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How does alternating current travel anywhere?

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I'm just learning the basics of electromagnetics and am a bit confused as to how ac works.

From my understanding, a rotating conductive wire in a magnetic field create a current that changes direction from positive to negative flow, modelled in accordance with the sine function.

But i was under the impression that to actually power something, it needs to flow from one terminal to the other.

How does the powering of my home appliances work if the current in a power line "ebbs and flows" so to speak, and doesnt actually travel a distance?

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