The continuity equations are solved in the Faraday dark space for an idealized geometry. By invoking the superposition principle, the electric field may be divided into two components: one of which is responsible for maintaining charge neutrality, and the second of which is responsible for current flow. By conceptually dividing the electric field in this way, it is possible to visualize easily the transitions in the current-carrying mechanisms in the Faraday dark space as the anode-cathode separation is increased. The criteria for the appearance of a positive column is also clearly illustrated.