A physics-based model is presented to simulate the electrochemical behavior of mixed ion and electron conducting (MIEC) cathodes for intermediate-temperature solid oxide fuel cells. Analytic solutions for both transient and impedance models based on a finite length cylinder are derived. These solutions are compared to their infinite length counterparts. The impedance solution is also compared to experimental electrochemical impedance spectroscopy data obtained from both a traditional well-established Electrochemical impedance spectroscopy (EIS) has been widely employed in SOFC research as a useful tool to obtain the polarization resistance (R p ) of an electrode material through either a symmetrical or asymmetrical cell configuration.1 Under most circumstances, experimental impedance spectra are mathematically fitted to equivalent circuit models (ECMs), producing a series of parameters including R p . The problem with this ECM approach is that the fitting process does not consider the actual physical/chemical mechanisms that occur at the electrode surface and in the electrode. This ECM approach is particularly problematic for an electrode reaction involving multiple simultaneous charge-transfer and mass-transfer processes.2,3 A number of alternative approaches have, therefore, been proposed to circumvent this problem, including the distribution function of relaxation time (DRT) method, 4,5 utilization of the porous electrode theory coupled with the transmission line method, 6 differential impedance analysis 7,8 and establishing a physics-based model. 2,9 Since the latter physics-based approach is built on the actual mechanisms involved in electrode reactions, it is generally considered a high-fidelity approach. While the numerical solution of the physics-based model is more rigorous, it is usually time-consuming, especially for a multi-variable optimization problem. On the other hand, obtaining an analytic solution to a physics-based mathematical model is a good alternative because it can be used to interpret the physical processes, and also demands less computational time.To obtain an analytic solution to the electrochemical impedance of a porous electrode, a good representation of the electrode microstructure is a key. Kenjo et al. 10 considered a thin-film model to study the effects of creating reaction zones within the electrodes on polarization. Tanner et al.11 simulated complex porous structure of the electrode with regularly spaced corrugations of the electrolyte material decorated with discrete electrocatalyst particles. By coupling with reaction and diffusion kinetics, they were able to obtain analytic solutions for potential distributions across the electrode. Nicholas et al., 12,13 Fleig et al.,14 Bidrawn et al. 15 and Lu et al. 9 extended Tanner's work by using an array of cylinders or other similar shapes to represent the porous electrode structure. On the other hand, efforts have also been devoted to represent the actual microstructure of a porous electrode with mathematical and experimental metho...