Question

Gauss' Law question

Answer 1

How do you arrive at the divergence form of Gauss' Law from the surface integral form?

Also- which on is the one that you derive the other from, and what, in turn, can you derive THAT from?

Answer 2

Gauss divergence theorem.

Answer 3

change closed surface integral into volume integral ... and change the charge enclosed to volume integral of density ... equate the integrand and get the the desired result.

Answer 4

Usually you go this way:

Coulomb's law -> Integral Gauss's law -> Local Gauss's law

Answer 5

I need to read into more vector calculus...