This article presents applications of an electrochemical model that can predict concentrations and electric current distributions assuming neither electroneutrality nor negligible concentration gradients. This numerical model is used to analyse two cases: a liquid-junction and a lithium-ion cell. For both cases, it is shown how the inclusion of charge density effects on the electric field is beneficial. For the case of a liquid-junction the predicted potential gradient is compared with values experimentally and numerically determined by other researchers. For the case of a charging lithium-ion cell, a phenomenon seen experimentally (but not previously reported by other models) is predicted. (c) 2011 Canadian Society for Chemical Engineering