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Dirac's delta with azimuthal symmetry [closed]
I often see the following:
$$\delta\left(\boldsymbol{r}-\boldsymbol{r_{0}}\right)=\frac{1}{r^{2}\sin\theta}\delta\left(r-r_{0}\right)\delta\left(\theta-\theta_{0}\right)\delta\left(\varphi-\varphi_{0}\...
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Electric field on the boundary of a continuous charge distribution
In Purcell and Morin's Electricity and Magnetism, 3rd Edition, the claim is made that the magnitude of the electric field on the boundary of a continuous charge distribution is finite (assuming the ...
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