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

Flux problem

  • Thread starter kasse
  • Start date
  • #1
366
0

Homework Statement



The following vector field is given: F = < x + y^3, y, z - y^3 >

Let T be the solid given in cylinder coordinates by: r [0,1], tetha [0, pi], z [0, 2]

Find the flux out of the curved part of the surface of T.

2. The attempt at a solution

The normal vector n is < x, y, 0 >

F*n is therefore 1 + xy^3

Then I need dS = sqrt(1 + zx2 + zy2) dx dy. Is this simply 1 dx dy?
 

Answers and Replies

  • #2
Dick
Science Advisor
Homework Helper
26,258
618
But x and y aren't the variables you are going to integrate over, are they? Don't you want to integrate over theta and z? (You are sort of right, in the sense that dS is independent of the integration variables, if you choose them correctly).
 

Related Threads for: Flux problem

  • Last Post
Replies
5
Views
1K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
9
Views
1K
  • Last Post
Replies
4
Views
1K
  • Last Post
Replies
6
Views
3K
  • Last Post
Replies
3
Views
3K
Top