12. A uniform volume charge density, p, = 60p C/m³, lies within the cylinder p = 1 m, and P, = 0 elsewhere. (a) Find D, everywhere. (b) What surface charge density Ps2 should be on the cylinder p = 2 so that Dolp=2- = 2Dplp=2+? (c) Plot D, vs. p for 0 < p < 5 with both charge distributions present.
12. A uniform volume charge density, p, = 60p C/m³, lies within the cylinder p = 1 m, and P, = 0 elsewhere. (a) Find D, everywhere. (b) What surface charge density Ps2 should be on the cylinder p = 2 so that Dolp=2- = 2Dplp=2+? (c) Plot D, vs. p for 0 < p < 5 with both charge distributions present.
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A uniform volume charge density, ρv = 60ρ C/m3 , lies within the cylinder ρ = 1 m, and ρv = 0 elsewhere. (a) Find Dρ everywhere. (b) What surface charge density ρs2 should be on the cylinder ρ = 2 so that Dρ|ρ=2°? (c) Plot Dρ vs. ρ for 0 < ρ < 5 with both distributions present.
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