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This letter presents a compact nonlinear and frequency-dependent equivalent circuit model for microinductors with thin-film magnetic cores. The model is suitable for many existing microinductor geometries. It captures magnetic saturation and eddy currents and electric field coupling in a physically meaningful manner and can be directly implemented in commonly used circuit simulators. The new model lends itself for simple extraction from standard biased small-signal impedance analyzer measurements. We demonstrate the performance of the proposed model for a representative measured NiFe inductor. The results of the extracted model are in good agreement with the measurements.