Decomposition of a Divergenceless Vector Field

  • Thread starter Cunicultor
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  • #1
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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!
 

Answers and Replies

  • #2
HallsofIvy
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We can't answer that without knowing what "Tr" and "Pr" are.
 

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