A coaxial cable consists of an internal solid cylindrical of radius a and a cylindrical conductive shell of radius b separated by a non-magnetic insulator (permeability the same as free space) Assuming the length of the cable as infinite and neglecting the thickness of the shell, find the following: 1. The "external" inductance per unit of length corresponding to the magnetic field between the two conductors. (10 points) 2. The "internal" inductance per unit of length corresponding to the magnetic field inside the inner conductor. (10 points) 3. The relation between the radii a and b that would make the value of these inductances to be the same. Would such cable have any practical value?
