We can define the flux of a uniform and constant vector field, \(\vec E\), through a flat surface, as: \[\begin{aligned} \Phi_E = \vec E \cdot \vec A = EA\cos\theta\end{aligned}\] where, \(\vec A\), i...We can define the flux of a uniform and constant vector field, \(\vec E\), through a flat surface, as: \[\begin{aligned} \Phi_E = \vec E \cdot \vec A = EA\cos\theta\end{aligned}\] where, \(\vec A\), is a vector that is perpendicular to the surface with a magnitude equal to the area of that surface, and, \(\theta\), is the angle between \(\vec A\) and \(\vec E\).