Ohm's Law - Revision history

Mtrussell6: Ohm's Law

2015-12-06T00:53:15Z

Ohm's Law

← Older revision		Revision as of 20:53, 5 December 2015
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	~~WIP -- Claimed~~ by Max Trussell		''This page was created by Max Trussell, username: mtrussell6''

	Ohm's law is very famous equation discovered by Georg Ohm describing the proportional relationship between voltage and current through some conductor. Most commonly this equation is seen in the form of		Ohm's law is a very famous equation discovered by Georg Ohm describing the proportional relationship between voltage and current through some conductor. Most commonly this equation is seen in the form of

	[[File:OhmsLaw.gif]], with I representing current in amperes, V representing electric potential in volts, and R the resistance in ohms.		[[File:OhmsLaw.gif]], with I representing current in amperes, V representing electric potential in volts, and R the resistance in ohms.
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	==History==		==History==

	Back in 1827, German physicist Georg Ohm published his most recent work on resistance in electric circuits. In this work, entitled ''Die galvanische Kette, mathematisch bearbeitet'', he first unveiled what is now know as Ohm's Law. Unfortunately due to political reasons, his work was never considered seriously until the 1840s and 1850s, at which point it became the leading theory on resistance in circuits.		Back in 1827, German physicist Georg Ohm published his most recent work on resistance in electric circuits. In this work, entitled ''Die galvanische Kette, mathematisch bearbeitet'', he first unveiled what is now know as Ohm's Law. Unfortunately due to political reasons, his work was never considered seriously until the 1840s and 1850s, at which point it became the leading theory on resistance in circuits, beating out rivals such as Barlow's Law. Ohm's work on both Ohm's Law and Ohmic resistors layed the foundations for contemporary circuitry and opened the gates to further scientific discoveries regarding the flow of electricity!

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

Mtrussell6 at 00:47, 6 December 2015

2015-12-06T00:47:43Z

← Older revision		Revision as of 20:47, 5 December 2015
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	Stripped down to its most basic, Ohm's Law exists so that either the electric potential, current, or total resistance of some conductor may be found when two out of the three are known quantities. This is possible because of the simple, linear relationship between the three.		Stripped down to its most basic, Ohm's Law exists so that either the electric potential, current, or total resistance of some conductor may be found when two out of the three are known quantities. This is possible because of the simple, linear relationship between the three.

	[[File:OhmicCircuit.gif\|thumb\|A simple Ohmic circuit displaying I, V, and R as relevant to Ohm's Law.]]		[[File:OhmicCircuit.gif\|thumb\|A simple Ohmic circuit displaying I, V, and R as relevant to Ohm's Law. Source: reference 1]]

	===A Mathematical Model===		===A Mathematical Model===
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	[[File:OhmsLawExample1.png]]		[[File:OhmsLawExample1.png]]
			<br>''Image Source: Max Trussell''

	For this example the power source will be 12 volts and the resistor will be 4 ohms. To solve for the current, simply plug in the given values to get <math>{\frac{12V}{4\Omega} = 3A}</math>, meaning that the current is 3 amperes.		For this example the power source will be 12 volts and the resistor will be 4 ohms. To solve for the current, simply plug in the given values to get <math>{\frac{12V}{4\Omega} = 3A}</math>, meaning that the current is 3 amperes.
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	[[File:OhmsLawExample2.gif]]		[[File:OhmsLawExample2.gif]]
			<br>''Image Source: reference 2''

	In this case, R<sub>1</sub> is given to be 2 ohms, R<sub>2</sub> is given to be 4 ohms, and I is given to be 3 amperes. The first step is to remember that the R in the Ohm's Law equation represents total resistance, not individual resistors. In this case (Ohmic resistors in parallel), <math>{\frac{1}{R_{Net}} = \frac{1}{R_{1}} + \frac{1}{R_{2}}}</math>, plug in R<sub>1</sub> and R<sub>2</sub> to find <math>R_{Net} = \frac{4}{3} \Omega</math>.		In this case, R<sub>1</sub> is given to be 2 ohms, R<sub>2</sub> is given to be 4 ohms, and I is given to be 3 amperes. The first step is to remember that the R in the Ohm's Law equation represents total resistance, not individual resistors. In this case (Ohmic resistors in parallel), <math>{\frac{1}{R_{Net}} = \frac{1}{R_{1}} + \frac{1}{R_{2}}}</math>, plug in R<sub>1</sub> and R<sub>2</sub> to find <math>R_{Net} = \frac{4}{3} \Omega</math>.
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	[[File:OhmsLawExample3.jpg\|500px]]		[[File:OhmsLawExample3.jpg\|500px]]
			<br>''Image Source: Max Trussell''

