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>'''Additivity''' | ||
:<math>F(a x)=a F(x) \,</math> | :<math>F(a x)=a F(x) \,</math> '''Homogeneity''' | ||
Revision as of 20:42, 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]Additivity
- [math]\displaystyle{ F(a x)=a F(x) \, }[/math] Homogeneity
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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.