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

Calculate E inside and outside an infinite cylinder of uniform volume charge density using the differential form of Gauss's law.

2. Relevant equations

[tex]\nabla[/tex] E = [tex]\frac{p}{e0}[/tex]

p = charge density

Divergence in cylindrical polars:

3. The attempt at a solution

I'm aware this is much easier using the integral form. I have no problem with calculating E field of various symmetrical shapes using the integral form. However I specifically have to use the differential form. I've never seen an example of this and have looked for quite a while, and I'm not really sure what I'm doing at all.

All I can think is that by symmetry, differential of E in terms of theta and z are zero, but this still leaves an awkward derivative of E in terms of r, and I'm not sure what to do at that point.

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# Homework Help: Odd Gauss's Law question

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