ABSTRACT
Several electromagnetic devices present cylindrical geometry; this type of symmetry is also called axisymmetric geometry, an anachronism of axial geometry. These devices present, necessarily, a rotation axis so that any plane passing by this axis presents the same cross section. Some examples of devices that present axisymmetric geometry are cylindrical actuators, transmission line isolators, and coaxial cables. As the plane is symmetrical, both the electric and magnetic fields have only two components at the cross section. Thus, in axisymmetric geometry, the electromagnetic fields present only radial and axial components. In axisymmetric electrostatics, all conductors present cylindrical geometry. A typical axisymmetric electrostatics problem consists of a set of energized “toroidal” conductors separated by ideal dielectrics. This chapter illustrates the solution of a typical problem of magnetostatics in axisymmetric geometry.
