Topological algebra: Difference between revisions

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{{MagneticCircuitSegments}}
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'''Magnetic capacitivity''' ([[SI Unit]]: [[Henry (unit)|H]]) is a component used in the [[gyrator-capacitor model]] of magnetic systems.  
 
This element, denoted as <math>C_M</math>, is an [[extensive property]] and is defined as:
 
<math>C_M = \mu_r \mu_0\frac{S}{l}</math>
 
Where:
<math>\mu_r \mu_0 = \mu</math> is the [[Permeability (electromagnetism)|magnetic permeability]], 
<math>S</math> is the element cross-section, and <math>l</math> 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.
 
<math>C_{M} = \frac{\Phi}{\phi_{M1}-\phi_{M2}}</math>
 
Where:
:<math>\phi_{M1}-\phi_{M2}</math> is the difference of the [[magnetic potential]]s.
 
The notion of magnetic capacitivity is employed in the [[gyrator-capacitor model]] in a way analogous to [[capacitance]] in electrical circuits.
 
==References==
{{Refbegin}}
*Arkadiew W. ''Eine Theorie des elektromagnetischen Feldes in den ferromagnetischen Metallen''. – Phys. Zs., H. 14, No 19, 1913, S. 928-934.
*Popov V. P.  ''The Principles of Theory of Circuits''. – M.: Higher School, 1985, 496 p. (In Russian).
{{Refend}}
 
[[Category:Magnetic circuits]]
 
 
{{physics-stub}}

Latest revision as of 16:49, 25 November 2014

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