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notes/education/physics/PHYS2220/Gauss's Law.md
2026-01-07 21:22:20 -07:00

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Flux

Flux refers to a flow of matter or energy. Examples include water through a pipe, blood through veins, or air over an airplane's wing.

While there's nothing directly flowing in an electric field, the term flux is used to describe the total strength of a field.

In the simplest case with a uniform field of magnitude E perpendicular to an area A, the flux is described as follows:

\Phi = EA
  • E refers to the amplitude
  • A refers to the area

If the area is tilted relative to the field, then the strength of the field is reduced by a factor of \cos \theta, where \theta is the angle between the electric field \vec{E} and a vector \vec{A} that's normal to the surface. This generalizes our flux equation to \Phi = EA\cos\theta .


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