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Homework Help: Gradient of a Vector Function in Other Co-ordinate Systems

  1. Feb 25, 2010 #1
    1. The problem statement, all variables and given/known data
    I am trying to figure out how to take the gradient of a vector function in polar and spherical co-ordinates.


    2. Relevant equations



    3. The attempt at a solution
    I am aware of how the gradient of a vector function in cartesian co-ords looks, simply the second order tensor


    [tex]
    (\boldsymol{\nabla}\mathbf F)_{ij} = \frac{\partial F_i(\boldsymbol x)}{\partial x_j}[/tex]


    I am having trouble extending this idea to polar and spherical co-ords. The del operator is easy enough to derive in different co-ordinates but finding the second order tensor I am having difficulties.
     
    Last edited: Feb 25, 2010
  2. jcsd
  3. Apr 8, 2010 #2

    jca

    User Avatar

    Any luck figuring out how to take a gradient of a vector field in spherical coordinates? I am also stumped on this and would appreciate any insight you have. Thanks!
     
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