Physics Book - User contributions [en]

Ohm's Law

2015-12-06T00:53:15Z

Mtrussell6: Ohm's Law

''This page was created by Max Trussell, username: mtrussell6''

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.

==The Main Idea==

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. Source: reference 1]]

===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 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===

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==

===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]]
<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.
===Middling===

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

[[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>.

Now using the form of Ohm's Law <math>V = IR</math>, plug in known values to get <math>(3A)(\frac{4}{3}\Omega) = 4V</math>, so the electric potential across this circuit has been shown to be 4 volts.
===Difficult===

A more challenging application of Ohm's Law involves a closed circuit with two identical power sources connected in series to three resistors, two of which are in parallel.

[[File:OhmsLawExample3.jpg|500px]]
<br>''Image Source: Max Trussell''

'''Step 1: Find the Total Resistance'''

The total resistance for this circuit is going to equal the resistance of R<sub>1</sub> plus the resistance of R<sub>2</sub> and R<sub>3</sub> in parallel. Using the equation from the previous problem, <math>{\frac{1}{R_{P}} = \frac{1}{R_{2}} + \frac{1}{R_{3}}}</math>, plug in R<sub>2</sub> and R<sub>3</sub> to get <math>R_{P} = 2.4\Omega</math>

Then for total resistance, R<sub>P</sub> must be added to R<sub>1</sub> to get <math>2.4\Omega + 2\Omega = 4.4\Omega</math>

'''Step 2: Find the Total Voltage'''

The total voltage for this circuit in this case is simply equal to the voltages of each power source added together, meaning <math>V_{T} = 2(4V) = 8V</math>

'''Step 3: Plug Into Appropriate Version of Ohm's Law'''

Now just plug the total resistance and voltage into <math>I = \frac{V}{R}</math> to get a current of 1.82 amperes

==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 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==

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 ==

*[[Current]]
*[[Loop Rule]]
*[[Voltage]]

===Further reading===

*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===

*[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==

#[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]]

Ohm's Law

2015-12-06T00:47:43Z

Mtrussell6:

WIP -- Claimed by Max Trussell

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

==The Main Idea==

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. Source: reference 1]]

===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 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===

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==

===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]]
<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.
===Middling===

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

[[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>.

Now using the form of Ohm's Law <math>V = IR</math>, plug in known values to get <math>(3A)(\frac{4}{3}\Omega) = 4V</math>, so the electric potential across this circuit has been shown to be 4 volts.
===Difficult===

A more challenging application of Ohm's Law involves a closed circuit with two identical power sources connected in series to three resistors, two of which are in parallel.

[[File:OhmsLawExample3.jpg|500px]]
<br>''Image Source: Max Trussell''

'''Step 1: Find the Total Resistance'''

The total resistance for this circuit is going to equal the resistance of R<sub>1</sub> plus the resistance of R<sub>2</sub> and R<sub>3</sub> in parallel. Using the equation from the previous problem, <math>{\frac{1}{R_{P}} = \frac{1}{R_{2}} + \frac{1}{R_{3}}}</math>, plug in R<sub>2</sub> and R<sub>3</sub> to get <math>R_{P} = 2.4\Omega</math>

Then for total resistance, R<sub>P</sub> must be added to R<sub>1</sub> to get <math>2.4\Omega + 2\Omega = 4.4\Omega</math>

'''Step 2: Find the Total Voltage'''

The total voltage for this circuit in this case is simply equal to the voltages of each power source added together, meaning <math>V_{T} = 2(4V) = 8V</math>

'''Step 3: Plug Into Appropriate Version of Ohm's Law'''

Now just plug the total resistance and voltage into <math>I = \frac{V}{R}</math> to get a current of 1.82 amperes

==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 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==

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 ==

*[[Current]]
*[[Loop Rule]]
*[[Voltage]]

===Further reading===

*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===

*[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==

#[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]]

Ohm's Law

2015-12-05T23:58:44Z

Mtrussell6:

WIP -- Claimed by Max Trussell

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

==The Main Idea==

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.]]

===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 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===

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==

===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]]

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===

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>, plug in R<sub>1</sub> and R<sub>2</sub> to find <math>R_{Net} = \frac{4}{3} \Omega</math>.

