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A small piece of copper wire acts as an antenna because of the nature of the copper and the way it reacts to the radio (electromagnetic or EM) signal that it is "feeling" as it is sitting there. An EM wave is a moving electromagnetic wave, and it "sweeps" everything in its path of travel. Some things don't react well to it, and others, like our copper wire, "feel" it with ease. The moving electromagnetic field sweeps the little copper wire and induces a voltage in it that is a "just like" the signal that is making the wire react, except that the voltage is much smaller. This tiny signal can be picked up by the electronics in the "front end" of the receiver to which the wire is attached, and it can be amplified and then demodulated to discover what is "on" the signal. If you have, say, a TV with a type "F" connector in the back (for coaxial cable) and you stick a short piece of thin copper wire in the center of the connector, it will act as an antenna and you will be able to pick up local signals (though the signal quality may not be very good). It's a simple and easy way to check the operation of a TV if you don't have any other means available. Just be careful as regards what you are doing, and don't use too large a wire.

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Q: How does a small piece of copper wire act as an antenna?
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