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This letter proposes a circuit model capable of predicting the bandwidth and resonance frequency of a well-known artificial magnetic conductor (AMC). The AMC is composed of an array of Jerusalem cross-shaped frequency selective surfaces (FSSs) (JC-FSS) deployed on a thin PEC-backed dielectric slab. The model benefits from the static (Quasi-TEM) closed-form equations, available in literature for the characteristic impedance of microstrip transmission lines. These equations enable the model to incorporate the influences of the slab thickness on the FSS impedance, a feature that the available models have not been able to offer exactly. In order to check the competence of the model, some sample AMCs are designed by the model, and their properties are verified by numerical analysis.