Question: Given the field H = 20 2 a A/m: (a) Determine the current density J. (b) Integrate J over the circular surface

Given the field H = 20ρ2aϕ A/m:

(a) Determine the current density J.

(b) Integrate J over the circular surface ρ ≤ 1, 0 < ϕ < 2π, z = 0, to determine the total current passing through that surface in the az direction.

(c) Find the total current once more, this time by a line integral around the circular path ρ = 1, 0 < ϕ < 2π, z = 0.

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