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Differentiate between calculating electric flux with a constant field and a varying field.
Constant Field: Use $\Phi_{E} = \vec{E} cdot \vec{A}$. Varying Field: Use $\Phi_{E} = \int \vec{E} cdot d\vec{A}$ (integration required).
How do you calculate total electric flux when the electric field is not constant?
Use the integral formula: $\Phi_{E} = \int \vec{E} cdot d\vec{A}$. Integrate the flux through infinitesimal area elements over the entire surface.
What are the steps to calculate electric flux with a constant electric field?
1. Determine the electric field vector $\vec{E}$. 2. Determine the area vector $\vec{A}$. 3. Calculate the dot product: $\Phi_{E} = \vec{E} cdot \vec{A}$.
What is electric flux?
A measure of the electric field passing through a given area.
Define area vector for closed surfaces.
A vector perpendicular to the surface, pointing outward.
What is positive electric flux?
Electric flux where the electric field and area vector point in similar directions (acute angle).
What is negative electric flux?
Electric flux where the electric field and area vector point in opposite directions (obtuse angle).
What is zero electric flux?
Electric flux where the electric field and area vector are perpendicular (90° angle).
Define area vector for open surfaces.
The direction of the area vector is determined by the problem context.