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This paper presents a novel SPICE compatible partial-element equivalent-circuit (PEEC) model for general linear medium. In this new model, the magnetized current in conductive magnet and fictitious magnetized current through the magnetic interface are considered, as well as conduction current in conductor and polarization currents in a dielectric, to model the magnetization and conduction loss effect of a conductive magnet. Corresponding equivalent circuits are derived. The magnetic field couplings between inductive cells are taken into account as current controlled current sources to avoid the time-consuming calculation of time derivatives. The new model was applied in 3-D magnetically enhanced inductor structure analysis and antenna modeling. Obtained results are compared with those obtained from commercial numerical electromagnetic simulation software and show good agreement.