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education/physics/PHYS2220/Gauss's Law.md
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@@ -7,3 +7,5 @@ In the simplest case with a uniform field of magnitude $E$ perpendicular to an a
$$ \Phi = EA$$ $$ \Phi = EA$$
- $E$ refers to the amplitude - $E$ refers to the amplitude
- $A$ refers to the area - $A$ 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 $\Phi = EA\cos\theta$