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Flux through a box? And divergence as a limit?

  1. Feb 23, 2012 #1
    Let F=(7z+8)i+2zj+(2z+7)k, and let the point P=(abc), where a, b and c are constants. In this problem we will calculate div F in two different ways, first by using the geometric definition and second by using partial derivatives.

    (a) Consider a (three-dimensional) box with four of its corners at (abc), (a+wbc), (ab+wc) and (abc+w), where w is a constant edge length. Find the flux through the box.

    Thus, we have
    div F(xyz)=lim/(w->0) = (BLANK/BLANK) = 2



    I solved the div F to be 2... don't know how to solve for flux or the lim.

    the lim in the text book is written as lim ϵ-> 0 (3/4piϵ**3) o∫∫[F.NdS]

    thanks for the help!
     
  2. jcsd
  3. Feb 23, 2012 #2
    OK so might be confusing... trying to solve the fraction, i know the lim equals 2.

    also trying to solve flux.
     
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