The Magnetic Levitation systems (MagLev) have important applications such as: levitation of superconductor materials, high speed transport, power interrupters (used as actuators) and elimination of electric arcs. Therefore, numerical and analytical modeling of MagLev is important. The aim of this work is to obtain the dynamic model of the MagLev with a simple electrical and magnetic treatment. The analytical solution thus obtained is valid for any system with the same characteristics. The Finite Element Method (FEM) is then used to extract mutual inductance. Finally, a comparison of simulations results against experimental ones, is performed.