Matching law - Revision history

en>Paine Ellsworth: /* top */ grammar

2014-04-01T00:55:23Z

top: grammar

← Older revision		Revision as of 02:55, 1 April 2014
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	In [~~[electrical engineering~~]~~], electrical terms are associated into pairs called '''duals'''~~. ~~A dual of a relationship is formed by interchanging voltage and current~~ in ~~an expression.~~ ~~The dual expression thus produced is of the same form, and the reason that the dual is always a valid statement can be traced to the~~ [~~[Duality (electricity and magnetism)\|duality of electricity and magnetism]]~~.		[http://Autos.aol.com/article/whats-in-car-warranty/ Royal Votaw] is my name but I never truly favored that name. He currently lives in [http://wp.shizzlaz.eu/index.php?mod=users&action=view&id=23474 extended auto warranty] [http://www.empredators.de/index.php?mod=users&action=view&id=10734 extended car warranty] [https://Www.chevrolet.com/owners/warranty.html warranty Arizona] and his parents live nearby. She functions as a financial officer and she will car warranty not alter it whenever quickly. The preferred pastime for him and his children is to generate and auto warranty now he is attempting to earn cash with it.<br><br>Also visit my web-site ... [http://Beta.westernstatesfireequipment.com/ActivityFeed/MyProfile/tabid/93/userId/1095/Default.aspx vehicle extended warranty]

	~~Here is a partial list of electrical dualities:~~

	* [[voltage]] &~~mdash; [[Electric current\|current]]~~
	* [[Series and parallel circuits\|parallel &~~mdash; serial~~]~~] (circuits)~~
	* [~~[Electrical resistance\|resistance]]~~ &~~mdash; [[Electrical conductance\|conductance]]~~
	* [[Electrical impedance\|impedance]] &~~mdash; [[admittance]~~]
	* [~~[capacitance]] — [[inductance]]~~
	* [[Reactance (electronics)\|reactance]] — [[susceptance]]
	* [[short circuit]] — [[open circuit]]
	* [[Kirchhoff's current law]] — [[Kirchhoff's voltage law]].
	* [[Thévenin's theorem]] — [[Norton's theorem]]

	~~==History==~~
	The ~~use of duality in [[circuit theory]]~~ is ~~due~~ to ~~Alexander Russell who published his ideas in 1904~~.<~~ref~~>~~Belevitch, V, "Summary of the history of circuit theory", ''Proceedings of the IRE'', '''vol 50''', Iss 5, pp.848~~-~~855, May 1962 {{doi\|10~~.~~1109/JRPROC~~.~~1962~~.~~288301}}.</ref><ref>Alexander Russell, ''A Treatise on the Theory of Alternating Currents'', volume 1, chapter XXI, Cambridge~~: ~~University Press 1904 {{OCLC\|264936988}}.<~~/~~ref>~~

	~~== Examples ==~~
	~~=== Constitutive relations ===~~

	* Resistor and conductor (Ohm's law)

	~~:: <math>v=iR \iff i=vG \, <~~/~~math>~~

	* Capacitor and inductor – differential form

	~~:: <math>i_C=C\frac{d}{dt}v_C \iff v_L=L\frac{d}{dt}i_L<~~/~~math>~~

	* Capacitor and inductor – integral form

	~~:: <math>v_C(t) = V_0 + {1 \over C}\int_{0}^{t} i_C(\tau) \, d\tau \iff i_L(t) = I_0 + {1 \over L}\int_{0}^{t} v_L(\tau) \, d\tau <~~/~~math>~~

	~~=== Voltage division — current division ===~~

	~~:<math>v_{R_1}=v\frac{R_1}{R_1 + R_2} \iff i_{G_1}=i\frac{G_1}{G_1 + G_2}<~~/~~math>~~

	~~=== Impedance and admittance ===~~

	* Resistor and conductor

	~~:: <math>Z_R = R \iff Y_G = G <~~/~~math>~~

	~~:: <math>Z_G = {1 \over G } \iff Y_R = { 1 \over R } <~~/~~math>~~

	* Capacitor and inductor

	~~:: <math> Z_C = {1 \over Cs} \iff Y_L = {1 \over Ls} <~~/~~math>~~

	~~:: <math> Z_L = Ls \iff Y_c = Cs<~~/~~math>~~

	~~==See also==~~

	*[[Duality (electricity and magnetism)]]
	*[[Duality (mechanical engineering)]]
	*[[Dual impedance]]

	~~==References==~~
	~~{{reflist}}~~
	* Turner, Rufus P, ''Transistors Theory and Practice'', Gernsback Library, Inc, New York, 1954, Chapter 6.

	~~[[Category:Electrical engineering]]~~
	~~[[Category:Duality theories\|Electrical circuits]~~]

en>Smolkowski: The reference to The Matching Law paper in Psychological Record was incorrect in two places.

