If you use higher a resistance carto you will get less vapor and flavor unless you raise the volts. In that case you are using the same amount of power and your battery will last or deplete in the same amount of time.
The more power a battery sends to the coil the more juice that can be vaporized.
power = watts
More volts = more watts = more hit, vapor and flavor.
Lower ohms = more watts = more hit and vapor and flavor.
With the same voltage you will get a lot more hit and smoke with a 2.0 ohm cartomizer than with a 3.0 ohm cartomizer. Low ohm cartos also need to wick fast enough to keep up with the larger amount of juice being vaporized.
Here is calculator to find the amount of power or watts you are using.
Ohm's Law Calculator