(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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.

2. Relevant equations

The Gauss Divergence Theorem [tex]\int_D dV \nabla \bullet F=\int_S F\bullet dA [/tex]

3. 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?

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# Homework Help: Flux of vector field proportional to 1/r^3 through sphere

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