A coaxial cable consists of a solid inner conductor of radius R1 surrounded by a concentric cylindrical tube of inner radius R2and outer radius R3 (the figure). The conductors carry equal and opposite currents I0 distributed uniformly across their cross-sections. (Figure 1)
Figure 1:
Part A
Determine the magnetic field at a distance R from the axis for R<R1.
Express your answer in terms of some or all of the variables R, R1, R2, R3, I0, and appropriate constants.
Part B
Determine the magnetic field at a distance R from the axis for R1<R<R2.
Express your answer in terms of some or all of the variables R, R1, R2, R3, I0, and appropriate constants.
Part C
Determine the magnetic field at a distance R from the axis for R2<R<R3.
Express your answer in terms of some or all of the variables R, R1, R2, R3, I0, and appropriate constants.
Part D
Determine the magnetic field at a distance R from the axis for R>R3.
Express your answer in terms of some or all of the variables R, R1, R2, R3, I0, and appropriate constants.