Now using the form of Ohm's Law <math>V = IR</math>, plug in known values to get <math>(3A)(\frac{4}{3}\Omega) = 4V</math>, so the electric potential across this circuit has been shown to be 4 volts.
===Difficult===

A more challenging application of Ohm's Law involves a closed circuit with two identical power sources connected in series to three resistors, two of which are in parallel.

[[File:OhmsLawExample3.jpg|500px]]

'''Step 1: Find the Total Resistance'''

The total resistance for this circuit is going to equal the resistance of R<sub>1</sub> plus the resistance of R<sub>2</sub> and R<sub>3</sub> in parallel. Using the equation from the previous problem, <math>{\frac{1}{R_{P}} = \frac{1}{R_{2}} + \frac{1}{R_{3}}}</math>, plug in R<sub>2</sub> and R<sub>3</sub> to get <math>R_{P} = 2.4\Omega</math>

Then for total resistance, R<sub>P</sub> must be added to R<sub>1</sub> to get <math>2.4\Omega + 2\Omega = 4.4\Omega</math>

'''Step 2: Find the Total Voltage'''

The total voltage for this circuit in this case is simply equal to the voltages of each power source added together, meaning <math>V_{T} = 2(4V) = 8V</math>

'''Step 3: Plug Into Appropriate Version of Ohm's Law'''

Now just plug the total resistance and voltage into <math>I = \frac{V}{R}</math> to get a current of 1.82 amperes

==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 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==

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 ==

*[[Current]]
*[[Loop Rule]]
*[[Voltage]]

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

[[Category:Simple_Circuits]]

Ohm's Law

2015-12-05T23:35:58Z

Mtrussell6:

WIP -- Claimed by Max Trussell

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

==The Main Idea==

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.]]

===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 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===

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==

===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]]

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===

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>, plug in R<sub>1</sub> and R<sub>2</sub> to find <math>R_{Net} = \frac{4}{3} \Omega</math>.

Now using the form of Ohm's Law <math>V = IR</math>, plug in known values to get <math>(3A)(\frac{4}{3}\Omega) = 4V</math>, so the electric potential across this circuit has been shown to be 4 volts.
===Difficult===

A more challenging application of Ohm's Law involves a closed circuit with two identical power sources connected in series to three resistors, two of which are in parallel.

[[File:OhmsLawExample3.jpg|500px]]

'''Step 1: Find the Total Resistance'''

The total resistance for this circuit is going to equal the resistance of R<sub>1</sub> plus the resistance of R<sub>2</sub> and R<sub>3</sub> in parallel. Using the equation from the previous problem, <math>{\frac{1}{R_{P}} = \frac{1}{R_{2}} + \frac{1}{R_{3}}}</math>, plug in R<sub>2</sub> and R<sub>3</sub> to get <math>R_{P} = 2.4\Omega</math>

Then for total resistance, R<sub>P</sub> must be added to R<sub>1</sub> to get <math>2.4\Omega + 2\Omega = 4.4\Omega</math>

'''Step 2: Find the Total Voltage'''

The total voltage for this circuit in this case is simply equal to the voltages of each power source added together, meaning <math>V_{T} = 2(4V) = 8V</math>

'''Step 3: Plug Into Appropriate Version of Ohm's Law'''

Now just plug the total resistance and voltage into <math>I = \frac{V}{R}</math> to get a current of 1.82 amperes

==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==

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

== 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?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

[[Category: Simple_Circuits]]

File:OhmsLawExample3.jpg

2015-12-05T23:16:39Z

Mtrussell6:

Ohm's Law

2015-12-05T22:44:35Z

Mtrussell6:

File:OhmsLawExample2.gif

2015-12-05T22:23:09Z

Mtrussell6:

File:OhmsLawExample1.png

2015-12-05T22:10:55Z

Mtrussell6:

Ohm's Law

2015-12-05T21:56:22Z

Mtrussell6:

Ohm's Law

2015-12-05T21:41:55Z

Mtrussell6:

Ohm's Law

2015-12-05T21:16:03Z

Mtrussell6:

File:OhmicCircuit.gif

2015-12-05T21:10:17Z

Mtrussell6: Basic Ohmic circuit

Basic Ohmic circuit

Ohm's Law

2015-12-05T20:52:58Z

Mtrussell6:

File:OhmsLaw.gif

2015-12-05T20:43:45Z

Mtrussell6: Equation for Ohm's Law

Equation for Ohm's Law

Ohm's Law

2015-12-05T20:42:28Z

Mtrussell6:

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
[[File:Example.jpg]]

==The Main Idea==

State, in your own words, the main idea for this topic
Electric Field of Capacitor

===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.

