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Divergence theorem help

  1. Oct 13, 2013 #1

    joshmccraney

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    hey pf! i had a general question with the divergence theorem. specifically, my text writes [tex]\iint_S \rho \vec{V} \cdot \vec{dS} = \iiint_v \nabla \cdot (\rho \vec{V})[/tex] where [itex]\rho[/itex] is a scalar, although not necessarily constant! to properly employ the divergence theorem, would i first let [tex]\rho \vec{V}=\vec{V'}[/tex] where [itex]\vec{V'}[/itex] is the vector to use the divergence theorem with, thus offering the first written result?

    thanks!
     
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  3. Oct 14, 2013 #2

    arildno

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    That is correct.
     
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