Charge Motion in Metals - Revision history

Wrountree3: /* Charge Motion */

2015-12-05T19:15:47Z

Charge Motion

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	An electron's average speed as it moves through the metal, '''''v''''', is described as it's ''drift speed''. This speed can be found by dividing the momentum of the electron, '''p''', by its mass, '''m''':		An electron's average speed as it moves through the metal, '''''v''''', is described as it's ''drift speed''. This speed can be found by dividing the momentum of the electron, '''p''', by its mass, '''m''':


	'''''v'' = p/m'''		'''''v'' = p/m'''

2015-12-05T19:13:55Z

See also

2015-12-05T19:13:20Z

See also

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	== See also ==		== See also ==
	[Electric Field]]		[[Electric Field]]

	[[Electric Force]]		[[Electric Force]]
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	===Further reading===		===Further reading===
	https://www.sciencedaily.com/terms/electrical_conduction.htm		https://www.sciencedaily.com/terms/electrical_conduction.htm

	https://www.scienceclarified.com/Di-El/Electrical-Conductivity.html		https://www.scienceclarified.com/Di-El/Electrical-Conductivity.html

	https://pfnicholls.com/physics/current.html		https://pfnicholls.com/physics/current.html


	~~===External links===~~

	==References==		==References==

2015-12-05T19:12:56Z

See also

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	== See also ==		== See also ==
	[Electric Field]]		[Electric Field]]

	[[Electric Force]]		[[Electric Force]]

	[[Polarization]]		[[Polarization]]

	[[Charge Transfer]]		[[Charge Transfer]]


	===Further reading===		===Further reading===
	www.sciencedaily.com/terms/electrical_conduction.htm		https://www.sciencedaily.com/terms/electrical_conduction.htm
	www.scienceclarified.com/Di-El/Electrical-Conductivity.html		https://www.scienceclarified.com/Di-El/Electrical-Conductivity.html
	pfnicholls.com/physics/current.html		https://pfnicholls.com/physics/current.html

2015-12-05T19:11:55Z

See also

← Older revision		Revision as of 15:11, 5 December 2015
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	== See also ==		== See also ==
			[Electric Field]]
			[[Electric Force]]
	[[Polarization]]		[[Polarization]]

	[[Charge Transfer]]		[[Charge Transfer]]


	===Further reading===		===Further reading===
			www.sciencedaily.com/terms/electrical_conduction.htm
			www.scienceclarified.com/Di-El/Electrical-Conductivity.html
			pfnicholls.com/physics/current.html


	===External links===		===External links===



	==References==		==References==

2015-12-05T19:03:45Z

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	'''''v'' = μE'''		'''''v'' = μE'''

			==History==
			This model for the motion of electrons in metal is credited to physicist Paul Drude, who first proposed the model in 1900 three years after J.J. Thompson discovered the electron. Dubbed the Drude Model, this theory was expanded by Hendrik Lorentz five years after it was introduced. The model was updated once more by Arnold Sommerfeld in 1933 after the development of quantum theory.

	==Examples==		==Examples==



	===Simple Problem===		===Simple Problem===
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	v = μE = (.144 (m/s)(N/C))(.07 N/C) = .01008 (m/s)		v = μE = (.144 (m/s)(N/C))(.07 N/C) = .01008 (m/s)

	==~~Connectedness~~==		== See also ==

			[[Polarization]]

	~~==History==~~		[[Charge Transfer]]
	This model for the motion of electrons in metal is credited to physicist Paul Drude, who first proposed the model in 1900 three years after J.J. Thompson discovered the electron. Dubbed the Drude Model, this theory was expanded by Hendrik Lorentz five years after it was introduced. The model was updated once more by Arnold Sommerfeld in 1933 after the development of quantum theory.

	~~== See also ==~~

2015-12-05T18:56:21Z

Examples

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	===Simple Problem===		===Simple Problem===
			The electron mobility in a certain metal is .02 (m/s)/(N/C). If the drift speed measured in the material is .001 m/s, what is the magnitude of the net electric field inside the metal?

			====Solution====
			Use the equation relating drift speed, mobility, and electric field to solve this problem.
			E = v/μ = (.001(m/s))/(.02(m/s)/(N/C)) = .05 N/C

	===Difficult Problem===		===Difficult Problem===

2015-12-05T18:45:51Z

Examples

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	===Simple===		===Simple Problem===


	~~===Middling===~~
	===Difficult Problem===		===Difficult Problem===
	If the drift speed of mobile electrons in a material is measured to be .0072 m/s and the net electric field applied to the material is known to be .05 N/C everywhere, what would the drift speed be if the magnitude of the net electric field increased to .07 N/C?		If the drift speed of mobile electrons in a material is measured to be .0072 m/s and the net electric field applied to the material is known to be .05 N/C everywhere, what would the drift speed be if the magnitude of the net electric field increased to .07 N/C?

2015-12-05T18:45:22Z

Difficult

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	===Middling===		===Middling===
	===Difficult===		===Difficult Problem===
	If the drift speed of mobile electrons in a material is measured to be .0072 m/s and the net electric field applied to the material is known to be .05 N/C everywhere, what would the drift speed be if the magnitude of the net electric field increased to .07 N/C?		If the drift speed of mobile electrons in a material is measured to be .0072 m/s and the net electric field applied to the material is known to be .05 N/C everywhere, what would the drift speed be if the magnitude of the net electric field increased to .07 N/C?

2015-12-05T18:44:56Z

Difficult

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	====Solution====		====Solution====
	First, find the electron mobility in the mystery material.		First, find the electron mobility in the mystery material. This property is constant at a consistent temperature.
			μ= v/E = (.0072 m/s)/(.05 N/C) = .144 (m/s)(N/C)
			Next, use the electron mobility with the updated electric field to find the new drift speed.
			v = μE = (.144 (m/s)(N/C))(.07 N/C) = .01008 (m/s)

	==Connectedness==		==Connectedness==