method of images:

For a conducting surface in yz plane and a q somewhere along the x axis, solution is the same as if there was no plane and a charge of -q at -x along the axis. Solution is then: tex2html_wrap101

This can be generalized to 2 conducting surfaces at right angles. ... etc.

Method of images also works for spherical symmetry. Let sphere at origin, grounded and charge q distance p outside of sphere. Then image charge at q' at p' has a relationship: tex2html_wrap102 and tex2html_wrap103 . So tex2html_wrap104 . Can then calculate a force: tex2html_wrap105



source psfile jl@crush.caltech.edu index
boundary_value_problem