The answer to this question depends too much on how this would be achieved.
If the driving force behind electricity stops working the universe ceases to exist. Atoms are held together by electromagnetic forces. Remove them and our universe falls apart. Without electromagnetism the force that would influence the remaining "dust" the most would be gravity. Places where there was a lot of stuff before the event (such as Planet Earth) would collapse into a black hole. Or, at least, if black holes still work as they did before the event. Eliminating a fundamental force from the universe is an action so disruptive that we can't even begin to predict what would happen.
If electricity didn't cease to exist but we are somehow rendered unable to use it, chaos breaks out. Governamental structures and infrastructure would quickly fall apart. 90%+ of the population would probably die in the chaos resulting from the ceasing of all electrical devices. The scenario is too complex (and depends, in part, on the finer points of why it exists in the first place) to give meaningful answers beyond "chaos". Simply changing the mentality of the next group that rises to power can completely change what human society will be like for centuries after the apocalypse.