Transformers (Physics) - Revision history

Vrivero3 at 16:17, 4 December 2015

2015-12-04T16:17:27Z

← Older revision		Revision as of 12:17, 4 December 2015
Line 1:		Line 1:
	written by ~~vrivero3~~		written by Valeria Rivero

	[[File:Transcon.gif\|2000px\|thumb\|right\|Transformer Concept Map]]		[[File:Transcon.gif\|2000px\|thumb\|right\|Transformer Concept Map]]

Vrivero3 at 16:13, 4 December 2015

2015-12-04T16:13:52Z

← Older revision		Revision as of 12:13, 4 December 2015
Line 1:		Line 1:
	~~claimed~~ by vrivero3		written by vrivero3

	[[File:Transcon.gif\|2000px\|thumb\|right\|Transformer Concept Map]]		[[File:Transcon.gif\|2000px\|thumb\|right\|Transformer Concept Map]]
Line 71:		Line 71:

	<math>I_s = 0.85A</math>.		<math>I_s = 0.85A</math>.


	~~==Connectedness==~~
	~~#How is this topic connected to something that you are interested in?~~
	~~#How is it connected to your major?~~
	~~#Is there an interesting industrial application?~~

	==History==		==History==

Vrivero3 at 15:57, 4 December 2015

2015-12-04T15:57:05Z

← Older revision		Revision as of 11:57, 4 December 2015
Line 32:		Line 32:

	In the case of a "step-up" transformer, the primary coil has few turn and the secondary many, therefore increasing the voltage and decreasing the current.		In the case of a "step-up" transformer, the primary coil has few turn and the secondary many, therefore increasing the voltage and decreasing the current.

	~~===A Computational Model===~~

	~~How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]~~

	==Examples==		==Examples==
Line 76:		Line 72:
	<math>I_s = 0.85A</math>.		<math>I_s = 0.85A</math>.


	~~===Difficult===~~

	==Connectedness==		==Connectedness==
Line 86:		Line 80:
	==History==		==History==

	[[File:StanleyTransformer1885-700.jpg ‎\|~~2000px~~\|thumb\|right\| Original 1885 Stanley prototype transformer]]		[[File:StanleyTransformer1885-700.jpg ‎\|200px\|thumb\|right\| Original 1885 Stanley prototype transformer]]

Vrivero3 at 15:56, 4 December 2015

2015-12-04T15:56:12Z

← Older revision		Revision as of 11:56, 4 December 2015
Line 41:		Line 41:
	===Simple===		===Simple===

	[[File:LCcirc.GIF\|2000px\|thumb\|right\|~~Transformer and Faraday's Law~~]]		[[File:LCcirc.GIF\|2000px\|thumb\|right\|]]

	What is the oscillation frequency of an LC circuit whose capacitor has a capacitance of 1 microfarad and whose inductor has an inductance of 3 millihenry?		What is the oscillation frequency of an LC circuit whose capacitor has a capacitance of 1 microfarad and whose inductor has an inductance of 3 millihenry?
Line 86:		Line 86:
	==History==		==History==

	~~Put this idea in historical context. Give the reader the Who, What, When, Where, and Why~~.		[[File:StanleyTransformer1885-700.jpg ‎\|2000px\|thumb\|right\| Original 1885 Stanley prototype transformer]]


	The property of induction was discovered in the 1830's but it wasn't until 1886 that William Stanley, working for Westinghouse, built the first reliable commercial transformer. It was first designed and used in both experimental and commercial systems by Ottó Bláthy, Miksa Déri, Károly Zipernowsky of the Austro-Hungarian Empire. The first AC power system that used the modern transformer was in Great Barrington, Massachusetts in 1886. In 1891 mastermind Mikhail Dobrovsky designed and demonstrated his 3 phase transformers in the Electro-Technical Exposition at Frankfurt, Germany.		The property of induction was discovered in the 1830's but it wasn't until 1886 that William Stanley, working for Westinghouse, built the first reliable commercial transformer. It was first designed and used in both experimental and commercial systems by Ottó Bláthy, Miksa Déri, Károly Zipernowsky of the Austro-Hungarian Empire. The first AC power system that used the modern transformer was in Great Barrington, Massachusetts in 1886. In 1891 mastermind Mikhail Dobrovsky designed and demonstrated his 3 phase transformers in the Electro-Technical Exposition at Frankfurt, Germany.

Line 112:		Line 114:
	Transformers from a circuits approach as opposed to a circuits approach		Transformers from a circuits approach as opposed to a circuits approach

	~~===Further reading===~~

	~~Books, Articles or other print media on this topic~~

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

Vrivero3 at 15:52, 4 December 2015

2015-12-04T15:52:46Z

← Older revision		Revision as of 11:52, 4 December 2015
Line 40:		Line 40:

	===Simple===		===Simple===

			[[File:LCcirc.GIF\|2000px\|thumb\|right\|Transformer and Faraday's Law]]

	What is the oscillation frequency of an LC circuit whose capacitor has a capacitance of 1 microfarad and whose inductor has an inductance of 3 millihenry?		What is the oscillation frequency of an LC circuit whose capacitor has a capacitance of 1 microfarad and whose inductor has an inductance of 3 millihenry?

