What is the function of a copper-coil electronic component?

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What is this(copper-coil one)?
 

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That's an inductor. It works by opposing a change in current, and if used in conjunction with capacitors it works as a resonant tank which can oscillate at some frequency.

Given a lot of ceramic caps around the coil, it would indicate that the circuit is some kind of a wireless receiver, transmitter, or a filter.
 


wat is tis?
 

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It is a coil of wire.

It may have a "slug" of powdered Iron or Ferrite inside it on a screw thread. This would make its inductance variable. This would look grey or black and would have a slot or a hex hole in it for use with an insulated screwdriver.

If it has other windings that are not visible in the picture, it would be a transformer.