For a given function: [tex]r^n\hat r[/tex], find its curl.(adsbygoogle = window.adsbygoogle || []).push({});

I formulated the divergence first. For the divergence: [tex]\nabla . (r^n\hat r) = (n+2)r^{n-1}[/tex] and the functon becomes a dirac delta at the origin in case ofn = -2.

For the curl:

Geometrically, the curl should be zero. Likewise, the curl in spherical coordinates obviously gives zero.

My question is how can one be certain that there is no Dirac Delta function lurking here(for the curl)? (My understanding of Dirac delta function is a bit poor, so additional explanations would help .)

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# Homework Help: Checking for delta function

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