	'''Step 1: Find the Total Resistance'''		'''Step 1: Find the Total Resistance'''
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	==Connectedness==		==Connectedness==
	#How is this topic connected to something that you are interested in?<br>Ohm's Law is the premise on which all simple circuits are created, meaning it is the foundation of nearly all modern electronics! Without Ohm's Law, there would be no cellphones, laptops, or even outlets in the wall.		#How is this topic connected to something that you are interested in?<br>Ohm's Law is the premise on which all simple circuits are created, meaning it is the foundation of nearly all modern electronics! Without Ohm's Law, there would be no cellphones, laptops, or even outlets in the wall.


	#How is it connected to your major?<br>As a computer scientist, in all likelihood I will not be directly using Ohm's Law for my work, but as stated previously, without it there would be no computers and thus, no computer science.		#How is it connected to your major?<br>As a computer scientist, in all likelihood I will not be directly using Ohm's Law for my work, but as stated previously, without it there would be no computers and thus, no computer science.


	#Is there an interesting industrial application?<br>Nearly all modern industry relies on electronics, from an assembly line to the lights in a small cafe. It is safe to say that without Ohm's Law, nearly every facet of modern industry would be dramatically different!		#Is there an interesting industrial application?<br>Nearly all modern industry relies on electronics, from an assembly line to the lights in a small cafe. It is safe to say that without Ohm's Law, nearly every facet of modern industry would be dramatically different!
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	===Further reading===		===Further reading===

	~~Books~~, ~~Articles or other print media on this topic~~		*Matter and Interactions, 4th Edition, Chapters 18 and 19
			*Calculus Based Physics II by Jeffrey Shnick, free textbook--downloadable [http://www.anselm.edu/internet/physics/cbphysics/index.html here]

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

	~~Internet resources~~ on ~~this topic~~		*[http://www.physicsclassroom.com/class/circuits/Lesson-3/Ohm-s-Law Physics Classroom on Ohm's Law]
			*[http://hyperphysics.phy-astr.gsu.edu/hbase/electric/ohmlaw.html Hyper Physics on Ohm's Law]

	==References==		==References==

	~~This section contains the the references you used while writing this page~~		#[http://faculty.plattsburgh.edu/donald.slish/figures/Basiccircuit.gif Basic Circuit. Digital image. Plattsburgh. N.p., n.d. Web]
			#[http://www.ceb.cam.ac.uk/data/images/groups/CREST/Teaching/impedence/paral1.gif Circuit With Parallel Resistors. Digital image. Cambridge University Department of Engineering and Biotechnology. N.p., n.d. Web.]
			#[http://www.physicsclassroom.com/class/circuits/Lesson-3/Ohm-s-Law "Ohm's Law." Ohm's Law. N.p., n.d. Web. 05 Dec. 2015.]
			#Chabay, Ruth W., and Bruce A. Sherwood. "Circuit Elements." Matter and Interactions, 4th Edition. N.p.: n.p., 2015. 783-99. Print.

	[[Category:Simple_Circuits]]		[[Category:Simple_Circuits]]

Mtrussell6 at 23:58, 5 December 2015

2015-12-05T23:58:44Z

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	==Connectedness==		==Connectedness==
	#How is this topic connected to something that you are interested in?		#How is this topic connected to something that you are interested in?<br>Ohm's Law is the premise on which all simple circuits are created, meaning it is the foundation of nearly all modern electronics! Without Ohm's Law, there would be no cellphones, laptops, or even outlets in the wall.
	#How is it connected to your major?
	#Is there an interesting industrial application?
			#How is it connected to your major?<br>As a computer scientist, in all likelihood I will not be directly using Ohm's Law for my work, but as stated previously, without it there would be no computers and thus, no computer science.


			#Is there an interesting industrial application?<br>Nearly all modern industry relies on electronics, from an assembly line to the lights in a small cafe. It is safe to say that without Ohm's Law, nearly every facet of modern industry would be dramatically different!

	==History==		==History==

	~~Put this idea~~ in ~~historical context~~. ~~Give the reader the Who~~, ~~What~~, ~~When~~, ~~Where~~, and ~~Why~~.		Back in 1827, German physicist Georg Ohm published his most recent work on resistance in electric circuits. In this work, entitled ''Die galvanische Kette, mathematisch bearbeitet'', he first unveiled what is now know as Ohm's Law. Unfortunately due to political reasons, his work was never considered seriously until the 1840s and 1850s, at which point it became the leading theory on resistance in circuits.

