en>Cydebot: Robot - Speedily moving category Nonassociative algebra to :Category:Non-associative algebra per CFDS.

2013-05-23T05:25:36Z

Robot - Speedily moving category Nonassociative algebra to Category:Non-associative algebra per CFDS.

← Older revision		Revision as of 07:25, 23 May 2013
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	~~Hello and welcome~~. ~~My title~~ is ~~Numbers Wunder~~. ~~One~~ of the ~~things she loves most~~ is to ~~do aerobics~~ and ~~now she~~ is ~~trying to make cash with it~~. ~~My working day occupation~~ is a ~~meter reader~~. ~~California~~ is ~~exactly~~ where ~~I've usually~~ been ~~residing and I adore each day living here.~~<br><br>~~Here~~ is ~~my website~~ - [http://~~telekomxchange~~.~~com~~/~~groups~~/~~prevent~~-~~infections~~-~~before~~-~~hand-using-these-tips/ at home std testing~~]		{{no footnotes\|date=June 2013}}

			'''Flux linkage''' is a property of a two-terminal element. Although it is often confused with '''[[magnetic flux]]''', the '''Flux linkage''' is actually an extension rather than an equivalent of '''magnetic flux'''. '''Flux linkage''' is defined as

			:<math>\lambda=\int_\, \mathcal{E}\, dt</math>

			where <math>\mathcal{E}</math> is the voltage across the device or the potential difference between the two terminals. This definition can also be written in differential form as

			:<math>\mathcal{E} = \frac{d\lambda}{dt}</math>

			[[Michael Faraday\|Faraday]] showed that the magnitude of the [[Electromotive force\|emf]] generated in a conductor forming a closed loop is proportional to the rate of change of the total magnetic flux passing through the loop ([[Faraday's law of induction\|Faraday's law]]). Thus, for a typical inductance (a coil of conducting wire), the flux linkage is equivalent to magnetic flux, which is the total magnetic field passing through the surface (i.e. normal to that surface) formed by a closed conducting loop coil, and is determined by the number of turns in the coil and the magnetic field，i.e.，

			:<math>\lambda=\int\limits_S\, \vec{B} \cdot dS</math>

			where <math>\vec{B}</math> is the [[flux Density\|flux density]], or flux per unit area at a given point in space.

			The simplest example of such a system is a single circular coil of conductive wire immersed in a magnetic field of constant magnitude at every point and with a direction perpendicular to the surface formed by the loop. In this case the flux linkage is simply the flux density passing through the loop multiplied by its surface area, i.e. <math>\lambda=\|\vec{B}\|\,A = BA</math>. If several turns of the wire are made, this becomes <math>\lambda=NBA</math> where N is the number of turns. In this case, the surface through which the magnetic flux is passing has been increased by a factor of <math>N</math>.

			Due to the equivalence of flux linkage and total magnetic flux in the case of inductance, it is popularly accepted that the flux linkage is simply an alternative term for total flux, used for convenience in engineering applications. Nevertheless, this is not true, especially for the case of [[memristor]], which is also referred to as the fourth fundamental circuit element. For a memristor, the electric field in the element is not as negligible as for the case of inductance, so the '''Flux linkage''' is no longer equivalent to '''magnetic flux'''. In addition, for a memristor, the flux linkage related energy is dissipated in the form of Joule heating, instead of being stored in magnetic field as done in the case of an inductance: there is no physical magnetic field involved as a link to anything! In conclusion, flux linkage should be interpreted as an extension rather than an equivalent to magnetic flux.

			Flux linkage is commonly used to estimate the magnetic flux of an [[AC motor\|AC machine]]. However, errors in the voltage measurement and the resulting drift problem of the integral cause the ideal integral to often be replaced with a [[low-pass filter]] approximation.

			==References==
			{{Commons category\|Memristors}}
			{{refbegin}}
			* [http://www.cpmt.org/scv/meetings/chua.pdf] L. O. Chua, "Memristor-The Missing Circuit Element," IEEE Trans. Circuit Theory, vol. CT_18, no. 5, pp. 507–519, 1971.
			* [http://www.waset.org/journals/waset/v60/v60-173.pdf] Q. Li, H. Xu, H. Liu, and X. Tian, "Variable-Relation Criterion for Analysis of the Memristor,", World Academy of Science, Engineering and Technology 60 2011.
			{{refend}}

			[[Category:Electromagnetism]]

en>Qetuth: more specific stub type

2012-01-01T12:21:21Z

more specific stub type

New page

Hello and welcome. My title is Numbers Wunder. One of the things she loves most is to do aerobics and now she is trying to make cash with it. My working day occupation is a meter reader. California is exactly where I've usually been residing and I adore each day living here.<br><br>Here is my website - [http://telekomxchange.com/groups/prevent-infections-before-hand-using-these-tips/ at home std testing]

Bol loop - Revision history

en>Cydebot: Robot - Speedily moving category Nonassociative algebra to :Category:Non-associative algebra per CFDS.

en>Qetuth: more specific stub type