The important mechanisms of energy flow in a quasi-isobaric magnetic fusion device are studied. In Part I of this paper, the spatial profiles of plasma parameters that yield acceptable values of Qdt and plasma dimensions are determined. These prof lies are determined by balancing the dominant terms in the differential energy equations, i.e., conduction, brems-Strahlung, and collisional energy exchange, against each other. One class of equilibria was identified for a more detailed study. In Part II, the contributions of inelastic processes, radiation transport, and alpha-particle slowing down to the differential energy balances for electrons and ions are examined. Bremsstrahlung loss is found to be the dominant term for electrons. Inelastic processes involving hydrogen are important for ions in the fusion “core.” Impurity radiation can be important even with a low impurity content. Energy deposition by alpha particles is significant in the high-density edge, while cyclotron radiation transport plays some role in regions with large density gradients.