1. The problem statement, all variables and given/known data A long line of charge with density λ (C/m) is surrounded by a concentric cylindrical conducting shell of inner radius R1 and an outer radius of R2. The shell carries a net charge of -2λ (C/m). Use Gauss' Law to determine the electric field as a function of the distance 'r' from the line of charge for a) 0 < r < R1 b) R1 < r < R2 c) r > R2 And d) What is the surface charge density σ (C/m2) on the inner and outer surfaces of the conductor? 2. Relevant equations E = λ/2∏ε0R E = Qencl/ε0 3. The attempt at a solution I don't quite see a way to find the Electric field of those three stated points. To start I thought about finding the electric field only for the middle line of charge, then finding the field for the shell and adding them together. I really don't know where to begin this problem though.. I know the first equation applies for the simple long ling of charge, but how can i find E of the shell? Also, to choose a gaussian surface, could I just simply enclose a section of both the middle line and the shell, with the outer edge of the gaussian cylinder at R2 in order to get the E outside both? If so, how can I find the bounds for the other two points?