Just for clarity: The open-circuit voltage on these cells is 1.30V, and with a 10ohm load 1.11V. So the internal resistance is ~1.7 ohms. This is a good demonstration of why testing cells with a load is more accurate, as you say.
[The 1.09V reading was from a cheap-o battery meter (BT-168D) that supposedly draws ~40mA from the cell during testing and shows you the resulting voltage. In the past I used a 10ohm resistor and a voltmeter. Even though I hate having extra stuff, the tester was hard to pass up for <$4. I had never verified the 40mA load from the meter, but I just tested it at 30mA from this nearly depleted alkaline and 43mA on a fresh one]
The product page for this light says it draws 250mA at High. Presuming the internal resistance is constant (?), that would be a 0.425V drop on each of my cells, meaning I have 1.75V total from the 2 cells driving the head of the light. The head claims it can run from as low as 0.9V, but it seems it can't produce the High brightness from that voltage (?). I just tried driving the head from a single one of these cells (~1.09V), and it also seems like it can still do Medium but no higher.
It would be interesting to hook the head up to a bench supply and start dialing down the volts to see if there are specific voltages at which Turbo suddenly starts looking like High and then starts looking like Medium, which is basically what this thread was asking about.
This is precisely why I went with the quark for my first "good" light! Even a single battery from an old TV remote would give me something.
I'd get a 1xAA tube if you want to vampire test batteries in a Quark, esp Alks. In 2xAA config, a Quark moonlight mode WILL pop Alks via reverse charge - don't ask me how I know :D - just watch for the infamous battery fart and ballooned tailcap boot. The 250ma figure is "LED drive current" (47's terminology), NOT battery draw current, and as we know this strictly regulated light will draw increasingly higher currents from the battery as voltage drops, not to mention the normal driver efficiency losses. If you're dealing with any chemistry <1.2v, my guess is that there's simply not enough available wattage to power high and max, even in 2x format. Med and low will cut out soon after, depending upon battery condition, but moonlight will chug down below 1.0V. The light will shut down completely in the 0.8-0.9v (resting) range, but you don't want to go below that anyway - damaging to NiMhs, and higher risk of Alk leaks (even in single cell format).
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