The purpose of this paper is to begin to investigate the use of the commercial particle in cell (PIC) code MAGIC for simulations of Dielectric Barrier Discharges (DBD). We only treat discharges of very short duration in pure N2 at atmospheric pressure. The only particle creation - destruction effect we consider is the ionization of N2 by electron impact. The important effect of charge exchange of an ion with its parent gas is not included. Therefore the the drag collision frequency applied to the ions is smaller than it should be, which exaggerates the kinetic energy of the ions in these simulations. The discharge is so fast that the neutral atoms have no time to move and are considered to be at rest. We calculate the momentum imparted to the neutral gas during each time step by collisions with the ions and electrons and also the total accumulated momentum density imparted to the neutral gas during the entire discharge. This has been called the electrohydrodynamic (EHD) force.