Two parallel circular plates of radius a are located at z 0 and z d The top plate (z d) is raised to potential V 0 the bottom plate is grounded Between the plates is a conducting material having radial dependent conductivity, () 0 , where 0 is a constant (a) Find the independent electric field strength, E, between plates (b) Find the current density, J between plates (c) Find the total current, I, in the structure (d) Find the resistance between plates

Question: Two parallel circular plates of radius a are located at z = 0 and z = d. The top plate (z = d) is raised

Two parallel circular plates of radius a are located at z = 0 and z = d. The top plate (z = d) is raised to potential V₀; the bottom plate is grounded. Between the plates is a conducting material having radial-dependent conductivity, σ(ρ) = σ_0ρ, where σ₀ is a constant.

(a) Find the ρ-independent electric field strength, E, between plates.

(b) Find the current density, J between plates.

(d) Find the resistance between plates.

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