Running 50 watts through a 1 ohm coil draws just over 7 amps,. Running 50 watts through a 0.5 ohm coil draws 10 amps. More amp draw, less time between charges.
The key point you're missing is that that's all on the
output side of the chip. Here's how it was explained to me a few weeks ago when I had this exact same confusion:
The battery itself can only ever output a single voltage (generally somewhere between 3.5 and 4.2v, depending on its charge state -- let's assume for simplicity's sake that it's got a full charge, and so 4.2v). Due to conservation of energy, the power that's delivered
to the chip is, must necessarily
have to be, the same as the power output
by the chip (minus energy lost as heat due to inefficiency -- we'll ignore that for now but it's usually on the order of a few percent.) So in order to get "x-amount" of watts to pump into the atomizer, the chip needs to draw those same "x-amount" of watts from the battery, and
it needs to draw them at 4.2v, because that's the
only voltage that the battery is capable of putting out. This is done by the chip adjusting its internal resistance, to vary the amp draw from the battery to achieve the selected power level.
No matter what wattage you set your device for, the battery can only output 4.2v. Ever. So,
regardless of what's happening on the atomizer side of the chip, in order for it to output 50 watts (on a "whatever-you've-got" atomizer at "whatever-that-works-out-to" voltage), it still needs to draw those 50 watts from the battery
at 4.2v, which means it must draw approximately 11.9 amps. You can change the "whatevers" on the atomizer side around however you want (so long as they still work out to 50w) and the board will
still draw 11.9 amps from the battery, because
that's how much it takes to get 50 watts from 4.2 volts, and the battery will never output anything else besides 4.2v. So really, it doesn't matter
what's happening on the atomizer side. As far as the
battery (and battery
life) is concerned, 50w is 50w, regardless. Power in equals power out. Conservation of energy, and all that cal.