- #1

- 15

- 0

how －∫(v)laplace functor *J*dτ change into -∮(s) J(n) dS using Gauss formula?

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- Thread starter dreamfly
- Start date

- #1

- 15

- 0

how －∫(v)laplace functor *J*dτ change into -∮(s) J(n) dS using Gauss formula?

- #2

Galileo

Science Advisor

Homework Helper

- 1,991

- 6

[tex]\int_V \vec \nabla \cdot \vec J d\tau = \oint_S \vec J \cdot d\vec S[/tex]

under the appropriate conditions on J, S and V.

This is the divergence theorem (also called Gauss' or Ostrogradsky's theorem). You cannot use Gauss' Law (if that is what you meant) to prove this. the divergence theorem is stronger and can be used to prove Gauss' law.

- #3

- 15

- 0

Share: