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Decomposition of a Divergenceless Vector Field

  1. Mar 16, 2004 #1
    Viva!


    I usually come upon this statement:

    " Since B is solenoidal, it can be split into Toroidal and Poloidal parts, i.e, B=Bt+Bp, where Bt=curl(Tr) and Bp=curlcurl(Pr)"


    How can I prove this??

    I think it is somehow related with the stokes theorem...


    Looking forward for someone to explain me this, once for all.
    Cheers!
     
  2. jcsd
  3. Mar 17, 2004 #2

    HallsofIvy

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    Science Advisor

    We can't answer that without knowing what "Tr" and "Pr" are.
     
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