1. Limited time only! Sign up for a free 30min personal 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 in open cylinder

  1. May 3, 2009 #1
    1. The problem statement, all variables and given/known data

    A vector field [tex] \vec{G} [/tex] in 3-space is defined outside the cylinder [tex] x^2 + y^2 = 4 [/tex]


    [tex] \vec{G} = \frac{6y\vec{i}-6x\vec{j}}{x^2+y^2} [/tex]

    Find [tex] \int\limits_S \vec{G} \cdot · d\vec{A} [/tex] where S is the open cylinder [tex]x^2 + y^2 = 16 , 0 \leq z \leq 7 [/tex] oriented outward.

    2. Relevant equations



    3. The attempt at a solution

    I am planning to use divergence theorem here... can I use it?
     
  2. jcsd
  3. May 3, 2009 #2
    use also cilndric coordinates ;)
     
  4. May 3, 2009 #3
    it's kind of hard to find the divergence here... is it just:

    [tex] \frac{24xy}{(x^2+y^2)^2} [/tex]

    at least that's what I got. How do I parametrize the open cylinder?
     
  5. May 4, 2009 #4
    What does it mean defined outside the cylinder?
     
  6. May 5, 2009 #5
    I am actually confused my self with that... as far as my understanding goes it just means the direction points outwards...

    someone care to correct me and give me more help to solve this problem?
     
  7. May 6, 2009 #6
    Usually it mean that inside the cylinder and on its boundaries the field is null. Think about electrostatics ;)

    MM
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Flux in open cylinder
  1. Flux through cylinder (Replies: 1)

Loading...