Capacitance - Revision history

Jmdonev: 1 revision imported

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Energy>Jmdonev at 20:26, 30 January 2020

2020-01-30T20:26:10Z

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	[[Category:Done ~~2018~~-07-20]]		[[Category:Done 2020-01-31]]
	[[File:capacitor4.png\|400px\|framed\|right\|Figure 1. Drawing of a capacitor with the capacitance, 400 microfarads, marked on the side.<ref>"Electrolytic Capacitor, Radial, 16x30 (Coloured)" Licensed under Public Domain via Wikimedia Commons - http://commons.wikimedia.org/wiki/File:Electrolytic_Capacitor,_Radial,_16x30_(Coloured).svg#/media/File:Electrolytic_Capacitor,_Radial,_16x30_(Coloured).svg</ref>]]		[[File:capacitor4.png\|400px\|framed\|right\|Figure 1. Drawing of a capacitor with the capacitance, 400 microfarads, marked on the side.<ref>"Electrolytic Capacitor, Radial, 16x30 (Coloured)" Licensed under Public Domain via Wikimedia Commons - http://commons.wikimedia.org/wiki/File:Electrolytic_Capacitor,_Radial,_16x30_(Coloured).svg#/media/File:Electrolytic_Capacitor,_Radial,_16x30_(Coloured).svg</ref>]]
	<onlyinclude>'''Capacitance''' is the ability of an object or material to store an electric [[charge]]. Specifically, it is a measure of an isolated [[conductor]]'s ability to store charge at a given [[voltage difference]].</onlyinclude><ref name = A>P. Tipler and G. Mosca, "Electrostatic Energy and Capacitance," in ''Physics for Scientists and Engineers Volume 2,'' 5th ed. Freeman, ch. 24, pp. 752-755</ref> In this sense, an object's capacitance is the ratio between its charge at a particular voltage difference and that voltage difference. Functionally, this leads to capacitance also being a measure of how much [[energy]] a [[capacitor#Energy in a capacitor\|capacitor can store]].		<onlyinclude>'''Capacitance''' is the ability of an object (material in a particular geometry) to store an electric [[charge]]. Specifically, it is a measure of an isolated [[conductor]]'s ability to store charge at a given [[voltage difference]].</onlyinclude><ref name = A>P. Tipler and G. Mosca, "Electrostatic Energy and Capacitance," in ''Physics for Scientists and Engineers Volume 2,'' 5th ed. Freeman, ch. 24, pp. 752-755</ref> In this sense, an object's capacitance is the ratio between its charge at a particular voltage difference and that voltage difference. Functionally, this leads to capacitance also being a measure of how much [[energy]] a [[capacitor#Energy in a capacitor\|capacitor can store]].

	Often a capacitance is thought of as being the physical property of a [[capacitor]] that has two conducting plates close to each other. The capacitance is described mathematically as:		Often a capacitance is thought of as being the physical property of a [[capacitor]] that has two conducting plates close to each other. The capacitance is described mathematically as:

Jmdonev: 1 revision imported

2018-07-21T01:12:57Z

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Jmdonev at 02:07, 13 July 2018

