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Vector identity

  1. Mar 8, 2007 #1

    Kolahal Bhattacharya

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    1. The problem statement, all variables and given/known data

    I am to show: closed integral {phi (grad phi)} X (n^)dS=0

    2. Relevant equations



    3. The attempt at a solution

    I understand I am to use divergence theorem here.but cannot approach.Please help
     
    Kolahal Bhattacharya, Mar 8, 2007
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  3. Mar 8, 2007 #2

    Dick

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    Is 'X' supposed to mean a cross product between the normal vector and the gradient?
     
    Dick, Mar 8, 2007
  4. Mar 8, 2007 #3

    Kolahal Bhattacharya

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    yes.It means that.
     
    Kolahal Bhattacharya, Mar 8, 2007
  5. Mar 9, 2007 #4

    Dick

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    Try using [tex]\int_S n \times a dS = \int_V curl(a) dV[/tex].
     
    Last edited: Mar 9, 2007
    Dick, Mar 9, 2007
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