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## Main Question or Discussion Point

Does anyone know how to find the actual charge dustribution on a conductor? More like the alignment of all the charges on a conductor? I know that the electric field should be zero everywhere on the conductor and that on pointy edges there is more charge buildup, but I have no idea how to find the actual distribution or alignment of the charges. I know it must be very difficult, but I also think that there must be a way. I know that for a sphere the charge should be uniformly distributed but what about for a conductor in the shape of a brick? Or a triangular prism etc. There should be some mathematical approach to finding this out, no?