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

	~~Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?~~		*[[Current]]
			*[[Loop Rule]]
			*[[Voltage]]

	===Further reading===		===Further reading===
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	This section contains the the references you used while writing this page		This section contains the the references you used while writing this page

	[[Category: Simple_Circuits]]		[[Category:Simple_Circuits]]

Mtrussell6 at 23:35, 5 December 2015

2015-12-05T23:35:58Z

@@ Line 34: / Line 34: @@
 [[File:OhmsLawExample2.gif]]
-In this case, R<sub>1</sub> is given to be 2 ohms, R<sub>2</sub> is given to be 4 ohms, and I is given to be 3 amperes.  The first step is to remember that the R in the Ohm's Law equation represents total resistance, not individual resistors.  In this case (Ohmic resistors in parallel), <math>{\frac{1}{R_{Net}} = \frac{1}{R_{1}} + \frac{1}{R_{2}}}</math>, meaning that <math>R_{Net} = \frac{4}{3} \Omega</math>
+In this case, R<sub>1</sub> is given to be 2 ohms, R<sub>2</sub> is given to be 4 ohms, and I is given to be 3 amperes.  The first step is to remember that the R in the Ohm's Law equation represents total resistance, not individual resistors.  In this case (Ohmic resistors in parallel), <math>{\frac{1}{R_{Net}} = \frac{1}{R_{1}} + \frac{1}{R_{2}}}</math>, plug in R<sub>1</sub> and R<sub>2</sub> to find <math>R_{Net} = \frac{4}{3} \Omega</math>.
 ===Difficult===
 ==Connectedness==

Mtrussell6 at 22:44, 5 December 2015

2015-12-05T22:44:35Z

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	==Examples==		==Examples==

	~~Be sure to show all steps~~ in ~~your solution~~ and ~~include diagrams whenever possible~~		===Simple===

			The most basic example of Ohm's Law in action involves a closed circuit with a single power source and a single Ohmic resistor.

			[[File:OhmsLawExample1.png]]

	=~~==Simple===~~		For this example the power source will be 12 volts and the resistor will be 4 ohms. To solve for the current, simply plug in the given values to get <math>{\frac{12V}{4\Omega} = 3A}</math>, meaning that the current is 3 amperes.
	===Middling===		===Middling===

			A slightly more complex example involves a closed circuit with a single power source and two Ohmic resistors in parallel.

			[[File:OhmsLawExample2.gif]]

			In this case, R<sub>1</sub> is given to be 2 ohms, R<sub>2</sub> is given to be 4 ohms, and I is given to be 3 amperes. The first step is to remember that the R in the Ohm's Law equation represents total resistance, not individual resistors. In this case (Ohmic resistors in parallel), <math>{\frac{1}{R_{Net}} = \frac{1}{R_{1}} + \frac{1}{R_{2}}}</math>, meaning that <math>R_{Net} = \frac{4}{3} \Omega</math>
	===Difficult===		===Difficult===

Mtrussell6 at 21:56, 5 December 2015

2015-12-05T21:56:22Z

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	===A Mathematical Model===		===A Mathematical Model===

	While most often represented as <math>{I = \frac{\|\Delta V\|}{R}}</math>, Ohm's Law may also be represented as <math>V = IR</math> or <math>{R = \frac{V}{I}}</math>. Noteworthy is the fact that Ohm's Law depends upon Ohmic resistance and near ideal conductors to be accurate. Fortunately, most simple circuits without capacitance or inductance ~~are~~ fit this criteria as the wires offer minuscule resistance when compared to the various resistors in the circuit. Also worth noting is that '''V''' does not necessarily represent the potential difference across a single source of electric potential (e.g. a battery) but rather the absolute value of the potential difference across an entire circuit.		While most often represented as <math>{I = \frac{\|\Delta V\|}{R}}</math>, Ohm's Law may also be represented as <math>V = IR</math> or <math>{R = \frac{V}{I}}</math>. Noteworthy is the fact that Ohm's Law depends upon Ohmic resistance and near ideal conductors to be accurate. Fortunately, most simple circuits without capacitance or inductance fit this criteria as the wires offer minuscule resistance when compared to the various resistors in the circuit. Additionally at any given point in time, Ohm's Law applies to both [http://www.physicsbook.gatech.edu/AC alternating current] and direct current. Also worth noting is that '''V''' does not necessarily represent the potential difference across a single source of electric potential (e.g. a battery) but rather the absolute value of the potential difference across an entire circuit.

