Gauss's Flux Theorem
This is a page about Gauss's Flux Theorem. A work in progress by Jeff Patz
The Main Idea
Gauss's Flux Theorem is a way of relating charge distribution to its resulting electric field.
A Mathematical Model
In words, the electric flux of a closed surface is equal to the total charge enclosed in the closed surface over the constant epsilon naught. The electric flux of a closed surface is also equal to the surface integral of the electric field evaluated over the closed surface.
[math]\displaystyle{ \Phi_E = \frac{Q}{\varepsilon_0} = \oint_C E\bullet dA }[/math]
Where E is the electric field, dA is the infinitesimal area in the direction of the electric field, and the dot denotes a dot product.
For the special case of a constant electric field, the electric flux is equal to the electric field over the closed surface multiplied by the area and the cosine of the angle between the two vectors.
[math]\displaystyle{ \Phi_E = EAcos(\theta) }[/math]
A Computational Model
How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript
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