The thing that makes electricity want to move is called “electromotive force” and is typically described using “volts”. In direct-current or DC systems, you’re getting a stream of new electrons into your wire or device. In alternating-current or AC systems, you’re getting (kinda) the same electrons moving back and forth, like a saw might.
You could say that electricity has mass, but “electricity” is not a well-defined term in common use. It could be referring to electric charge, which cannot exist without matter, which has mass. Or it could be referring to electric current, which is just really describing the motion of those charges (no mass).
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