Assume that A = 50ρ2az Wb/m in a certain region of free space. (a) Find H and B. (b) Find J. (c) Use J to find the total current crossing the surface 0 ≤ ρ ≤ 1, 0 ≤ ϕ < 2π, z = 0. (d) Use the value of Hϕ at ρ = 1 to calculate ∮ H • dL for ρ = 1, z = 0.
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