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I'm having trouble with the following problem:

The spherically symmetrical electrostatic potential of a particular object is given (in spherical coordinates) by:

[tex]V(\vec{r})=V(r)=c\frac{exp{(\frac{-2r}{a})}}{4\pi\varepsilon r} (1+\frac{r}{a})[/tex]

I found the electrostatic field in spherical coords (I think it's right),

[tex]\vec{E}(\ver{r})=\frac{c}{4 \pi \varepsilon} (\frac{2}{a r} +\frac{1}{r^2} +\frac{2}{a^2}) exp(\frac{-2 r}{a})\hat{r}[/tex]

Now I'm looking for the charge density [itex]\rho(\vec{r})[/itex] in spherical coords.

My problem is with representing the singularities with the Dirac Delta function.

I'm not sure how to do this.

Any help would be greatly appreciated.

Thanks

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# Delta function help

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