A family of four static dc-to-square-wave transistor inverters has been analyzed employing state-plane techniques to describe the quasi -harmonic mode of oscillation commonly encountered in this family, as well as the less familiar relaxation oscillation and its limiting case, discontinuous oscillations. Design guidelines are provided through a study of the sensitivity of parameter changes which affect the oscillation characteristics of the inverter and its frequency stability. The analysis of one particular inverter of this family in which the avalanche breakdown of the transistor emitter-to-base junction occurs is presented. Finally the starting characteristics of this family of inverters are discussed with two illustrative examples. It is shown in this paper that close relationships exist between the family of LC tuned inverters and the previously analyzed saturable-core transistor inverters.