Vrivero3 at 15:50, 4 December 2015

2015-12-04T15:50:10Z

← Older revision		Revision as of 11:50, 4 December 2015
Line 49:		Line 49:
	:<math>f = \frac{1}{T}.</math>		:<math>f = \frac{1}{T}.</math>

	Therefore, <math>f = \frac{1}{2pi\sqrt{LC~~}}</math> = <math>\frac{1}{2pi\sqrt{3 × 10<sup>-3</sup> H*1 × 10<sup>-6</sup> F~~}}</math> = 2910 Hz		Therefore, <math>f = \frac{1}{2pi\sqrt{LC}}</math> = 2910 Hz

	===Middling===		===Middling===

Vrivero3 at 15:49, 4 December 2015

2015-12-04T15:49:32Z

← Older revision		Revision as of 11:49, 4 December 2015
Line 43:		Line 43:
	What is the oscillation frequency of an LC circuit whose capacitor has a capacitance of 1 microfarad and whose inductor has an inductance of 3 millihenry?		What is the oscillation frequency of an LC circuit whose capacitor has a capacitance of 1 microfarad and whose inductor has an inductance of 3 millihenry?

	L= 3 millihenry= 3 × 10<sup>-3</sup> H		:L= 3 millihenry= 3 × 10<sup>-3</sup> H
	C= 1 microfarad= 1 × 10<sup>-6</sup> F		:C= 1 microfarad= 1 × 10<sup>-6</sup> F
	:<math> \omega = \sqrt {1 \over LC} </math>		:<math> \omega = \sqrt {1 \over LC} </math>
	:<math>T = \frac{2pi}{\omega}.</math>		:<math>T = \frac{2pi}{\omega}.</math>
	:<math>f = \frac{1}{T}.</math>		:<math>f = \frac{1}{T}.</math>

	Therefore, <math>f = \frac{1}{2pi\sqrt{LC}}</math> = <math>\frac{1}{2pi\sqrt{(3 × 10<sup>-3</sup> H)(1 × 10<sup>-6</sup> F)}}</math> = 2910 Hz		Therefore, <math>f = \frac{1}{2pi\sqrt{LC}}</math> = <math>\frac{1}{2pi\sqrt{3 × 10<sup>-3</sup> H*1 × 10<sup>-6</sup> F}}</math> = 2910 Hz

	===Middling===		===Middling===

Vrivero3 at 15:48, 4 December 2015

2015-12-04T15:48:15Z

← Older revision		Revision as of 11:48, 4 December 2015
Line 43:		Line 43:
	What is the oscillation frequency of an LC circuit whose capacitor has a capacitance of 1 microfarad and whose inductor has an inductance of 3 millihenry?		What is the oscillation frequency of an LC circuit whose capacitor has a capacitance of 1 microfarad and whose inductor has an inductance of 3 millihenry?

	L= 3 millihenry= 1~~.2304~~ × 10<sup>6</sup>		L= 3 millihenry= 3 × 10<sup>-3</sup> H
			C= 1 microfarad= 1 × 10<sup>-6</sup> F
	:<math> \omega = \sqrt {1 \over LC} </math>		:<math> \omega = \sqrt {1 \over LC} </math>
	:<math>T = \frac{2pi}{\omega}.</math>		:<math>T = \frac{2pi}{\omega}.</math>
	:<math>f = \frac{1}{T}.</math>		:<math>f = \frac{1}{T}.</math>

	Therefore, <math>f = \frac{1}{2pi\sqrt{LC}}</math> = <math>\frac{1}{2pi\sqrt{(1C}}</math>		Therefore, <math>f = \frac{1}{2pi\sqrt{LC}}</math> = <math>\frac{1}{2pi\sqrt{(3 × 10<sup>-3</sup> H)(1 × 10<sup>-6</sup> F)}}</math> = 2910 Hz

	===Middling===		===Middling===

Vrivero3 at 15:45, 4 December 2015

2015-12-04T15:45:34Z

← Older revision		Revision as of 11:45, 4 December 2015
Line 43:		Line 43:
	What is the oscillation frequency of an LC circuit whose capacitor has a capacitance of 1 microfarad and whose inductor has an inductance of 3 millihenry?		What is the oscillation frequency of an LC circuit whose capacitor has a capacitance of 1 microfarad and whose inductor has an inductance of 3 millihenry?

	L= 3 millihenry= ~~{{val\|5\|e=-~~1}}		L= 3 millihenry= 1.2304 × 10<sup>6</sup>
	:<math> \omega = \sqrt {1 \over LC} </math>		:<math> \omega = \sqrt {1 \over LC} </math>
	:<math>T = \frac{2pi}{\omega}.</math>		:<math>T = \frac{2pi}{\omega}.</math>

Vrivero3 at 15:44, 4 December 2015

2015-12-04T15:44:39Z

← Older revision		Revision as of 11:44, 4 December 2015
Line 43:		Line 43:
	What is the oscillation frequency of an LC circuit whose capacitor has a capacitance of 1 microfarad and whose inductor has an inductance of 3 millihenry?		What is the oscillation frequency of an LC circuit whose capacitor has a capacitance of 1 microfarad and whose inductor has an inductance of 3 millihenry?

	L= 3 millihenry= {{val\|5\|e=-1}})		L= 3 millihenry= {{val\|5\|e=-1}}
	:<math> \omega = \sqrt {1 \over LC} </math>		:<math> \omega = \sqrt {1 \over LC} </math>
	:<math>T = \frac{2pi}{\omega}.</math>		:<math>T = \frac{2pi}{\omega}.</math>