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LiFePO4 batteries have been in existence since 1997 through the work of Padhi et al and showed promise early on due to its material abundance, low cost, low environmental impact, high temperature tolerance and theoretical capacity of 170mAh/g. Much work has been done in optimizing the cathode, electrolyte and anode materials to yield excellent results. In contrast, little work has been done in developing an accurate, physical-based model for LiFePO4 behavior. Most "models" are based from Electrochemical Impedance Spectroscopy (EIS) and used to fit the data obtained. It is easy to build several vastly different models to describe the same data, so it is therefore important to define a model based upon the physical properties of the cell. In doing so correctly it may then be possible to simplify that model while maintaining precision allowing it to be more useful to other fields. In this work, different EIS measurements were taken at uniform states of charge (SOC) and from a developed physical-based model a LiFePO4 battery was accurately described for steady-state conditions.