Naked Science Forum
Non Life Sciences => Physics, Astronomy & Cosmology => Topic started by: malik on 03/06/2008 09:54:56
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A grounded, infinite circular cylindrical conductor of radius a lies in a previously uniform electric field,
with its axis perpendicular to E0 as in the figure.
a. Show that V = - E0 (1 - a2/ ρ2)ρcosφ satisfies Laplace's equation.
b. Find E at ρ2 >> a2 and at ρ= 0. Do those values make sense?
[diagram=352_0]
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by using this equation
V(r,θ) = ∑ [Al r^l + Bl r^-(l+1)] Pl(cos θ) where last term is legender polynomial.
this is the general solution of Laplace equation in spherical coordinate.
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I see we correspondents are being weighed in the balance and found wanting, I rather thought this forum was for the amateur enthusiast and not for a source of information on such esoteric subjects
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Life's too short to be solving someone's homework problems :-)
Try this site:
http://web.mit.edu/6.013_book/www/book.html
and read chapter 5