I am currently doing a project on electrolysis, and I was wondering if the reduction potential (ie. $E^0$) will affect the rate of electrolysis. In other words, across different cells with differing $E^0$ values, is there a trend in the rate of electrolysis of these cells? Why or why not? I have seen other similar questions but all were talking about the ease of discharge/selective discharge of ions, which is not what I am looking for.