Superposition principle: Difference between revisions
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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. | 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>F(x_1+x_2)=F(x_1)+F(x_2) \,</math> | :<math>F(x_1+x_2)=F(x_1)+F(x_2) \,</math> | ||
:<math>F(a x)=a F(x) \,</math> | :<math>F(a x)=a F(x) \,</math> | ||
Revision as of 20:57, 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]
- [math]\displaystyle{ F(a x)=a F(x) \, }[/math]
A Computational Model
How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript
Examples
Simple
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This picture shows the electric field at the location of q3. Note that the Electric Fields of both q1 and q2 were both calculated individually (but do not react because of one another) and summed up to get the net electric field
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
Further reading
Books, Articles or other print media on this topic
External links
Instructional video on how to calculate the net electric field using the superposition principle
References
Chabay, Ruth W.; Sherwood, Bruce A. (2014-12-23). Matter and Interactions, 4th Edition: 1-2 (Page 522). Wiley. Kindle Edition.