Question

. (Target E3) Consider two long, solid, concentric cylinders made of nonconducting material.The inner cylinder has a radius a and charge density \rho_{1}=\rho_{0} \frac{a}{r+a} where po is a constant, and r is the radial distance from the cylinder axis. The outer cylinderhas a radius b = 2a and a charge density \rho_{2}=\rho_{0} \sqrt{\frac{b}{r+b}}+\rho_{0}\left(\frac{1}{2}-\sqrt{\frac{2}{3}}\right) Determine the electric field for any distance r from the center of the cylinders' axis.

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