===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==

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

===Simple===
===Middling===
===Difficult===

==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==

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

== 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?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

[[Category: Simple_Circuits]]

Ohm's Law

2015-11-04T14:46:09Z

Mtrussell6:

WIP -- Claimed by Max Trussell

Short Description of Topic

==The Main Idea==

State, in your own words, the main idea for this topic
Electric Field of Capacitor

===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.

===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==

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

===Simple===
===Middling===
===Difficult===

==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==

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

== 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?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

[[Category: Simple_Circuits]]

Ohm's Law

2015-11-04T05:28:02Z

Mtrussell6:

Ohm's Law

2015-11-04T05:26:39Z

Mtrussell6:

Claimed by Max Trussell!

Short Description of Topic

==The Main Idea==

State, in your own words, the main idea for this topic
Electric Field of Capacitor

===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.

===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==

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

===Simple===
===Middling===
===Difficult===

==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==

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

== 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?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

[[Category: Simple Circuits]]

Ohm's Law

2015-11-04T05:24:28Z

Mtrussell6:

Ohm's Law

2015-11-04T05:22:50Z

Mtrussell6:

Short Description of Topic

==The Main Idea==

State, in your own words, the main idea for this topic
Electric Field of Capacitor

===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.

===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==

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

===Simple===
===Middling===
===Difficult===

==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==

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

== 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?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

[[Category:Simple Circuits]]

Ohm's Law

2015-11-04T05:22:15Z

Mtrussell6:

Ohm's Law

2015-11-04T05:21:36Z

Mtrussell6: Created page with " Template Short Description of Topic Contents [hide] 1 The Main Idea 1.1 A Mathematical Model 1.2 A Computational Model 2 Examples 2.1 Simple 2.2 Middling 2.3 Difficult 3 Co..."

Template
Short Description of Topic

Contents [hide]
1 The Main Idea
1.1 A Mathematical Model
1.2 A Computational Model
2 Examples
2.1 Simple
2.2 Middling
2.3 Difficult
3 Connectedness
4 History
5 See also
5.1 Further reading
5.2 External links
6 References
The Main Idea[edit]
State, in your own words, the main idea for this topic Electric Field of Capacitor

A Mathematical Model[edit]
What are the mathematical equations that allow us to model this topic. For example dp⃗ dtsystem=F⃗ net where p is the momentum of the system and F is the net force from the surroundings.

A Computational Model[edit]
How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript

Examples[edit]
Be sure to show all steps in your solution and include diagrams whenever possible

Simple[edit]
Middling[edit]
Difficult[edit]
Connectedness[edit]
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[edit]
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

See also[edit]
Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

Further reading[edit]
Books, Articles or other print media on this topic

External links[edit]
Internet resources on this topic

References[edit]
This section contains the the references you used while writing this page

Category: Which Category did you place this in?
Navigation menu
Mtrussell6TalkPreferencesWatchlistContributionsLog outPageDiscussionReadEditView historyWatch

Search
Go
Main page
Recent changes
Random page
Help
Tools
What links here
Related changes
Upload file
Special pages
Printable version
Permanent link
Page information
This page was last modified on 1 November 2015, at 21:38.
This page has been accessed 140 times.
Privacy policyAbout Physics BookDisclaimersPowered by MediaWiki

Main Page

2015-11-04T05:19:46Z

Mtrussell6: /* Simple Circuits */

__NOTOC__
Welcome to the Georgia Tech Wiki for Intro Physics. This resources was created so that students can contribute and curate content to help those with limited or no access to a textbook. When reading this website, please correct any errors you may come across. If you read something that isn't clear, please consider revising it!

Looking to make a contribution?
#Pick a specific topic from intro physics
#Add that topic, as a link to a new page, under the appropriate category listed below by editing this page.
#Copy and paste the default [[Template]] into your new page and start editing.

Please remember that this is not a textbook and you are not limited to expressing your ideas with only text and equations. Whenever possible embed: pictures, videos, diagrams, simulations, computational models (e.g. Glowscript), and whatever content you think makes learning physics easier for other students.

