A filamentary conductor on the z axis carries a current of 16 A in the azdirection, a conducting shell at ρ = 6 carries a total current of 12 A in the −az direction, and another shell at ρ = 10 carries a total current of 4 A in the − az direction. (a) Find H for 0<ρ<12. (b) Plot Hϕ versus ρ. (c) Find the total flux Φ crossing the surface 1<ρ<7, 0<z<1, at fixed ϕ.
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