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Re: Confused by a derivation.



Regarding John Mallinckrodt's comment:
...
1 that we genuinely do have planar symmetry, i.e., there is no
fringing field (this is the key), and
...
For real capacitors assumption 1 is violated and the result does
not hold although the violation is typically quite minor.

Since last year I was able to find the exact expression for the
capacitance to infinity of a thin circular disc, I thought I
might try my hand at trying to exactly solve for the capacitance
of a pair of parallel oppositely charged circular plates so as to
see explicitly and analytically the effects of the fringing field
as a function of the plate separation. So far I haven't come up
with a solution. But if I do, I post it. Maybe the exact solution
is just too hard; we'll see. So far it's too soon to tell.

David Bowman
David_Bowman@georgetowncollege.edu