Tue 6 May 2008
As I have mentioned, the semester is winding down and projects are piling up. To help move things along, I have written a pair of documents that outline how to determine the conductivity of a plane (and volume) with a conducting disk (and sphere) of arbitrary size in the middle. I solved Laplace’s equations in both polar and spherical coordinate systems, then used boundary conditions to determine the electric potential and then determined the ratio of applied field to current density to determine the conductivity in the presence of the suspended object. I have checked these early drafts over a few times, however, there may still be some mistakes remaining, so please be warned. Also, feel free to post questions and I will make an attempt to answer them.
( disk-efield.pdf )
P.S. The photo-op was staged during my last vacation, I would never use Classical Electrodynamics as a coaster.
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