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How long will this LED last with this battery?

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pb: I am interested in your circuit.

I'm afraid I've given you as much info as I can really - the rest of the design is now property of my customer.

Building a PWM circuit and checking the visible (percieved) light output vs pulse width ratio is a good place to start though - there is a point where the LED appears "bright enough" when an increase of the pulse duration doesn't appear to produce a lot more light.
 
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