Surface current is a current flowing in a plane, and has units of charge per unit time per unit length (measured in the direction in the same plane but perpendicular to the flow direction).
In cgs, the bound surface current due to magnetization is given by
where c is the speed of light, M is the magnetization, and is the unit normal vector, and in MKS
Bound Surface Current, Current, Current Sheet, Magnetization, Volume Current
