Electric Flux

The Main Idea

Electric flux through an area is the electric field multiplied by the area of a plane that is perpendicular to the field. Gauss's Law related the electric flux through an area to the amount of charge enclosed in that area. Gauss's law must be used along a closed surface, but any chosen surface that contains the same amount of charge will give the same answer

A Mathematical Model

[math]\displaystyle{ \text{Electric Flux:} Φelectric ={ Q \over ε_0} }[/math]

[math]\displaystyle{ \text {Electric Flux:} Φelectric= \int \ {\vec{E}cosθdA} }[/math]

[math]\displaystyle{ \text{Gauss's Law for Electric Fields:} \oint{ \vec{E} \cdot d\vec{A} } ⃗= {Q\over ε_0} }[/math]

A Computational Model

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