The improvements in the electrical and magnetic properties of the materials and also the advances in the manufacturing of the permanent magnets create an increase in the application of these components for braking and damping purposes. Moreover, considering the demand for new solutions in terms of automotive shock absorber to replace the classical viscous fluid ones, the Eddy Current dampers increasingly attracts the interest of the automotive industry and the researches. This study aimed to explore some features and design possibilities associated with the linear configuration of the Eddy Current damper. The study was performed evaluating the influence of the main parameters of the system, the main available commercial materials for manufacturing, possible design procedures and a study of some possible improvements associated with the conductor.