This article is not written for physicists, engineers, or anyone else so technically trained. If it were, it would read as follows: "Electricity is a vague term used to variously refer to the many aspects of electromagnetic phenomena."
If you want to keep that sentence, and cover your bases, you could reword as "the flow of electric charge, the potential to cause the same." And in any case, the escape clause already exists as "there’s so much behind that simple statement."