shootist it sounds like one of us is doing long division while the other is trying to do long multiplication and we are both just doing trig.
I'm not doing any math and I pretty sure you aren't either.
Ohms law and personal vaporizers depend on 3 things. Volts of the battery and what you supply to the coil, resistance, ohms, of the coil and the wattage, power, derived by using ohms law.
If I have a 2 ohm coil in my atomizer and I supply 3.6 volts to that atomizer coil head I get 6.48 watts, 3.6v Squared = 12.96 divided by the resistance of the coil, 2 ohms, = 6.48 watts.
If I use that same voltage and lower the resistance of the coil to 1.4 ohms then I get 3.6Sq = 12.96 divided by 1.4 = 9.25 watts.
If I increase the voltage to say 4.5 volts then we get this. 4.5V Sq = 20.25 / 1.4 = 14.46 watts.
But say I want that 9.25 watts with a coil resistance of 2.2 ohms. I would then need to supply a high voltage than that 3.6 volts because the resistance is higher.
9.25W X 2.2R = 20.35 SqRt = 4.5 volts.
So you see we can supply the same volts and get different watts depending on the resistance of the coil or we can change the coil resistance and keep the same watts by changing the volts supplied to the coil.
Any modern atomizer can use many different coil resistances. On ones you wrap your own coils for you determine what the resistance of the coil by the wire gauge you use, the size of the spindle/mandrel the coils is wrapped on and the number of wraps.
On pre manufactured coils you can buy several different resistances depending on what the manufacturer offers.