A series config ypur speaking of would last longer than a parallel at a feasable wattage, same 3 packs.
If you vape say at 50w the total amount of vaping from the 3s 1500 @11v would be equal to or More than the 3p 4500 mah @3.7v
Yes the 1500 mah at 11v is will last you longer than 4500 at 3.7 At 50w!
Why. Do the math, at 50w the amperage load on the batteries with 11v is a fraction of that with 3.7v.
I respectfully disagree with your math.
50w with 3 1500mah in series at 11.1v:
50w ÷ 11.1v = 4.5amps drawn from each cell because they are in series and do not share current load.
50w with 3 1500mah in parallel at 3.7v:
50w ÷ 3.7v = 13.5amps but because the batts are in parallel they share the current load so 13.5amps ÷ 3 = 4.5amps.
There is only so much juice in each gas tank. It doesn't matter whether the tanks are connected in series or parallel you will run out of gas at the same distance down the road all other things being equal.
That said, this does not account for the fact that tc mods requiring higher voltage inputs run more efficiency. They do and are they are capable of running higher ohm builds at higher wattages but all at the expense of current. This holds especially true if you run batts in series that have less than perfectly matched internal resistances at higher wattages. Each batt in series has to pass the current from the proceeding batt and if it's internal resistance is greater than the proceeding batt it will drop more voltage and create heat. That affects efficiency because that heat is wasted energy. Series configs are fine but the batts need to have closely matched IRs to stay cool and efficient in high current applications.
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