I am curious to know if any time dilation takes place within an electrical conductor when electricity is flowing through it.
It is my understanding that an electrical current (electromagnetic waves) moving inside of an electrical conductor, such as a copper wire, typically travels at about 1/100th of the speed of light.
This makes me wonder, when taking the Theory of Special Relativity into consideration, if the electromagnetic waves traveling through the copper wire at 1/100th of the speed of light would have any effect on the rate of Time taking place within or around the copper atoms of the wire.
Say for example that a length of copper wire at an electrical power plant continuously conducts electricity for 100 years. This copper wire is then removed from the power plant and is carbon dated. Next, say that you then take a piece of copper wire that did not conduct any electricity during those 100 years and that is carbon dated. I would like to know if there would be an age difference between the two copper wires.
I would like to point out that I am not a physicist and I am asking this question simply out of scientific curiosity.
Does any time dilation take place within an electrical conductor when electricity is flowing through it?