Vector Calc Homework Help! Divergence Free Vector Fields

  • Thread starter leext101
  • Start date
  • #1
5
0

Homework Statement


Let S be the ellipsoid where a,b, and c are all positive constants.
x2/(a+1)+y2/(b2)+z2/(c2) = 1

→ → → → →
Let F = (r - ai) / ||r - ai|| [* r and i are vectors = I tried inserting the arrows]

a)Where is F undefined?
b)Find divF at points where divF is defined.
c) Find ∫s F dA.


Homework Equations


Divergence theorem


The Attempt at a Solution


I know that the divF=0 making it a divergence free vector field, but I am not sure how to solve for the flux through the ellipsoid.

I really would like to understand the actual concept of divergence free theorems and a step by step explanation would really help.

Thanks for your time and help!
 

Answers and Replies

Related Threads on Vector Calc Homework Help! Divergence Free Vector Fields

  • Last Post
Replies
10
Views
2K
  • Last Post
Replies
1
Views
896
  • Last Post
Replies
4
Views
1K
Replies
3
Views
6K
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
2
Views
810
  • Last Post
Replies
2
Views
902
Q
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
6
Views
1K
Replies
10
Views
2K
Top