A solid cylinder, with radius a, contains a uniform charge density ρ. The cylinder is coaxially aligned (see figure 2) inside a cylindrical shell, with radius b, carrying a charge per unit area σ. If σ = −a2ρ/2b, and ρ is positive, use Gauss's law to find the electric field as a function Figure 2. Problem 2. of distance from the central axis in the following regions. (a) r < a (b) a < r < b (c) r > b.