AP Physics C: Gauss's Law

Gauss’s Law

point charge

point charge in metal shell

metal shell with net charge Q, surrounding point charge q

r<a

a<r<b

r>b

metal shell with net charge Q
r<a

a<r<b

r>b

insulating charged sphere of charge density 𝜌

r<R
r>R

insulating charged sphere of total charge Q_o

r<R

r>R

Insulating charged shell given charge density 𝜌

r<a

a<r<b

r>b

insulating charged shell given total charge Q_o

r<a

a<r<b

r>b

insulating sphere with charge density 𝜌(r)

r<R

r>R

insulating charged shell given charge density 𝜌(r)

r<a

a<r<b

r>b

line of charge

insulating cylinder with charge density 𝜌

r<R

r>R

insulating cylinder with non-uniform charge density 𝜌(r)

r<R

r>R

insulating hollow cylinder of charge density 𝜌

r<a

a<r<b

r>b

insulating hollow cylinder of non-uniform charge density 𝜌(r)

r<a

a<r<b

r>b

infinite insulating charged plane