The actual question I'm asking is if a battery already has enough power to run a fan and the fan has a magnet/ copper coil electric generator mechanism attached to it and running back to the battery, would it last longer?
In this example we are assuming the battery is able to be recharged.
As far as I have read the majority of large scale electric power is produced basically and ultimately by having magnets moving/spinning near/through copper components.
So the fan would have a similar mechanism connected to whatever adequately and consistently spinning/moving parts there maybe.
A good example is the alternator in gas powered cars that recharges the battery by using a similar mechanism as described above connected to moving parts within the engine.
Obliviously the in the gas powered car the battery could recharge itself totally as long as there were gas to power the car. In the "fan example" it would eventual run out I assume. The question being would it last longer?