I have also noticed that the batts that lasted the longest (more than 6 months), were the ones I didn't experiment with. I am suspecting it is the LRs that affected the circuits.)
Yes, exactly. A going from a 3 Ohm atty to a 1.5 Ohm effectively doubles the current draw on your battery.
Voltage (volts) = Current (amps) x Resistance (ohms) (Ohms law the earlier post was mentioning)
If you have a 3.7V battery, hook it up to a 3 Ohm atty, you will get a current draw of
1.23AMPS (1230mA) for the few seconds the button is pressed.
If you take that same battery and use a LR 1.5 Ohm atty, the current draw doubles to
2.46Amps (2460mA).
The toughest part with talking about batteries in PVs is that the "mAh" rating comes from other industries which calculate battery capacity based on continuous or near-continuous use. Hitting the button on a PV is akin to Frankenstein shocking the monster to life with lightning, only in the reverse. I suppose the atty is taking the place of the monster when talking about a PV.
Think about PV batteries more like really good car batteries. Car batteries are designed for incredible current draw (500+ amps) when you start your car, but it only actually "works" for seconds each day. We've all seen where a flooded car, or some other issue preventing it from starting, you can run down a car battery in a matter of minutes. Used properly that same battery will last years. Honestly with what we put batts thru I'm impressed that they bounce back the way they do at all.
Earlier somebody mentioned focusing on watts. The equation for that is just as easy:
Power (watts) = Voltage (volts) x Resistance (Ohms)
If you want to swap voltage for current you get:
Power = Current^2 x Resistance (Power = Current x Current x Resistance)
Taking the results of what we did earlier:
Power output with a 3ohm atty = 1.23A x 1.23A x 3.0 ohms = 4.5387 watts
Power output with a 1.5 atty = 2.46A x 2.46A x 1.5ohms = 9.0774 watts
The equations are nice and easy since the only thing we did was halve the resistance, and it changed (doubled) everything in the discussion. Voltage stays the same (3.7v).
When you start changing more than one variable, especially the voltage, things get more complicated. Uses the same two basic equations tho.