Superposition Principle: Difference between revisions
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If given a number of vectors passing through a certain point, the resultant vector is given by simply adding all the the vectors at that point. For example, for a number of uniform electric fields passing though a single point, the resulting electric field at that point is given by | If given a number of vectors passing through a certain point, the resultant vector is given by simply adding all the the vectors at that point. For example, for a number of uniform electric fields passing though a single point, the resulting electric field at that point is given by | ||
<math>\vec{E}=vec{ | <math>\vec{E} = vec{E}_{1}+vec{E}_{2} +...+ vec{E}_{n} = \sum{i=1}^n\vec{E}_{i}</math> | ||
where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings. | where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings. | ||
Revision as of 23:41, 4 December 2015
The Superposition Principle states that the net result of multiple vectors acting on a given place and time is equal to the vector sum of each individual vector. For intro physics, this mostly relates to effect that multiple electric or magnetic fields and forces have on a certain location.
A Mathematical Model
If given a number of vectors passing through a certain point, the resultant vector is given by simply adding all the the vectors at that point. For example, for a number of uniform electric fields passing though a single point, the resulting electric field at that point is given by
[math]\displaystyle{ \vec{E} = vec{E}_{1}+vec{E}_{2} +...+ vec{E}_{n} = \sum{i=1}^n\vec{E}_{i} }[/math]
where p is the momentum of the system and F is the net force from the surroundings.
A Computational Model
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