General Physics 2: Chapter 23- Gauss' Law

Electric Flux

measures how much the electric field 'flows' through an area

Gauss’ Law

Relationship between charge and electric field

Gaussian Surface

a closed, three-dimensional surface used to calculate the flux of a vector field, such as an electric, magnetic, or gravitational field.

Electric Flux Equation

Total/Net Flux Equation

Flux Directions

inward = negative, outward = positive, skimming = 0

Gauss’ Law Equation

Gauss’ Law w/ Flux equation

Electrostatic Equilibrium

a state where there is no net motion of charge within a conductor

Excess charge on isolated conductor

The amount of excess charge will move to the surface, none will be found within the conductor.

Gauss’ Law, Conducting Surface Equation

E=/e₀

Line of Charge

distribution of electric charge along an infinite, uniform straight line

Line of Charge Equation

E=/2pie₀r

Sheet of Charge

field produced by a hypothetical flat surface of infinite size

Sheet of Charge equation

E= /2e₀

Gauss’ Law, center charge Shell Theorem

“a shell of uniform charge attracts/repels a charged particle outside the shell as if all the shell’s charge was concentrated at the center.”

r>R, E=1/4pie₀R³)r

r<R, E=0

Gauss’ Law, electrostatic force Shell Theorem

'“if a charged particle is located inside a shell of uniform charge, there isn electrostatic force on the particle from the shell.”

Uniform charge, r <R, E= (q/4pie₀R³)r

Gauss’ v. Coulomb's law

Both describe relationship between charge and electric field