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