A coaxial cable consists of a solid inner conductor of radius Ri, surrounded by a concentric outer conducting shell of radius Ro. Insulating material fills the space between the conductors. The inner conductor carries current to the right, and the outer conductor carries the same current to the left down the outer surface of the cable, as shown in the figure below. Using Amp's law, derive an expression for the magnetic field in three separate regions of space: inside the inner conductor, between the two conductors, and outside of the outer conductor. (Use the following as necessary: μ0, i, r, and Ri. Do not substitute any values or variables for μ0.)