In: Physics
A solid conductor with radius a is supported by insulating disks on the axis of a conducting tube with inner radius b and outer radius c in the following figure. Each is infinitely long. Let the z-axis be the central axis of both the solid conductor and the conducting tube. The central conductor carries a current I, in the direction indicated, and the tube carries a current I, in the opposite direction. The currents are distributed uniformly over the cross sections of each conductor. Using Ampere's Law and symmetry derive the magnitude of the magnetic field in the region between the conductors-- that is, for r b). Show all steps between a and b (a < r < b). Show all steps.