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Given a vector field, show flux across all paths is the same.

  1. Jan 11, 2009 #1
    1. The problem statement, all variables and given/known data
    Given the vector field F=3x^2i-y^3j, show that the flux over any two curves C1 and C2 going from the x to the y axes are the same.

    2. Relevant equations
    Flux = int(F dot n ds) = int(Mdy - Ndx)
    divF = Ny + Mx


    3. The attempt at a solution
    We can show the divergence of the field is zero => Ny = -3y^2 and Mx = 3y^2
    so divf = Ny + Mx = 0... does this help in any way? Thanks
     
  2. jcsd
  3. Jan 12, 2009 #2

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    Try using Green's theorem.
     
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