Let us consider the size of coils a small 6 and a larger 12 since the flow of electricity must cover more ground or the electrons in this case it seems logical that it would take more energy but the speed of electricity is 186,000 miles per second and drain cause by the larger coil would be so minute it would make no practical difference. The following is something I found that has some interesting thought.
We are told, by physicists, that electricity travels the same exact speed, through a wire, that light travels through a vacuum (the famous speed c). There are two problems with that, aren't there?
Electricity is the flow of electrons. Electrons have mass. Relativity says that things with mass cannot travel at the speed c. Only things with no mass (zero rest mass) can (and must) travel at c.
Even light cannot travel at c, when it is travelling through other substances. Light slows down, to travel through glass, water, or air. So, how can electrons travel at c, through copper?
Well, it turns out that physicists are right; electricity does travel at c. Also, electrons do not travel anywhere near c, within a wire. Electricity travels at c, while electrons do not.
When an electron enters one end of the wire, an electron leaves the other end of the wire. This effect takes place at the speed of light (c). But, they were not the same electron. A different electron exited the wire. And that clears up my two objections, above.