Two perfectly conducting cylindrical surfaces of length ℓ are located at ρ = 3 and ρ = 5 cm. The total current passing radially outward through the medium between the cylinders is 3 A dc. (a) Find the voltage and resistance between the cylinders, and E in the region between the cylinders, if a conducting material having σ = 0.05 S/m is present for 3<ρ<5 cm. (b) Show that integrating the power dissipated per unit volume over the volume gives the total dissipated power.
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