AC - Revision history

Bmwalker2005: /* History */

2015-12-03T00:53:07Z

History

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	By the 1900s, three phase AC power was established as the main source of power in the world.		By the 1900s, three phase AC power was established as the main source of power in the world.



			See http://www.edisontechcenter.org/AC-PowerHistory.html for a more detailed history timeline of AC power.

	== See also ==		== See also ==

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History

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	Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.		Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

			In 1835, Hippolyte Pixii built the first alternator, a device used to generate alternating current. Due to most other experimenters of the time working on DC devices, he had no uses or ideas for the device.

			In 1879, Walter Baily invented an early, extremely weak version of an AC motor with very little applicable use.

			In 1885, Galileo Ferraris theorized the first polyphase AC motor.

			In 1888, Ferraris published his report on his idea for a polyphase AC motor which made the AC motor much more efficient and finally competitive with DC motors.
			In the same year, nearly a month later, Nikola Tesla displays his polyphase motor before the AIEE and claims to have come up with the idea before Ferraris. Later a U.S court sides with him on the basis of witness testimony and from there on out, Tesla was known as the "Father of AC."

			By the 1900s, three phase AC power was established as the main source of power in the world.

	== See also ==		== See also ==

2015-12-02T22:36:17Z

Difficult

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	R = # resistors * resistance.		R = # resistors * resistance.
	<math>R = 2 * 6 = 12</math> ohms
			<math>R = 2 * 6 = 12</math> ohms


	<math>V_{max} = \sqrt{2} V_{rms}</math>		<math>V_{max} = \sqrt{2} V_{rms}</math>
	\t<math>V_{max} = \sqrt{2} * 110 = 155</math> V
			<math>V_{max} = \sqrt{2} * 110 = 155</math> V


	<math>\omega = \frac{2\pi}{T}</math>		<math>\omega = \frac{2\pi}{T}</math>

	\t<math>T = \frac{1}{f}</math>		<math>T = \frac{1}{f}</math>

			U.S standard frequency is 60 hz.

	~~\t\tU.S standard frequency is 60 hz.~~		<math>T = \frac{1}{60} = .01667</math> seconds
	~~\t\t~~<math>T = \frac{1}{60} = .01667</math> seconds

	\t<math>\omega = \frac{2\pi}{.01667} = 376.92</math> rads/sec		<math>\omega = \frac{2\pi}{.01667} = 376.92</math> rads/sec

2015-12-02T22:35:18Z

Difficult

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	<math>V_{max} = \sqrt{2} V_{rms}</math>		<math>V_{max} = \sqrt{2} V_{rms}</math>
	<math>V_{max} = \sqrt{2} * 110 = 155</math> V		\t<math>V_{max} = \sqrt{2} * 110 = 155</math> V


	<math>\omega = \frac{2\pi}{T}</math>		<math>\omega = \frac{2\pi}{T}</math>

	<math>T = \frac{1}{f}</math>		\t<math>T = \frac{1}{f}</math>

	U.S standard frequency is 60 hz.		\t\tU.S standard frequency is 60 hz.
	<math>T = \frac{1}{60} = .01667</math> seconds		\t\t<math>T = \frac{1}{60} = .01667</math> seconds

	<math>\omega = \frac{2\pi}{.01667} = 376.92</math> rads/sec		\t<math>\omega = \frac{2\pi}{.01667} = 376.92</math> rads/sec

2015-12-02T22:34:03Z

Difficult

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	*<math>I_{max} = \frac{\Delta V_{max}}{\sqrt{R^2 + \frac{1}{(C \omega)^2}}}</math>		We find this value using this equation:

			<math>I_{max} = \frac{\Delta V_{max}}{\sqrt{R^2 + \frac{1}{(C \omega)^2}}}</math>

	**<math>V_{max} = \~~sqrt{2} V_{rms}~~</math>		C is given (2 farads); R, <math>V_{max}</math>, and <math>\omega</math> must be calculated.

			R = # resistors * resistance.
			<math>R = 2 * 6 = 12</math> ohms

	**<math>\omega = \frac{2\pi}{T}</math>

	***<math>T = \frac{1}{f}</math>		<math>V_{max} = \sqrt{2} V_{rms}</math>
			<math>V_{max} = \sqrt{2} * 110 = 155</math> V


			<math>\omega = \frac{2\pi}{T}</math>

			<math>T = \frac{1}{f}</math>

			U.S standard frequency is 60 hz.
			<math>T = \frac{1}{60} = .01667</math> seconds

			<math>\omega = \frac{2\pi}{.01667} = 376.92</math> rads/sec


			<math>I_{max} = \frac{155}{\sqrt{12^2 + \frac{1}{(2 * 376.92)^2}}} = 12.917</math> amperes

	==Connectedness==		==Connectedness==

2015-12-02T22:20:46Z

Difficult

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	<math>T = \frac{1}{~~f}</math>~~		*<math>I_{max} = \frac{\Delta V_{max}}{\sqrt{R^2 + \frac{1}{(C \omega)^2}}}</math>
	~~<math>~~\~~omega =~~ \frac{2~~\pi~~}{T}</math>

	~~<math>V_{max} = \sqrt{2} V_{rms}</math>~~

	<math>I_{max} = \~~frac~~{~~\Delta~~ V_{~~max}~~}{\~~sqrt~~{~~R^2 +~~ \frac{1}{~~(C \omega)^2}}~~}</math>		**<math>V_{max} = \sqrt{2} V_{rms}</math>


			**<math>\omega = \frac{2\pi}{T}</math>

			***<math>T = \frac{1}{f}</math>

	==Connectedness==		==Connectedness==

2015-12-02T22:17:53Z

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	<math>V_{max} = \sqrt{2} V_{rms}</math>		<math>V_{max} = \sqrt{2} V_{rms}</math>

			<math>I_{max} = \frac{\Delta V_{max}}{\sqrt{R^2 + \frac{1}{(C \omega)^2}}}</math>

	==Connectedness==		==Connectedness==

2015-12-02T22:17:09Z

Difficult

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	===Difficult===		===Difficult===

			What is the maximum current of an RC circuit with 2 6 ohm resistors in series with a 2 farad capacitor, powered by 110 V AC at the U.S standard frequency?


			<math>T = \frac{1}{f}</math>
			<math>\omega = \frac{2\pi}{T}</math>

			<math>V_{max} = \sqrt{2} V_{rms}</math>

	==Connectedness==		==Connectedness==

2015-12-02T04:44:30Z

2015-12-02T04:38:32Z

Connectedness

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	==Connectedness==		==Connectedness==
	#~~How~~ is ~~this topic connected~~ to ~~something that you~~ are ~~interested in?~~		#Alternating Current is the method by which most modern day appliances are powered. All electricity delivered to and running through most residential and commercial buildings are driven by alternating current.
	#~~How is~~ it ~~connected~~ to ~~your major?~~		#Computers have internal power supply components which convert the alternating current they receive from outlets into a direct current it needs to function properly.
	#~~Is there an interesting industrial application?~~		#Alternating current was the most efficient way to deliver power across power lines through transformers when power lines were initially laid.

	==History==		==History==

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	*Willam A. Meyers, History and Reflections on the Way Things Were: Mill Creek Power Plant – Making History with AC, IEEE Power Engineering Review, February 1997, pages 22–24		*Willam A. Meyers, History and Reflections on the Way Things Were: Mill Creek Power Plant – Making History with AC, IEEE Power Engineering Review, February 1997, pages 22–24

			*Duff, John R., and Stephen L. Herman. Alternating Current Fundamentals. Albany, NY: Delmar, 2000. Print

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