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Maxwell's 1st Equation (div d = vol. charge density)

Hi, I have a situation in cylindrical coordinates such that I know the volume charge density but what to calculate the Electric Flux Density D.

The problem is that the volume charge density is a complex function: a * sin(k * pi * rho) and my limits of integration are awkward, so my question is, is it possible to just partially integrate the divergence of d (in cylindrical coordinates) in order to obtain my result? I didn't try it, but it seems like an easier approach to the problem.

Thanks
Brian
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BrianGEFF719
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1 Solution

Commented:
Brian,

Unless you want a mathematically exact solution, you can probably go for a close-enough solution by doing a partial -- if some of the variables have trivial values or would only have a small impact.

This also depends on how you want to apply the result.

Tell us the particular function that applies to your situation, and about the magnitude of the variables that apply.

Then maybe I or someone else can provide help.

regards

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Commented:
Forgot to ask.  If this is homework, you need to tell us so that we provide help, but not the solution.
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Author Commented:
WaterStreet, I've since solved the problem by fighting through the nasty integration.

But thanks for the suggestion.

Brian
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