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As I explained a minute ago, it is better to avoid a cyliner
because it has sharp edges. To be realistic you must
assume they are not "infinitely sharp" and intruduce
the radius of curvature at some level. I suggested that
we do this at the level of the thickness. The surface
of the disk becomes smooth.
There is no problem inherent in sharp edges. Total charge
converges in a well-behaved manner, even if charge density
does not. Do you disagree with my cylinder-to-disc sequence?
Leigh