A coaxial cable consists of a long solid inner cylindrical conductor, radius a, and a thin outer cylindrical conductor of average radius b>a. Suppose the inner conductor has a line charge density of +lambda while the outer conductor has a uniformly distributed charge of -lambda. Find the electric field (as a function of r) in a) inside the inner conductor, b) between conductors and c) the outside cable
The Attempt at a Solution
I would imagine using Gaussian cylindrical symmetry could help find the field for the inside and outside cable. However, I cannot figure out how to find the field between the conductors. A full explanation of this problem would be so greatly appreciated, as I am struggling to grasp the effect of oppositely charged conductors in electric fields. Thanks.