Superposition principle: Difference between revisions

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This topic covers Gravitational Potential Energy.
This topic covers the Superposition Principle
 
==The Main Idea==
==The Main Idea==
The net electric field due to two or more charges is the vector sum of each field due to each individual charge. This not only applies to Electric Fields, but Magnetic Fields as well. It is important to note that in the superposition principle, the electric field caused by a charge is not affected by the presence of other charges.


State, in your own words, the main idea for this topic
:<math>F(x_1+x_2)=F(x_1)+F(x_2) \,</math>{{pad|3em}}'''Additivity'''
Electric Field of Capacitor


===A Mathematical Model===
:<math>F(a x)=a F(x) \,</math>{{pad|10em}}&nbsp;'''Homogeneity'''


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


This section contains the the references you used while writing this page
Chabay, Ruth W.; Sherwood, Bruce A. (2014-12-23). Matter and Interactions, 4th Edition: 1-2 (Page 522). Wiley. Kindle Edition.


[[Category:Which Category did you place this in?]]
[[Category:Which Category did you place this in?]]

Revision as of 20:41, 15 November 2015

This topic covers the Superposition Principle

The Main Idea

The net electric field due to two or more charges is the vector sum of each field due to each individual charge. This not only applies to Electric Fields, but Magnetic Fields as well. It is important to note that in the superposition principle, the electric field caused by a charge is not affected by the presence of other charges.

[math]\displaystyle{ F(x_1+x_2)=F(x_1)+F(x_2) \, }[/math]Template:PadAdditivity
[math]\displaystyle{ F(a x)=a F(x) \, }[/math]Template:Pad Homogeneity


A Computational Model

How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript

Examples

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Middling

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References

Chabay, Ruth W.; Sherwood, Bruce A. (2014-12-23). Matter and Interactions, 4th Edition: 1-2 (Page 522). Wiley. Kindle Edition.