2018-07-13T02:07:57Z

← Older revision		Revision as of 02:07, 13 July 2018
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	[[Category:Done ~~2015~~-04-01]]		[[Category:Done 2018-07-20]]
	[[File:capacitor4.png\|400px\|framed\|right\|Figure 1. Drawing of a capacitor with the capacitance, 400 microfarads, marked on the side.<ref>"Electrolytic Capacitor, Radial, 16x30 (Coloured)" Licensed under Public Domain via Wikimedia Commons - http://commons.wikimedia.org/wiki/File:Electrolytic_Capacitor,_Radial,_16x30_(Coloured).svg#/media/File:Electrolytic_Capacitor,_Radial,_16x30_(Coloured).svg</ref>]]		[[File:capacitor4.png\|400px\|framed\|right\|Figure 1. Drawing of a capacitor with the capacitance, 400 microfarads, marked on the side.<ref>"Electrolytic Capacitor, Radial, 16x30 (Coloured)" Licensed under Public Domain via Wikimedia Commons - http://commons.wikimedia.org/wiki/File:Electrolytic_Capacitor,_Radial,_16x30_(Coloured).svg#/media/File:Electrolytic_Capacitor,_Radial,_16x30_(Coloured).svg</ref>]]
	<onlyinclude>'''Capacitance''' is the ability of an object or material to store an electric [[charge]]. Specifically, it is a measure of an isolated [[conductor]]'s ability to store charge at a given [[voltage difference]].</onlyinclude><ref name = A>P. Tipler and G. Mosca, "Electrostatic Energy and Capacitance," in ''Physics for Scientists and Engineers Volume 2,'' 5th ed. Freeman, ch. 24, pp. 752-755</ref> In this sense, an object's capacitance is the ratio between its charge at a particular voltage difference and that voltage difference. Functionally, this leads to capacitance also being a measure of how much [[energy]] ~~can be~~ [[capacitor#Energy in a capacitor\|~~stored in a~~ capacitor]].		<onlyinclude>'''Capacitance''' is the ability of an object or material to store an electric [[charge]]. Specifically, it is a measure of an isolated [[conductor]]'s ability to store charge at a given [[voltage difference]].</onlyinclude><ref name = A>P. Tipler and G. Mosca, "Electrostatic Energy and Capacitance," in ''Physics for Scientists and Engineers Volume 2,'' 5th ed. Freeman, ch. 24, pp. 752-755</ref> In this sense, an object's capacitance is the ratio between its charge at a particular voltage difference and that voltage difference. Functionally, this leads to capacitance also being a measure of how much [[energy]] a [[capacitor#Energy in a capacitor\|capacitor can store]].

	Often a capacitance is thought of as being the physical property of a [[capacitor]] that has two conducting plates close to each other. The capacitance is described mathematically as:		Often a capacitance is thought of as being the physical property of a [[capacitor]] that has two conducting plates close to each other. The capacitance is described mathematically as:
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	<br />		<br />

	<center><m> C = \frac{q}{V} </m></center>		<center><math> C = \frac{q}{V} </math></center>

	:::* <m>C</m> is the capacitance, measured in farads		:::* <math>C</math> is the capacitance, measured in farads
	:::* <m>q</m> is the charge that is on the positive plate of the capacitor, measured in [[coulomb]]s		:::* <math>q</math> is the charge that is on the positive plate of the capacitor, measured in [[coulomb]]s
	:::* <m>V</m> is the [[voltage]] of the conductor, measured in [[volt]]s		:::* <math>V</math> is the [[voltage]] of the conductor, measured in [[volt]]s
	<br />		<br />

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	<center><m>C = \frac{\varepsilon_{0} \varepsilon_{r} A} {d}</m></center>		<center><math>C = \frac{\varepsilon_{0} \varepsilon_{r} A} {d}</math></center>

	:::* <m>C</m> is the capacitance, measured in [[farad]]s (F)		:::* <math>C</math> is the capacitance, measured in [[farad]]s (F)
	:::* <m>\varepsilon_{0}</m> is a constant called the [[permittivity of free space]] = 8.854188x10<sup>-12</sup> F/m <ref> A. D. McNaught and A. Wilkinson. (2012, September 8). ''Permmittivity of vacuum'' <nowiki>[Online]</nowiki>. Available: http://goldbook.iupac.org/P04508.html</ref>		:::* <math>\varepsilon_{0}</math> is a constant called the [[permittivity of free space]] = 8.854188x10<sup>-12</sup> F/m <ref> A. D. McNaught and A. Wilkinson. (2012, September 8). ''Permmittivity of vacuum'' <nowiki>[Online]</nowiki>. Available: http://goldbook.iupac.org/P04508.html</ref>
	:::* <m>\varepsilon_{r}</m> is the relative permittivity of the material between the plates		:::* <math>\varepsilon_{r}</math> is the relative permittivity of the material between the plates
	:::* <m>A</m> is the surface area of the plates of the capacitor, measured in square [[metre]]s (m<sup>2</sup>)		:::* <math>A</math> is the surface area of the plates of the capacitor, measured in square [[metre]]s (m<sup>2</sup>)
	:::* <m>d</m> is the distance between the plates, measured in metres (m)		:::* <math>d</math> is the distance between the plates, measured in metres (m)
	<br />		<br />
	The equation shows that the capacitance is influenced by the dimensions of the capacitor.		The equation shows that the capacitance is influenced by the dimensions of the capacitor.

