A cylindrical wire of radius a is oriented with the z axis down its center line. The wire carries a nonuniform current down its length of density J = bρ az A/m2 where b is a constant. (a) What total current flows in the wire? (b) Find Hin (0<ρ<a), as a function of ρ; (c) find Hout(ρ > a), as a function of ρ; (d) verify your results of parts (b) and (c) by using ∇ × H = J.
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