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I want to use my motorcycle battery to power a single led that has a maximum voltage of 3.6 volts. what resistance do i need to drop the voltage from 12 volt to 3?

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Using your given forward voltage of 3.6 volts, I will assume it is the simple LED that uses only 20 mA of current, then:

$$V=IR$$

$$\frac{V}{I}=R$$

So voltage in this equation is voltage of the source minus the voltage lost or used by the LED = 12-3.6=8.4

SO:

$$\frac{12-3.6}{20mA} = 420 Ohms$$

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  • \$\begingroup\$ 420 ohms at 3.5 watts. A standard 1/8 watt resistor will quickly turn to smoke... \$\endgroup\$
    – MarkU
    Feb 27, 2015 at 7:35
  • \$\begingroup\$ @MarkU, how are you getting 3.5W for the resistor? At 20mA, I'm getting 0.02^2*420 = 0.168W. \$\endgroup\$
    – Dan Laks
    Feb 27, 2015 at 8:05
  • \$\begingroup\$ @mark 8.4 V × 0.02A is 0.168 Watts. A 1/4 Watt resistor is needed. How did you get 3.5 Watts? \$\endgroup\$
    – Passerby
    Feb 27, 2015 at 8:06
  • \$\begingroup\$ Whoops, must have gotten something mixed up... after re-checking I agree with 0.168 watt i.e. 1/4 watt resistor rating. Sorry for the false alarm. \$\endgroup\$
    – MarkU
    Feb 27, 2015 at 9:45

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