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Divergence of Spherical Coordinates

  1. Feb 15, 2012 #1
    1. The problem statement, all variables and given/known data

    Compute the divergence of v = (1/(r^2)) r where r = sin(u)cos(v)i + sin(u)sin(v)j + cos(u)k, r^2 = x^2 + y^2 + z^2

    3. The attempt at a solution

    I can only think to express r as a function of x,y,z and do it. I know there's a simpler way though, but it's driving me crazy. I can't find anywhere how to do this.
  2. jcsd
  3. Feb 15, 2012 #2


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    Look up what the form of the divergence operator is in spherical coordinates.
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