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Divergence in cylindrical coordinate system

  1. Oct 14, 2007 #1
    I am trying to understand the derivation of the divergence formula in cylindrical coordinates. This paper does a good job of explaining it but I don't understand 2 things that the author does.
    [tex]\frac{\partial\hat{\rho}}{\partial\phi} = \hat{\phi}[/tex] and [tex]\frac{\partial\hat{\phi}}{\partial\phi} = \hat{\rho}[/tex]
    Derivation is on page 3.
    Can anyone help me understand this?
  2. jcsd
  3. Oct 14, 2007 #2


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    go back to page 1: "derivation of unit vectors with the coordinates"
  4. Sep 5, 2010 #3
    As note below, one finds z^ etc (unit vector), in variation vectors does the differentiation with respect to [tex]\rho[/tex],[tex]\phi[/tex], z

    Now my question is how do you find

    [tex]\overline{}[/tex][tex]\rho[/tex] (line above, could not get that to work)= x [tex]\widehat{}[/tex]x+ y [tex]\widehat {}[/tex]y
  5. Sep 5, 2010 #4
    that one is found in page 1 of the link
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