Camera flashlights are designed to produce light for a defined response time and duration once triggered, all you have to do is to design the camera shutter to respect this definition, at least for a certain shutter speed.
That’s why on old camera there is a specific setting of shutter time to be used with flash, usually 1/60. The shutter operation is calibrated so the trigger time and duration of the flashlight lands right in the full open time of the shutter.
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