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A resistor obeys Ohm's law (\$\small V=I\cdot R\$); the current through it is equal to the voltage across it divided by the resistance (equivalently \$I=\frac{V}{R}\$).
2
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Accepted
How to set a resistance between two points by a digital input
You likely want a digital potentiometer. In fact you can find ready implementations for the Arduino.
But since you say you're driving a LED array, a digital pot won't cut it. You want something else, …
19
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Accepted
What does it mean when a resistor symbol in a schematic has a value of zero or "NO-POP"
Zero-ohm resistors are used just for jumpers (so the same machinery can be used for jumpers and actual resistors). In this case you could use a jumper or a wire. …
4
votes
Doesn't using resistors serial to LEDs all the time waste a lot of energy?
The wasted power is often very small (tens of milliwatts) if you're driving the LED with 5 V or an equally small voltage.
Sure, it is a problem in systems where you have limited-capacity batteries, …