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!

Strokes theorem

  1. Oct 5, 2006 #1
    Strokes theorem & Fourier series

    Respected guys.
    i need ur help ....urgent help bcoz tomorow is my paper.

    1);Verify strokes thorem for F=6zi+(2x+y)j-xk where S is upper half of circle x^2+y^2+z^2=1 bounded by close curve c x^2+y^2=1 at z=0 plane

    2):With the help of fourier Sine series and Fourier Cosine series
    f(x)=x+1 0<x<Π(pie)
    Deduce 1-1/3+1/5-1/7 --------------------- = Π(pie)/4
    1+1/(3^2)+1/(5^2)+1/(7^2)--------= Π^2/8
    Last edited: Oct 5, 2006
  2. jcsd
  3. Oct 5, 2006 #2


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    1) They want you to avaluate the surface integral. Then the path integral, and show that they have the same value, as predicted by Stoke's thm.

    2) Try evaluating both sides of the equation (i.e. f(x) = its fourier series) series at a precise point, such as x=0 for which all the sines vanish and all the cos become 1.
  4. Oct 6, 2006 #3
    well thz but can u explain it in more detail
  5. Oct 6, 2006 #4


    User Avatar
    Staff Emeritus
    Science Advisor

    Respect the problem as well as the 'guys'! What work have you done yourself? Quasar987 told you what you need to do. Do you know what Stoke's Theorem says? What is the line integral you need to do? What is the path integral.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Strokes theorem
  1. Stroke's Theorem (Replies: 4)

  2. Using Stroke's Theorem (Replies: 2)

  3. Green's Theorem (Replies: 2)