
Zμ = zμejφ
Complex reluctance Zμ
Magnetic reluctance zμ
z_M^2 = r_M^2 + x_M^2
Magnetic impedance zM
Effective resistance rM
Reactive resistance xM
xM = xLxC
Inductive reactance xL
Capacitive reactance xC
xL = ωLM
x_C = \left(\omega C_M\right)^{-1}
Magnetic inductivity LM
Magnetic capacitivity CM
Magnetic inductance is not to be confused with "Magnetic induction", which usually refers to Magnetic field.

Magnetic inductance (inductive magnetic reactance) is the magnetic voltage to magnetic current, which is attributed by the magnetic self-inductivity of the element of an magnetic circuit and for harmonic regimes is equal to the product of this magnetic inductivity and the angular frequency.

For harmonic regimes the magnetic inductance is denoting xL = ωLM and is measuring in the units - [\frac{1}{\Omega}]. In the complex form it is writing as the positive imaginary number jxL = jωLM . The energy, which is bounding with magnetic inductivity, in course of a period experiences the oscillations and transfers from source to electric field and back, thereby an average power for period is equal to zero. Therefore a magnetic inductance is naming as reactive value [1, 2].

Quantitatively a magnetic inductance has a significance for very-high and ultrahigh working frequencies in the concentrated elements and systems with the distributed parameters.

[edit] 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).
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