Two identical conducting plates, each having area A, are located at z 0 and z d The region between plates is filled with a material having z dependent conductivity, (z) 0 e z d , where 0 is a constant Voltage V 0 is applied to the plate at z d the plate at z 0 is at zero potential Find, in terms of...

Two identical conducting plates, each having area A, are located at z = 0 and z =

Question:

Two identical conducting plates, each having area A, are located at z = 0 and z = d. The region between plates is filled with a material having z-dependent conductivity, σ(z) = σ₀e^−z/d, 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 resistance of the material;

(b) The total current flowing between plates;

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