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Prerequisites
- Dot Product (for finding the components of vector field perpendicular to surface)
- Cross Product (for finding unit vector normal to surface)
- Electric Field as vector field (for calculating electric flux)
- Surface Element in Rectangular and Curvilinear Coordinates (finding unit vector normal to surface)
- Scalar Surface Integrals (for finding total flux)
- Volume Element in Rectangular and Curvilinear Coordinates (for finding total enclosed charge for Gauss' Law)
- Volume Integrals (for finding total enclosed charge for Gauss' Law)
- Charge Density (for finding total enclosed charge for Gauss' Law)
- Total Charge (for Gauss' Law)
- Partial Derivatives (for derivation of the Divergence Theorem)
- Limit Definition of Derivative (for derivation of the Divergence Theorem)
Related Prior Homework
- CrossTriangle: students calculate the unit vector normal to a slanted surface
Optional:
- Theta Functions (for special charge distributions)
- Delta Functions (for special charge distributions)