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Estimating divF

  1. Apr 22, 2009 #1
    1. The problem statement, all variables and given/known data

    A vector field [tex] \vec{F} [/tex] has the property that the flux of [tex] \vec{F} [/tex] out of a small cube of side 0.01 centered around the point (2, 9, 11) is 0.003. Estimate div[tex] \vec{F} [/tex] at the point (2, 9, 11).


    2. Relevant equations



    3. The attempt at a solution

    can someone please help me how to solve this...
     
  2. jcsd
  3. Apr 23, 2009 #2

    dx

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    For a small volume ∆V, the flux of F out of the region is approximately equal to (∇⋅F)∆V. Use Gauss' divergence theorem to see this.
     
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