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Check Divergence Theorem on Unit Cube

  1. Dec 28, 2008 #1
    1. The problem statement, all variables and given/known data
    Check the Divergence Theorem [itex]\int_V(\nabla\cdot\bold{v})\,d\tau=\oint_S\bold{v}\cdot d\bold{a}[/itex]

    using the function [itex] \bold{v}=<y^2, 2xy+z^2, 2yz> [/itex] and the unit cube below.

    Now when I calculate the divergence I get

    but Griffith's says that it is 2(x+y)

    before I continue, I need to know what the heck I am missing?
  2. jcsd
  3. Dec 29, 2008 #2


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    Homework Helper

    How did you get that? You should have [tex]\frac{\partial v_x}{\partial x} + \frac{\partial v_y}{\partial y} + \frac{\partial v_z}{\partial z}[/tex]. Check your first term [tex]\frac{\partial v_x}{\partial x}[/tex].
  4. Dec 29, 2008 #3
    Oh man. Thanks Defennder. I am a retard :smile:
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