Question AC adapter

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I have just a simple electrical question:

Can a more powerful AC adapter reduce the charging time of a lithium ion battery? I believe, there is a maximum of power which makes sense. Over that point, it’s not possible to reduce the recharging time, because then, the bottleneck is the accumulator.
So the necessary power is related to the maximum capacity (or count of cells), if the cells are parallel (which is the normal case as far as I know).

And only if the AC adapter doesn’t have enough power, the voltage will go down and the charge current will go down also. Then over the time, the voltage will go up, so more the battery has been recharged. The result is a longer period of charging till the voltage is at its maximum point. Is that correct so far?

Background is that I just ordered a secondary AC adapter for a laptop with a bit more power than the original one (just because I haven’t found the original AC adapter) and I asked me this question...
 
If you charge lithium cells themselves - then yes.
Li-* cells are charged in CC, CV sequence - Constant Current, then Constant Voltage.
A cell connected to a power supply will just absorb all the current it can get (then swell, vent, ka-boom), so the current must be limited. Once the cell reaches a certain voltage, it can no longer draw all the current it's allowed to, so the charger maintains it at a constant voltage, by reducing the allowed current.
CC is normally at the safety limit of the cell, usually a rate equal to it's capacity (1C).

(Google ohm's law, li-ion charging, and so on).

But, if you talk about a laptop, then all bets are off, since the charge controller is inside the laptop itself (not the AC adaptor).
It might charge with smaller adaptor, it might not.
It might charge with larger adaptor, it might not.
Really depends on how it is built.

Most likely the laptop will just draw as much current as the original adaptor was providing, wasting the new one's capacity.
 
Theoretically, you can charge lithium ion batteries as fast as you want to, but you just have to be careful of the heat you generate (kaboom). So, you can charge it faster with a more powerful charger, but you may end up with a bomb instead of a battery.

Seeing as you are talking about an AC charger for a laptop, there should be limiting charger circuitry so there won't be problems. As to whether or not it goes faster, that depends on your laptop and the circuitry that it has.
 
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