Permittivity of free space - Revision history

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	<onlyinclude>The '''permittivity of free space''', '''ε<sub>0</sub>''', is a physical constant used often in [[electromagnetic force\|electromagnetism]]. It represents the capability of a [[vacuum]] to permit [[electric field]]s. It is also connected to the [[energy]] stored within an electric field and [[capacitance]]. Perhaps more surprisingly, it's fundamentally related to the speed of light.</onlyinclude> The permittivity of free space, '''ε<sub>0</sub>''', is defined as:<Ref name=hyp>Hyperphysics. (August 27, 2015). ''Electric and Magnetic Constants'' [Online], Available: http://hyperphysics.phy-astr.gsu.edu/hbase/electric/elefie.html</ref>		<onlyinclude>The '''permittivity of free space''', '''ε<sub>0</sub>''', is a physical constant used often in [[electromagnetic force\|electromagnetism]]. It represents the capability of a [[vacuum]] to permit [[electric field]]s. It is also connected to the [[energy]] stored within an electric field and [[capacitance]]. Perhaps more surprisingly, it's fundamentally related to the speed of light.</onlyinclude> The permittivity of free space, '''ε<sub>0</sub>''', is defined as:<Ref name=hyp>Hyperphysics. (August 27, 2015). ''Electric and Magnetic Constants'' [Online], Available: http://hyperphysics.phy-astr.gsu.edu/hbase/electric/elefie.html</ref>

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	==References==		==References==
	{{reflist}}		{{reflist}}
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Jmdonev at 23:08, 31 May 2018

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	<onlyinclude>The '''permittivity of free space''', '''ε<sub>0</sub>''', is a physical constant used often in [[electromagnetic force\|electromagnetism]]~~, and is~~ the capability of a [[vacuum]] to permit [[electric field]]s. It is also connected to the [[energy]] stored within an electric field and [[capacitance]].</onlyinclude>		<onlyinclude>The '''permittivity of free space''', '''ε<sub>0</sub>''', is a physical constant used often in [[electromagnetic force\|electromagnetism]]. It represents the capability of a [[vacuum]] to permit [[electric field]]s. It is also connected to the [[energy]] stored within an electric field and [[capacitance]]. Perhaps more surprisingly, it's fundamentally related to the speed of light.</onlyinclude> The permittivity of free space, '''ε<sub>0</sub>''', is defined as:<Ref name=hyp>Hyperphysics. (August 27, 2015). ''Electric and Magnetic Constants'' [Online], Available: http://hyperphysics.phy-astr.gsu.edu/hbase/electric/elefie.html</ref>

	~~It has a value of 8~~.8542 x 10~~<sup>~~-12</~~sup~~> F/m ([[farad]]s per [[meter]]),<ref>WolframResearch. (August 27, 2015). ''Permittivity of Free Space'' [Online], Available: http://scienceworld.wolfram.com/physics/PermittivityofFreeSpace.html</ref> and is defined as:<Ref name=hyp>Hyperphysics. (August 27, 2015). ''Electric and Magnetic Constants'' [Online], Available: http://hyperphysics.phy-astr.gsu.edu/hbase/electric/elefie.html</~~ref~~>		<center><math>\epsilon_0 = \frac{1}{\mu_0 c^2}\approx8.8542 \times 10^{-12} </math> F/m ([[farad]]s per [[meter]])</center>

	<center><m>\epsilon_0 = \frac{1}{~~\mu_0 c~~^2}</m></center>		where

			*<math>\mu_0</math> is the [[permeability of free space]] and
			*<math>c</math> is the [[speed of light]].

			An electric field, <math>E</math>, in a region of space has field energy associated with it, that [[energy density]] is:<ref>Jackson, John David (1998). Classical Electrodynamics (3rd ed.). New York: Wiley. p. 213</ref>
			<center> <math>\frac{Energy}{volume}= \frac{\epsilon_0 E^2}{2 } </math></center>

			The energy stored in a [[capacitor]] (with no [[dielectric]]) is:

			<center>Energy <math> = \frac{\epsilon_0 A}{2d} V^2</math></center>

			where

	~~where~~		*<math>A</math> is the area of the plates,
			*<math>d</math> is the distance between the plates
			*<math>V</math> is the [[voltage]] between the plates.

	*<m>\mu_0</m> is the [[permeability of free space]] and
	*<m>c</m> is the [[speed of light]].

	~~It is~~ used to ~~relate two~~ [[~~charge~~]]~~s separated by a distance to~~ the [[force]] between ~~them, simply known as the~~ [[~~Coulomb force~~]]~~. It does so in the following way~~:<ref name=hyp/>		The permittivity of free space can also be used to find the [[Coulomb force]]. The constant gives how strong the [[force]] is between two [[charge]]s separated by a distance:<ref name=hyp/>

	<center><m>F = \frac{1}{4 \pi \epsilon_0} \frac{q_1 q_2}{r^2}</m></center>		<center><math>F = \frac{1}{4 \pi \epsilon_0} \frac{q_1 q_2}{r^2}</math></center>

	where		where

	*<m>F</m> is the Coulomb force,		*<math>F</math> is the Coulomb force,
	*<m>q_1</m> and <m>q_2</m> are two charges, and		*<math>q_1</math> and <math>q_2</math> are two charges, and
	*<m>r</m> is the separation between the charges.		*<math>r</math> is the separation between the charges.

			== For Further Reading ==
			For further information please see the related pages below:
			*[[Permeability of free space]]
			*[[Electric field]]
			*[[Photon]]
			*[[Capacitor]]
			*Or explore a [[Special:Random\|random page]]


	==References==		==References==
	{{~~Reflist~~}}		{{reflist}}

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Jmdonev at 15:12, 28 August 2015

2015-08-28T15:12:50Z

New page

[[Category:Done 2015-09-05]]
<onlyinclude>The '''permittivity of free space''', '''ε<sub>0</sub>''', is a physical constant used often in [[electromagnetic force|electromagnetism]], and is the capability of a [[vacuum]] to permit [[electric field]]s. It is also connected to the [[energy]] stored within an electric field and [[capacitance]].</onlyinclude>

It has a value of 8.8542 x 10<sup>-12</sup> F/m ([[farad]]s per [[meter]]),<ref>WolframResearch. (August 27, 2015). ''Permittivity of Free Space'' [Online], Available: http://scienceworld.wolfram.com/physics/PermittivityofFreeSpace.html</ref> and is defined as:<Ref name=hyp>Hyperphysics. (August 27, 2015). ''Electric and Magnetic Constants'' [Online], Available: http://hyperphysics.phy-astr.gsu.edu/hbase/electric/elefie.html</ref>

<center><m>\epsilon_0 = \frac{1}{\mu_0 c^2}</m></center>

where

*<m>\mu_0</m> is the [[permeability of free space]] and
*<m>c</m> is the [[speed of light]].

It is used to relate two [[charge]]s separated by a distance to the [[force]] between them, simply known as the [[Coulomb force]]. It does so in the following way:<ref name=hyp/>

<center><m>F = \frac{1}{4 \pi \epsilon_0} \frac{q_1 q_2}{r^2}</m></center>

where

*<m>F</m> is the Coulomb force,
*<m>q_1</m> and <m>q_2</m> are two charges, and
*<m>r</m> is the separation between the charges.

==References==
{{Reflist}}