The first thing I noticed was that it was not too bright, and when one of the LEDs quickly died, it was time to do some upgrading.
Prying the cover apart revealed 3 white LEDs in parallel, with a 30-ohm resistor to limit current to about 60mA.
I want more light, but the 1/10-watt resistor was already putting out major heat.
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We know that 3.2-volts is going to the LEDs, and we can measure it with a voltmeter across the LED's wires, but what about the other 1.8-volts supplied by the 5-volt USB?
It's making lots of useless heat in the resistor!
That is what the top circuit shows - of all the power the USB is delivering, a full 36% is being wasted! And 1.8-volt represents 55% of the power going to the LEDs!
That is to say, if we can somehow eliminate the resistor, we'll be able to improve output by 55%! That's like getting an extra 16-miles per gallon from your 30-miles-per-gallon car!
(In EU terms, that's going from 7-l/100km to 5-l/100km!)
The bottom circuit show how we achieve this - we pair each white led with an amber (or yellow) LED.
Amber LEDs, with a Vf of 2-volts, will raise the Vf of the pair to about 5-volts - exactly what the USB delivers!
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So it's no surprise that the little 1/10-watt resistor was running HOT! I measured almost 50oC on my probe.