A rectangular conducting plate lies in the xy plane, occupying the region 0<x<a, 0<y<b. An identical conducting plate is positioned directly above and parallel to the first, at z =d. The region between plates is filled with material having conductivity σ (x) = σ0 e−x/a, where σ0 is a constant. Voltage V0 is applied to the plate at z = d; the plate at z = 0 is at zero potential. Find, in terms of the given parameters, (a) the electric field intensity E within the material; (b) the total current flowing between plates; (c) the resistance of the material.
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