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Calculate the impedence of your 3V circuit in ohms. Figure the voltage you want to drop. In this case, you need to lose 9V. This is three times the voltage you are supplying, so the resistor should have three times the resistence of your 3V circuit. If your circuit has 100 ohms of resistence (impedence), then you would connect a 300 ohm resistor in series with your circuit.

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Q: How do you convert 12 volts to 3 volts with resistors?
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