Coaxial Cable. 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. The central conductor and tube carry equal currents
I
in opposite directions. The currents are distributed uniformly over the cross sections of each conductor. Part A Derive an expression for the magnitude of the magnetic field at points outside the central, solid conductor but inside the tube ( a < r < b ). Express your answer in terms of the variables I , r , and magnetic constant \mu 0 . Part B Derive an expression for the magnitude of the magnetic field at points outside the central, solid conductor but inside the tube
(r>c)
Express your answer in terms of the variables I , r, and magnetic constant \mu 0 .