1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Flux of F through S

  1. Dec 3, 2008 #1
    1. The problem statement, all variables and given/known data
    Verify Stokes' Theorem for F and S
    S is the first octant portion of x+y+z=1

    2. Relevant equations

    3. The attempt at a solution
    I know that it should be equal to -1 from Stoke's theorem, but I keep getting 1/4 when I use the normal surface integral way. (I have to do it both ways)

    The integral I am using is
    [tex]\iint x^2 + y^2 + (1-x-y)^2[/tex]

    What am I doing wrong?? :(
  2. jcsd
  3. Dec 3, 2008 #2


    User Avatar
    Science Advisor
    Homework Helper

    I don't think you took the curl of F before you dotted with dS.
  4. Dec 4, 2008 #3
    “The line integral of [tex]\v{F}[/tex] around any closed contour C equals the surface integral (flux) of [tex]curl \v{F}[/tex] over any surface bounded by C


    Found these in some of my old undergrad notes...
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Flux of F through S
  1. Flux through a Sphere (Replies: 14)