Field of the parallel plate capacitor

[adashiu]

Homework Statement

A vacuum parallel plate capacitor is given. Its plates are of
thickness h, width L (in the plane of the figure) and their distance is
D. The plates of the capacitor are
perpendicular to the plane of the figure, which is at the same time the
symmetry plane of the capacitor (our problem is two-dimensional).
The electrical field around the plates should be computed (especially
outside of the capacitor).

I need to implement this in SciLab. The thing I know is that i should make a matrix of all points and for each point calculate electrial field using Laplace Transform.

I am totally green with physics in general. Any suggestion will be appreciated.

 

[vela]

I think you mean Laplace's equation, not the Laplace transform.

Try looking into numerical solutions of Laplace's equation. If I recall correctly, there's a pretty simple method involving averaging four nearby points, though it probably doesn't converge very quickly.