• Support PF! Buy your school textbooks, materials and every day products Here!

How to use Gauss formula here?

  • Thread starter dreamfly
  • Start date
15
0
how -∫(v)laplace functor *J*dτ change into -∮(s) J(n) dS using Gauss formula?
 

Answers and Replies

Galileo
Science Advisor
Homework Helper
1,989
6
Do you mean

[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.
 
15
0
ok thanks! it's just our teacher told us to prove this equation by Gauss' theorem.and now i've known the process.thanks!
 

Related Threads for: How to use Gauss formula here?

  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
1
Views
1K
Replies
2
Views
1K
  • Last Post
Replies
4
Views
351
Replies
4
Views
2K
  • Last Post
Replies
2
Views
519
Top