This chapter focuses on modeling the motion of charged particles and rigid bodies under the influence of electrostatic and electromagnetic forces. It first introduces the fundamental concepts of electrostatics and electromagnetism – force, field, potential, flux and so on – then uses these concepts to derive the equations governing the motion of charged particles and rigid bodies for different scenarios. Using a number of solved examples, this chapter also aims at introducing the various important applications where modeling the interaction of particles and rigid bodies with electrostatic and electromagnetic forces can be used in actuation, sensing, and energy generation.