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Feynman's fan
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Here is the problem statement:
I thought it's a straightforward exercise on the divergence theorem, yet it looks like [itex]\operatorname{div} f = 0 [/itex]. So the surface integral is zero?
Am I missing some sort of a trick here? The exercise isn't supposed to be that easy.
Any hints are very appreciated!
Compute the surface integral
[itex]\int_{S^2}f \cdot n \ dS \ \ [/itex] where [itex] f(x,y,z)=(y^3, z^3, x^3)^T [/itex]
I thought it's a straightforward exercise on the divergence theorem, yet it looks like [itex]\operatorname{div} f = 0 [/itex]. So the surface integral is zero?
Am I missing some sort of a trick here? The exercise isn't supposed to be that easy.
Any hints are very appreciated!
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