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A laptop power supply can supply a limited amount of power. Conceivably, then, when the computer is running, some of the power must be diverted to the processor and other components, leaving less to charge the battery. (Power usage is roughly 10 to 30 watts, or maybe more if you have a graphics card. In my case, my charger is rated for 65 watts.) Why doesn't my laptop battery charge while the laptop is in use? is an example of an extreme case. So it's plausible that this would affect charging speed.
So do laptops in fact charge significantly faster when turned off or asleep (while plugged into a sufficient power supply)?
There is not a single problem with you answering your own question, but please keep question and answer separate (i.e. post what is currently in the question area in the answer box, then you are free to accept your own answer) – Duijf – 2011-09-19T20:48:35.610
@Duijf: I'm not answering it; I just intended to give enough background information to establish its plausibility. Edited to clarify. – Mechanical snail – 2011-09-19T20:54:08.603
Apologies, it seemed like it. – Duijf – 2011-09-19T21:09:01.397