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I'm looking for a Mathematica program/function with which I'd be able to specify two objects in 3D space, each at a different surface potential, and then the program would calculate (using Finite Element Analysis I assume?) the electric field in the region around them, allow me to integrate that field over some region, and also let me see the field as a vector field or cool contour plot like this.

I've searched some and found stuff like this page of Mathematica demonstrations, but they're all either too specific (just one type of shape) or too simple.

Does anyone know of a more general program that already exists? Thank you!

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    $\begingroup$ I think this is an interesting question, that would be fun answering, but it is too broad as written. If you could include a couple examples, with shapes and corresponding charge distributions, and ask for a function that returned a plot of the field given those inputs, then it could be answered. $\endgroup$ – Jason B. May 19 '16 at 19:48
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    $\begingroup$ For 3D problems, see also I'd like to display field lines for a point charge in 3 dimensions. $\endgroup$ – Jens May 20 '16 at 2:29
  • $\begingroup$ @jens I've actually managed to solve the problem using jens solution and some other stuff, thank you! $\endgroup$ – YungHummmma May 20 '16 at 14:19
  • $\begingroup$ @YungHummmma Then it is common practice to answer your own question. Share it with us. $\endgroup$ – nilo de roock Aug 23 '18 at 13:11