2014-01-17T19:24:15Z

The reference to The Matching Law paper in Psychological Record was incorrect in two places.

← Older revision		Revision as of 21:24, 17 January 2014
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	~~The title~~ [~~http://www~~.~~cars~~.~~com/go/advice/Story~~.~~jsp?section=buy~~&~~story=usedWarranty~~&~~subject=warranty auto warranty~~] ~~of the~~ [~~http://royalcajun~~.~~com/UserProfile/tabid/57/userId/17325/Default.aspx extended auto warranty~~] [~~http://makemoneyonline.net.~~in~~/blogs/post/9758 auto warranty~~] ~~writer~~ is ~~Garland~~. ~~The favorite pastime for him and his kids is to drive and now he is attempting to earn money with it~~. ~~Alabama is exactly where he and his spouse reside and he has every thing that he requirements there~~. ~~Meter studying is where my main earnings [http:~~/~~/Www~~.~~Volvocars~~.~~com~~/us/~~sales-services~~/~~sales~~/~~volvo_certified_preowned~~/~~Pages~~/~~default.aspx arrives] from but quickly I'll be on [http~~://~~www.5starwarranty.com auto warranty] my own.~~<br><br>~~Feel free to surf to my blog post - [http~~:/~~/Www.Team-Qnak.com/qnak/index.php?mod~~=~~users&action~~=~~view&id~~=~~8348 team-qnak~~.~~com~~]		In [[electrical engineering]], electrical terms are associated into pairs called '''duals'''. A dual of a relationship is formed by interchanging voltage and current in an expression. The dual expression thus produced is of the same form, and the reason that the dual is always a valid statement can be traced to the [[Duality (electricity and magnetism)\|duality of electricity and magnetism]].

			Here is a partial list of electrical dualities:

			* [[voltage]] — [[Electric current\|current]]
			* [[Series and parallel circuits\|parallel — serial]] (circuits)
			* [[Electrical resistance\|resistance]] — [[Electrical conductance\|conductance]]
			* [[Electrical impedance\|impedance]] — [[admittance]]
			* [[capacitance]] — [[inductance]]
			* [[Reactance (electronics)\|reactance]] — [[susceptance]]
			* [[short circuit]] — [[open circuit]]
			* [[Kirchhoff's current law]] — [[Kirchhoff's voltage law]].
			* [[Thévenin's theorem]] — [[Norton's theorem]]

			==History==
			The use of duality in [[circuit theory]] is due to Alexander Russell who published his ideas in 1904.<ref>Belevitch, V, "Summary of the history of circuit theory", ''Proceedings of the IRE'', '''vol 50''', Iss 5, pp.848-855, May 1962 {{doi\|10.1109/JRPROC.1962.288301}}.</ref><ref>Alexander Russell, ''A Treatise on the Theory of Alternating Currents'', volume 1, chapter XXI, Cambridge: University Press 1904 {{OCLC\|264936988}}.</ref>

			== Examples ==
			=== Constitutive relations ===

			* Resistor and conductor (Ohm's law)

			:: <math>v=iR \iff i=vG \, </math>

			* Capacitor and inductor – differential form

			:: <math>i_C=C\frac{d}{dt}v_C \iff v_L=L\frac{d}{dt}i_L</math>

			* Capacitor and inductor – integral form

			:: <math>v_C(t) = V_0 + {1 \over C}\int_{0}^{t} i_C(\tau) \, d\tau \iff i_L(t) = I_0 + {1 \over L}\int_{0}^{t} v_L(\tau) \, d\tau </math>

			=== Voltage division — current division ===

			:<math>v_{R_1}=v\frac{R_1}{R_1 + R_2} \iff i_{G_1}=i\frac{G_1}{G_1 + G_2}</math>

			=== Impedance and admittance ===

			* Resistor and conductor

			:: <math>Z_R = R \iff Y_G = G </math>

			:: <math>Z_G = {1 \over G } \iff Y_R = { 1 \over R } </math>

			* Capacitor and inductor

			:: <math> Z_C = {1 \over Cs} \iff Y_L = {1 \over Ls} </math>

			:: <math> Z_L = Ls \iff Y_c = Cs</math>

			==See also==

			*[[Duality (electricity and magnetism)]]
			*[[Duality (mechanical engineering)]]
			*[[Dual impedance]]

			==References==
			{{reflist}}
			* Turner, Rufus P, ''Transistors Theory and Practice'', Gernsback Library, Inc, New York, 1954, Chapter 6.

			[[Category:Electrical engineering]]
			[[Category:Duality theories\|Electrical circuits]]

140.180.26.109 at 22:45, 15 June 2012

2012-06-15T22:45:40Z

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