when the ac is on, there's more load, and they max out the output of the alternator, and the battery is supposed to help out the alternator at those moment at low idle ( below 1k rpm) but because most 4cyl battery is pretty wimpy ( in case of my 06 accord 4cyl) it couldn't help out my alternator to provide the system with enough amp. so i went with the v6 version battery and it has enough juice to help out the alternator at low idle , once the car starts moving and the rpm increasing over 1k rpm, the alternator start providing more amp , enough juice for the system and it also start recharging the battery. in the case of switching to a bigger battery, u need to upgrade ur ground , positive, frame and transmission ground cables to more beefier cables to handle more amp going through them. don't switch to a too over the top battery, switch to a slightly bigger ( 500 amp to 650 amp) and u should be fine. if u switch to double the output then u need to upgrade ur alternator to a higher output alternator also to be able to keeping up with recharging the double size battery, cause the stock one would have to work twice as hard to keep up then burn out quickly.