Hi, Marshall, Thanks for your reminder that equations must always give way to experimental observations, in the final analysis.
The ability of LVDC electrolysis to generate a sol of metallic silver in distilled water is made directly visible to the naked eye by the shiny slicks of metallic silver that collect at the surface when the electrolysis goes on too long. Sometimes these slicks form at the electrodes, but sometimes not. Thanks for also reminding us that there is a difference between electrons and charges. Current is is a flow of charge, not just a flow of electrons. In fact, current can even exist without charge; Maxwell called this the displacement current. He realized that electromagnetic waves could not propagate without such chargeless current. Current without electron flow happens routinely in the rectifiers we use to convert AC to DC for our electrolysis apparatus. The p-type material in diodes, if heavily doped, has virtually no free electrons. But current flows nonetheless. Best regards, Matthew