Free, Bound, and Mobile Charge Density

Abstract

Questions and difficulties are presented pertaining to the quantitative characterization of the electric field in certain scenarios. Specific examples concerning electrolytes are explored. Newton’s third law is invoked and the concept of mobile charge density is presented in relation to free charge density and bound charge density. The notion of mobile charge density is utilized to develop a theory and model for the electric field coupled with electrolytic properties and transport. Validations, simulations, and implications of the model are presented and discussed, including: is it possible to extend Maxwell’s equations to a more generalized form?