Question: Let J = 25/a 20/( 2 + 0.01) a z A/m 2 . (a) Find the total current crossing the plane z =

Let J = 25/ρaρ − 20/(ρ2 + 0.01) az A/m2.

(a) Find the total current crossing the plane z = 0.2 in the az direction forρ < 0.4.

(b) Calculate ∂ρν/∂t.

(c) Find the outward current crossing the closed surface defined by ρ = 0.01, ρ = 0.4, z = 0, and z = 0.2.

(d) Show that the divergence theorem is satisified for J and the surface specified in part (c).

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