			==For Further Reading==
			*[[Capacitor]]
			*[[Conductor]]
			*[[Voltage difference]]
			*[[Coulomb]]
			*[[Voltage]]
			*Or explore a [[Special:Random\|random page]]

	==References==		==References==
	{{Reflist}}		{{Reflist}}
	[[Category:Uploaded]]		[[Category:Uploaded]]

J.williams: 1 revision imported

2015-08-26T21:30:53Z

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J.williams at 16:51, 12 August 2015

2015-08-12T16:51:37Z

New page

[[Category:Done 2015-04-01]]
[[File:capacitor4.png|400px|framed|right|Figure 1. Drawing of a capacitor with the capacitance, 400 microfarads, marked on the side.<ref>"Electrolytic Capacitor, Radial, 16x30 (Coloured)" Licensed under Public Domain via Wikimedia Commons - http://commons.wikimedia.org/wiki/File:Electrolytic_Capacitor,_Radial,_16x30_(Coloured).svg#/media/File:Electrolytic_Capacitor,_Radial,_16x30_(Coloured).svg</ref>]]
<onlyinclude>'''Capacitance''' is the ability of an object or material to store an electric [[charge]]. Specifically, it is a measure of an isolated [[conductor]]'s ability to store charge at a given [[voltage difference]].</onlyinclude><ref name = A>P. Tipler and G. Mosca, "Electrostatic Energy and Capacitance," in ''Physics for Scientists and Engineers Volume 2,'' 5th ed. Freeman, ch. 24, pp. 752-755</ref> In this sense, an object's capacitance is the ratio between its charge at a particular voltage difference and that voltage difference. Functionally, this leads to capacitance also being a measure of how much [[energy]] can be [[capacitor#Energy in a capacitor|stored in a capacitor]].

Often a capacitance is thought of as being the physical property of a [[capacitor]] that has two conducting plates close to each other. The capacitance is described mathematically as:
 
 

<center><m> C = \frac{q}{V} </m></center>

:::* <m>C</m> is the capacitance, measured in farads
:::* <m>q</m> is the charge that is on the positive plate of the capacitor, measured in [[coulomb]]s
:::* <m>V</m> is the [[voltage]] of the conductor, measured in [[volt]]s
 

Capacitance is measured in [[farad]]s (F), with 1 farad representing 1 coulomb per volt. This means that if an isolated conductor had a capacitance of 1 farad and was charged with 1 coulomb, it would have a voltage of 1 volt on its surface. There is also an alternate way to determine the capacitance of a capacitor if its dimensions are known. If the area of the plates of the capacitor can be determined, the capacitance can be calculated from the expression:<ref>R. Kotz and M. Carlen, "Principles and applications of electrochemical capacitors," ''Electrochim. Acta'', vol. 45, no. 15-16, pp. 2483-2498, May 2000.</ref>
 
 

<center><m>C = \frac{\varepsilon_{0} \varepsilon_{r} A} {d}</m></center>

:::* <m>C</m> is the capacitance, measured in [[farad]]s (F)
:::* <m>\varepsilon_{0}</m> is a constant called the [[permittivity of free space]] = 8.854188x10-12 F/m <ref> A. D. McNaught and A. Wilkinson. (2012, September 8). ''Permmittivity of vacuum'' <nowiki>[Online]</nowiki>. Available: http://goldbook.iupac.org/P04508.html</ref>
:::* <m>\varepsilon_{r}</m> is the relative permittivity of the material between the plates
:::* <m>A</m> is the surface area of the plates of the capacitor, measured in square [[metre]]s (m2)
:::* <m>d</m> is the distance between the plates, measured in metres (m)
 
The equation shows that the capacitance is influenced by the dimensions of the capacitor.

==References==
{{Reflist}}
[[Category:Uploaded]]