Allowance for traps in certain space‐charge environments produces changes in the mathematical formalism which make it difficult to determine spatial variations in potential and the negative‐positive charge distribution. The trap‐free model for the blocking electrode can be extended into this realm by appropriate accommodation of the equations of continuity for specified kinetics of the trap system. The tendency of traps seems to be a moderation of the spatial fall‐off of potential with more gradual build‐up and decay of the charge densities. The nonlinear Poisson equation has been solved analytically by the development of powerful series methods, demonstrating that machine integration can be avoided.