Unformatted text preview: E ( z ) anywhere between the plates. Find the surface charge densities at z=0,D. 3) Consider the hollow conducting box studied in class. The inside surfaces at x=0,a, y=0,b, and z=0 are grounded. The inside surface at z=c is kept at constant potential V. Suppose the box is half ﬁlled, from z = 0 to z = c/2, with a dielectric of permitivity ± , what is the potential inside the box? Take a solution of Laplace’s equation inside and outside the dielectric and from the boundary conditions, including those at the dielectric interface, solve for all unknown coeﬃcients. One could solve for the Green’s function for this geometry. 1...
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 Spring '10
 Blecher
 Charge, Magnetism, Laplace, Fundamental physics concepts, charge density, volume charge density

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