- #1
jameson2
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Homework Statement
Consider the vector field [tex] \vec F=\frac{\vec r}{r^3}[/tex] with [tex]\vec r=x\hat{i}+y\hat{j}+z\hat{k} [/tex]. Compute the flux of [tex] \vec F[/tex] out of a sphere of radius "a" centred
at the origin.
Homework Equations
The Gauss Divergence Theorem [tex]\int_D dV \nabla \bullet F=\int_S F\bullet dA [/tex]
The Attempt at a Solution
I think I'm either missing or not understanding something in this question. When I compute [tex] \nabla \bullet F[/tex], I get zero, which means the flux is zero, I think. But this doesn't seem right at all. What am I missing?