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In order to understand why a metal conducts we have to know a little about the structure of metals. On a simple level we can imagine the metal as consisting of ions (metal cations) surrounded by electrons. These electrons are free to move through the structure of the metal. When there is no applied external electric field, the electrons move randomly. When an electric field is applied, however, the electrons will be attracted towards the more positive potential and the cations towards the more negative potential. It is only the electrons which are free to move and these migrate or travel towards the positive potential. The electrons are accelerated towards the positive potential and their energy (kinetic energy) increases. But as they move through the structure of the metal they collide with the metal ions, this has the effect of (a) slowing the electrons down and (b) transferring some of the electron�s energy to the metal. The speed that the electron travels, with all these collisions taking place, is typically 2 metres per hour. Of course in addition to slowing the electrons down, energy is transferred to the metal and this acts to heat up the metal. As the metal gets hotter and hotter, the metal ions vibrate more and more and so the number of collisions between ions and electrons increase, in effect the resistance to current flow increases. This is another characteristic of a metal; conduction decreases with increasing temperature.
However electricity is an apparent force and as such it is not that an electron moves over a specific distance that matters but rather that there is a net migration of these electrons. It is how quickly this migration is initiated which we observe when we 'flick the switch' and this is what tends to be called the Speed of Electricity, which is akin to the Speed of Light.