Volume charge density is located as follows: = 0 for < 1 mm and

Volume charge density is located as follows: ρ_ν = 0 for ρ < 1 mm and for ρ > 2 mm, ρ_ν = 4ρ μC/m³ for 1 < ρ < 2 mm.

(a) Calculate the total charge in the region 0 < ρ < ρ₁, 0 < z < L, where 1 < ρ₁ < 2 mm.

(b) Use Gauss’s law to determine Dρ at ρ = ρ₁.

(c) Evaluate D_ρ at ρ = 0.8 mm, 1.6 mm, and 2.4 mm.