The electrical contact between the armature and rail is acknowledged as imperfect electrical contact (ImPEC), exhibiting characteristics distinct from bulk behavior. It is important to understand the current distribution of the ImPEC for future design and optimization. This paper proposes ImPEC boundary conditions by combining the contact layer model (CLM) and the Cooper-Mikic-Yoranovich model (CMYM), and the current distribution is numerically studied. Variations in the contact pressure and current density with time are analyzed. The results show a rapid increase in the contact pressure and area during the current ramp-up stage, being constant in the flat stage, and a gradual decline in the current ramp-down stage. The current path changes with the contact area, and the current shifts from the trailing edge to the leading edge over time. Additionally, comparative calculations are performed to analyze current variations under dynamic contact. Results suggest that the current distribution is influenced by magnetic diffusion and forced shifts of current caused by dynamic contact.