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Start with a^^^^ ^^ ^^^ ^ ^^ ^^^^^^^^^^^^
metallic sphere which has some charge Q. It is uniformly distributed
over the smooth surface. Now supply the same Q to another sphere
of the same radius which but has a sharp needle sticking out.
Will most of the Q be concentrated near the sharp point? I would say yes.
Each sharp edge of a cylinder is like a set of many needles. But
I am not at all certain that this is correct because curving along the
edge is much less rapid than curving across the ridge.
Doesn't this discussion remind you of a medieval debate on
how many angels can reside ...? We need a 3-D simulation.
Ludwik Kowalski