A coaxial cable has inner radius a and outer radius b$.($a$)$ Assuming the inner conductor carry charge with a linear charge density of $+2,$ use Gauss law to calculate the electric field between two conductors.$($b$)$ Calculate the capacitance per unit length of the cable.$($c$)$ Assuming a current $/$ is passing through the inner conductors, use Ampere's Law to calculate the magnetic field between the two conductors.$($d$)$ Calculate the inductance per unit length of the cable.