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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 Qo
r<R
r>R
Insulating charged shell given charge density 𝜌
r<a
a<r<b
r>b
insulating charged shell given total charge Qo
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