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

I'm trying to model the potential field in and around a symmetrically charged disc where the charge density drops exponentially from the center.

2. Relevant equations

This can be done by solving the double integral:

[tex]\int ^{2 \pi} _{0} \int ^{\infty} _{0} \frac{r e^{-r/b} (a-r sin \theta)}{(r^2 + a^2 - 2 r a cos \theta)^{3/2}} dr d \theta[/tex]

a is the observation radius, b is the scalar length of the charge density distribution, r and theta are polar coordinates. So essentially I'm looking for a result of the form V(a).

3. The attempt at a solution

I've been trying to attack this using substitution of variables without much result. It could be done numerically but I would greatly prefer a symbolic solution.

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# Homework Help: Tricky Double Integral

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