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These BJT transistor constant current source circuits can provide a reasonably constant current if precision isn't critical, such as driving LEDs.
The advantage of a constant current source over a single resistor to drive LEDs is that the circuit can supply the same current while the supply voltage fluctuates, or as different LEDS (or a different number of LEDS) are swapped in the circuit. With just a resistor, the current would fluctuate as these other parameters change, which may not be desirable.
BJT Transistor Biasing:
en.wikipedia.org/wiki/Bipolar...)
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