This chapter first reviews the basic oneand two-port circuit elements and then highlights the basic characterization and impedance inverting property of the gyrator. To place the scope and the contents of this monograph in the right perspective, this chapter then discusses several other issues such as commercially available passive inductors and Coilcraft, difficulties in micro-miniaturization of inductors, integrated circuit spiral inductors on the chip and use of ANSYS and COMSOL software in the analysis and characterization of on-chip inductors. The chapter ends by highlighting the need for and the importance of the simulated inductors which constitute a dominating topic in this monograph.