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Physics, Astronomy & Cosmology / How does an infinite circular cylindrical conductor behave in an electric field?
« on: 03/06/2008 09:54:56 »
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]
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]