>So can I think of the 9V battery ... as an infinitely phased AC source as long as that makes more sense to me?
A 9V battery is not AC.
How many wires would it take for an infinitely phased source? Infinite.
How many wires do you have? Two.
Therefore, it could not be infinitely phased.
In DC current, actual electrons actually make the one-way round trip carrying energy to the load; whereas in AC electrons mainly slosh back and forth where they are pumping energy along.
