Hello all... I have been working on this problem that I just am not being able to solve.(adsbygoogle = window.adsbygoogle || []).push({});

I've been spending my spare time learning some vector calculus and non-euclidean geometry (my aim is to be able to finally tackle relativity). After learning some basic things about the del function, I found that I had sufficient mathematical knowledge to be able to derive Maxwell's equations (well I thought I did).

I had a go at the first of the four. The way I am trying to do it is by taking Coulomb's law, writing it as a vector in three dimensions and then taking the divergence. I am hoping to get this from it:

[tex]\nabla{\mathbf{.E}} = \frac{\rho}{\epsilon}[/tex]

But I keep on getting 0. And I have no idea why...

Here is a scanned copy of my working, I would be very grateful if you could point out my errors (other than the minus sign maybe) to me.

Cheers.

http://postimage.org/image/q44ym4ro/ [Broken]

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# Gauss's Law

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