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Estimating divF

  • Thread starter -EquinoX-
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  • #1
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Homework Statement



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).


Homework Equations





The Attempt at a Solution



can someone please help me how to solve this...
 

Answers and Replies

  • #2
dx
Homework Helper
Gold Member
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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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