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Finding L

  1. Aug 2, 2008 #1
    1. The problem statement, all variables and given/known data

    I need to find the circulation of F through out the line L.
    I know I need to use stokes theorem, the problem is, how do I find the area of L?
    I mean, I know the intersection line of the sphere and the plot looks like an ellipse on the XY surface, but how do I find the boundaries? should I switch to polar?

    2. Relevant equations

    3. The attempt at a solution

    Attached Files:

  2. jcsd
  3. Aug 3, 2008 #2


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    Science Advisor
    Homework Helper

    Hi asi123! :smile:

    No, it's not an ellipse:

    L is the intersection of x2 + y2 + z2 = 6 and 3x - 4y - z = 0,

    which is the intersection of a sphere with a plane,

    so it's a circle.

    And the plane goes through the origin, which is also the centre of the sphere.

    Does that help? :smile:
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