I have myself a 12v 1600maH battery pack which I put to a 12v 2700maH fan. The fan starts up without hickups. But I was wondering how it is that the battery pack could run something which requires a highter amps rating.
A fully loaded 1600maH battery will run a 1600maH device for an hour. Will it also run a 3200maH device for half an hour? And a 6400maH device for a quarter of an hour?
1600maH is not the only parameter, for example if your device can work on a voltage range from 11.8V to 12V and consume 1600mA. Saying that your device will work properly for an hour is a wrong assumption. Indeed the voltage will fall down and probably that few minutes after starting your device wil stop. (For a Fan, this is not very important, the consumption is high while starting and the fan components are not voltage sensitve).