I find the question confusing, but I'll attempt to provide an answer that should help.
Ohms is resistance to current flow, so think of it as a kink in a water hose. The greater the Ohms the greater the kink so fewer Ohms (less kink in your hose) means more current, or water, flows. The more current that flows out of the battery, the quicker it discharges, so think of your battery as being a bucket of water. (Voltage would be how high the bucket is off the ground in this visualization exercise, but you have a fixed voltage battery so your bucket is always at the same height above the ground.)
So your battery is a bucket of water, your atomizer or cartomizer is a kink in the hose and you want to blast leaves off your porch. This stream of water is power or the amount & heat of your vapor. With fewer kinks, the water will come faster and it will blast the leaves off your porch quicker and easier, but your bucket empties pretty quickly. With more kinks the water comes slower and it will take a bit longer to move the same leaves off the porch, but your bucket of water will last longer. (A higher bucket in any of these senerios would result in more water blasting power, but we'll leave that be for this answer.)
So warmer vapor, more throat hit, and more vapor comes from more power which comes from fewer Ohms. Cooler vapor, less throat hit, and less vapor comes from more Ohms. (Assuming the same type of atomizer/cartomizer and battery.) The mathmatical way to see this is P=V*V/R. (P is power, V is Voltage, and R is Ohms) Divide by a larger number and you get a smaller result and visa versa.
Your battery only has so much energy in it, or power for this purpose, so obviously getting more vapor, more throat hit, and warmer vapor will result in the battery draining quicker. (Long battery life = higher Ohms. Short battery life = lower Ohms.)
And with all that said, I find the most important way to find the right power/Ohms level is by taste. Harsh and/or burnt is too much, but there is a point that will make the flavor "pop" for you and that is the right power level for your vaping style.