	===A Computational Model===		===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~~]		There are numerous programs to be found that simulate circuits via Ohm's Law, with many allowing for analysis beyond the standard scope of Ohm's Law. One such example is [https://phet.colorado.edu/en/simulation/circuit-construction-kit-dc Phet's Circuit Construction Kit], a free, lightweight tool to create and analyze simple DC current circuits. [https://www.youtube.com/watch?v=4ljzvLQG5tY Here] is a video briefly describing its installation and use!

	==Examples==		==Examples==

Mtrussell6 at 21:41, 5 December 2015

2015-12-05T21:41:55Z

← Older revision		Revision as of 17:41, 5 December 2015
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	==The Main Idea==		==The Main Idea==

	Stripped down to its most basic, Ohm's Law exists so that either the electric potential, current, or resistance of some conductor may be found when two out of the three are known quantities. This is possible because of the simple, linear relationship between the three.		Stripped down to its most basic, Ohm's Law exists so that either the electric potential, current, or total resistance of some conductor may be found when two out of the three are known quantities. This is possible because of the simple, linear relationship between the three.

	[[File:OhmicCircuit.gif\|thumb\|~~Simple circle~~ displaying I, V, and R as relevant to Ohm's Law.]]		[[File:OhmicCircuit.gif\|thumb\|A simple Ohmic circuit displaying I, V, and R as relevant to Ohm's Law.]]

	===A Mathematical Model===		===A Mathematical Model===

	~~What are the mathematical equations that allow us to model this topic. For example~~ <math>{\frac{d\~~vec{p}~~}{dt}}_{~~system}~~ = \~~vec~~{F}_{~~net~~}</math> ~~where~~ '~~''p''' is~~ the ~~momentum of~~ the ~~system and~~ '''F''' is the ~~net force from~~ the ~~surroundings~~.		While most often represented as <math>{I = \frac{\|\Delta V\|}{R}}</math>, Ohm's Law may also be represented as <math>V = IR</math> or <math>{R = \frac{V}{I}}</math>. Noteworthy is the fact that Ohm's Law depends upon Ohmic resistance and near ideal conductors to be accurate. Fortunately, most simple circuits without capacitance or inductance are fit this criteria as the wires offer minuscule resistance when compared to the various resistors in the circuit. Also worth noting is that '''V''' does not necessarily represent the potential difference across a single source of electric potential (e.g. a battery) but rather the absolute value of the potential difference across an entire circuit.

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

Mtrussell6 at 21:16, 5 December 2015

2015-12-05T21:16:03Z

← Older revision		Revision as of 17:16, 5 December 2015
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	==The Main Idea==		==The Main Idea==

	~~State~~, ~~in your own words~~, the ~~main idea for this topic~~		Stripped down to its most basic, Ohm's Law exists so that either the electric potential, current, or resistance of some conductor may be found when two out of the three are known quantities. This is possible because of the simple, linear relationship between the three.
	~~Electric Field of Capacitor~~
			[[File:OhmicCircuit.gif\|thumb\|Simple circle displaying I, V, and R as relevant to Ohm's Law.]]

	===A Mathematical Model===		===A Mathematical Model===

Mtrussell6 at 20:52, 5 December 2015

2015-12-05T20:52:58Z

← Older revision		Revision as of 16:52, 5 December 2015
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	WIP -- Claimed by Max Trussell		WIP -- Claimed by Max Trussell

	Ohm's law is very famous equation discovered by Georg Ohm ~~detailing~~ the proportional relationship between voltage and current through some conductor. Most commonly this equation is seen in the form of		Ohm's law is very famous equation discovered by Georg Ohm describing the proportional relationship between voltage and current through some conductor. Most commonly this equation is seen in the form of
	[[File:~~Example~~.~~jpg~~]]
			[[File:OhmsLaw.gif]], with I representing current in amperes, V representing electric potential in volts, and R the resistance in ohms.

	==The Main Idea==		==The Main Idea==

Mtrussell6 at 20:42, 5 December 2015

2015-12-05T20:42:28Z

← Older revision		Revision as of 16:42, 5 December 2015
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	WIP -- Claimed by Max Trussell		WIP -- Claimed by Max Trussell

	~~Short Description~~ of ~~Topic~~		Ohm's law is very famous equation discovered by Georg Ohm detailing the proportional relationship between voltage and current through some conductor. Most commonly this equation is seen in the form of
			[[File:Example.jpg]]

	==The Main Idea==		==The Main Idea==