== Source Material ==
All of the content added to this resource must be in the public domain or similar free resource. If you are unsure about a source, contact the original author for permission. That said, there is a surprisingly large amount of introductory physics content scattered across the web. Here is an incomplete list of intro physics resources (please update as needed).
* A physics resource written by experts for an expert audience [https://en.wikipedia.org/wiki/Portal:Physics Physics Portal]
* A wiki book on modern physics [https://en.wikibooks.org/wiki/Modern_Physics Modern Physics Wiki]
* The MIT open courseware for intro physics [http://ocw.mit.edu/resources/res-8-002-a-wikitextbook-for-introductory-mechanics-fall-2009/index.htm MITOCW Wiki]
* An online concept map of intro physics [http://hyperphysics.phy-astr.gsu.edu/hbase/hph.html HyperPhysics]
* Interactive physics simulations [https://phet.colorado.edu/en/simulations/category/physics PhET]
* OpenStax algebra based intro physics textbook [https://openstaxcollege.org/textbooks/college-physics College Physics]
* The Open Source Physics project is a collection of online physics resources [http://www.opensourcephysics.org/ OSP]
* A resource guide compiled by the [http://www.aapt.org/ AAPT] for educators [http://www.compadre.org/ ComPADRE]

== Organizing Catagories ==
These are the broad, overarching categories, that we cover in two semester of introductory physics. You can add subcategories or make a new category as needed. A single topic should direct readers to a page in one of these catagories.

<div class="toccolours mw-collapsible mw-collapsed">
===Interactions===
<div class="mw-collapsible-content">
*[[Fundamental Interactions]]
*[[System & Surroundings]]

</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Theory===
<div class="mw-collapsible-content">
*[[Einstein's Theory of Relativity]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Properties of Matter===
<div class="mw-collapsible-content">
*[[Mass]]
*[[Charge]]
*[[Spin]]
*[[SI Units]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Contact Interactions===
<div class="mw-collapsible-content">
* [[Young's Modulus]]
* [[Friction]]
* [[Tension]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Momentum===
<div class="mw-collapsible-content">
* [[Vectors]]
* [[Kinematics]]
* Predicting Change in one dimension
* [[Predicting Change in multiple dimensions]]
* [[Momentum Principle]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Angular Momentum===
<div class="mw-collapsible-content">
* [[The Moments of Inertia]]
* [[Rotation]]
* [[Torque]]
* Predicting a Change in Rotation
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Energy===
<div class="mw-collapsible-content">
*Predicting Change
*[[Rest Mass Energy]]
*[[Kinetic Energy]]
*[[Potential Energy]]
*[[Work]]
*[[Thermal Energy]]
*[[Conservation of Energy]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Fields===
<div class="mw-collapsible-content">
* [[Electric Field]] of a
** [[Point Charge]]
** [[Electric Dipole]]
** [[Capacitor]]
** [[Charged Rod]]
** [[Charged Disk]]
** [[Charged Spherical Shell]]
*[[Electric Potential]]
**[[Potential Difference in a Uniform Field]]
*[[Magnetic Field]]
**[[Direction of Magnetic Field]]
**[[Bar Magnet]]
**[[Magnetic Force]]
**[[Hall Effect]]
**[[Lorentz Force]]
**[[Biot-Savart Law]]
**[[Integration Techniques for Magnetic Field]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Simple Circuits===
<div class="mw-collapsible-content">
*[[Components]]
*[[Steady State]]
*[[Non Steady State]]
*[[Node Rule]]
*[[Loop Rule]]
*[[Power in a circuit]]
*[[Ammeters,Voltmeters,Ohmmeters]]
*[[Current]]
*[[Ohm's Law]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Maxwell's Equations===
<div class="mw-collapsible-content">
*[[Gauss's Flux Theorem]]
**[[Electric Fields]]
**[[Magnetic Fields]]
*[[Faraday's Law]]
*[[Ampere-Maxwell Law]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Radiation===
<div class="mw-collapsible-content">
</div>
</div>

== Resources ==
* Commonly used wiki commands [https://en.wikipedia.org/wiki/Help:Cheatsheet Wiki Cheatsheet]
* A guide to representing equations in math mode [https://en.wikipedia.org/wiki/Help:Displaying_a_formula Wiki Math Mode]
* A page to keep track of all the physics [[Constants]]
* An overview of [[VPython]]