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)

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