Gauss's Law Equations

This is a study set for flashcards, if you want a set for tests, go to my profile and select the testing set. This outlines every gauss's law equation neccessary for AP physics C electricity and magnetism.

Electric field of a point charge

Electric field of a point charge in a metal shell if r < a

Electric field of a point charge in a metal shell if a < r < b

Electric field of a point charge in a metal shell if r > b

Electric field of a metal shell with net charge Q, surrounding point charge q if r < a

Electric field of a metal shell with net charge Q, surrounding point charge q if a < r < b

Electric field of a metal shell with net charge Q, surrounding point charge q if r > b

Electric field of a metal shell with a net charge Q if r < a

Electric field of a metal shell with a net charge Q if a < r < b

Electric field of a metal shell with a net charge Q if r > b

Electric field of an insulating charged sphere of charge density ρ if r < R

Electric field of an insulating charged sphere of charge density ρ if r > R

Electric field of an insulating charged sphere of total charge Q if r < R

Electric field of an insulating charged sphere of total charge Q if r > R

Electric field of an insulating charged shell given charge density ρ if r < a

Electric field of an insulating charged shell given charge density ρ if a < r < b

Electric field of an insulating charged shell given charge density ρ if r > b

Electric field of an insulating charged shell given total charge Q₀ if r < a

Electric field of an insulating charged shell given total charge Q₀ if a < r < b

Electric field of an insulating charged shell given total charge Q₀ if r > b

Electric field of an insulating sphere with charge density ρ ( r ) if r < R

Electric field of an insulating sphere with charge density ρ ( r ) if r > R

Electric field of an insulating charged shell given charge density ρ ( r ) if r < a

Electric field of an insulating charged shell given charge density ρ ( r ) if a < r < b

Electric field of an insulating charged shell given charge density ρ ( r ) if r > b

Electric field of a line of charge for all r

Electric field of an insulating sphere with charge density ρ if r < R

Electric field of an insulating sphere with charge density ρ if r > R

Electric field of an insulating sphere with non-uniform charge density ρ ( r ) if r < R

Electric field of an insulating sphere with non-uniform charge density ρ ( r ) if r > R

Electric field of an insulating hollow cylinder of charge density ρ if r < a

Electric field of an insulating hollow cylinder of charge density ρ if a < r < b

Electric field of an insulating hollow cylinder of charge density ρ if r > b

Electric field of an insulating hollow cylinder of non-uniform charge density ρ ( r ) if r < a

Electric field of an insulating hollow cylinder of non-uniform charge density ρ ( r ) if a < r < b

Electric field of an insulating hollow cylinder of non-uniform charge density ρ ( r ) if r > b

Electric field of an infinite insulating charged plane