Electromagnetic launcher (EML) is a prominent candidate for transporting payloads to the earth orbits or deep into space. Major space powers have been developing EMLs for a long time either nationally or internationally. Although a lot of progress has been made, some technological barriers still exist. Further studies are required to overcome these challenges. These research and manufacturing activities include, not only experimental and theoretical studies, but also simulations. In this paper, a small-scale EML is simulated. During simulation, magnetic flux density and self-induction are calculated using the Monte Carlo methods. These findings are validated with the analytical solutions taken from the literature and found to be identical. These values are used to solve coupled equations of motion and electric circuits. Finally, this paper ends with the presentation of current and velocity profiles in the time domain.