Gauss's law ∇·E(r) = ρ(r)/ε0 relates the electric field to charges. Learn the basic techniques to determine the electric field E(r) and/or the electrostatic potential 𝜙(r) for given charge distributions ρ(r)!
Using the charged ring potential we derive the potential and field for a homogeneously charged disk. Limiting cases and generalizations are discussed.
We find the solution to the electrostatic problem of a homogeneously charged sphere. The electrostatic potential and fields are calculated.
The potential of a finite line charge is calculated. Approximations are performed and shown to correspond to known results.
The electric field of two charges with opposite charge is calculated.
The field of a charge inside a metallic shell cavity is calculated. Screening is discussed.
The field of a point charge is derived from Maxwells equations.