LED Characteristics
Most LEDs have their characteristics specified at a current of 20 mA.
If you want really good reliability and you are not certain you don't have worse-than-average heat
conductivity in your mounting, heat buildup in wherever you mount them, voltage/current variations, etc. then
design for 15 milliamps.
How to make 15 milliamps flow through the LED:
First you need to know the LED voltage drop. It is safe enough to
assume 1.7 volts for non-high-brightness red, 1.9 volts for high-brightness, high-efficiency and low-current
red, and 2 volts for orange and yellow, and 2.1 volts for green. Assume 3.4 volts for bright white, bright
non-yellowish green, and most blue types. Assume 4.6 volts for 430 nM bright blue types such as Everbright
and Radio Shack. Design for 12 milliamps for the 3.4 volt types and 10 milliamps for the 430 NM
blue.

Chromatic Diagram
You can design for higher current if you are adventurous or you know
you will have a good lack of heat buildup. In such a case, design for 25 ma for the types with voltage near 2
volts, 18 ma for the 3.4 volt types, and 15 ma for the 430 NM blue.
Meet or exceed the maximum rated current of the LED only under
favorable conditions of lack of heat buildup. Some LED current ratings assume some really favorable test
conditions - such as being surrounded by air no warmer than 25 degrees Celsius and some decent thermal
conduction from where the leads are mounted. Running the LED at specified laboratory conditions used for
maximum current rating will make it lose half its light output after rated life expectancy (20,000 to 100,000
hours) - optimistically! You can use somewhat higher currents if you heat-sink the leads and/or can tolerate
much shorter life expectancy.
Next, know your supply voltage. It should be well above the LED
voltage for reliable, stable LED operation. Use at least 3 volts for the lower voltage types, 4.5 volts for
the 3.4 volt types, and 6 volts for the 430 NM blue.
The voltage in most cars is 14 volts while the alternator is
successfully charging the battery. A well-charged 12 volt lead-acid battery is 12.6 volts with a light load
discharging it. Many "wall wart" DC power supplies provide much higher voltage than specified if the load is
light, so you need to measure them under a light load that draws maybe 10-20 milliamps.
Next step is to subtract the LED voltage from the supply voltage. This
gives you the voltage that must be dropped by the dropping resistor. Example: 3.4 volt LED with a 6 volt
supply voltage. Subtracting these gives 2.6 volts to be dropped by the dropping resistor.
The next step is to divide the dropped voltage by the LED current to
get the value of the dropping resistor. If you divide volts by amps, you get the resistor value in ohms. If
you divide volts by milliamps, you get the resistor value in kilo-ohms or k.
Example: 6 volt supply, 3.4 volt LED, 12 milliamps. Divide 2.6 by
.012. This gives 217 ohms. The nearest standard resistor value is 220 ohms.
If you want to operate the 3.4 volt LED from a 6 volt power supply at
the LED's "typical" current of 20 ma, then 2.6 divided by .02 yields a resistor value of 130 ohms. The next
higher popular standard value is 150 ohms.
If you want to run a typical 3.4 volt LED from a 6 volt supply at its
maximum rated current of 30 ma, then divide 2.6 by .03. This indicates 87 ohms. The next higher popular
standard resistor value is 100 ohms. Please beware that I consider the 30 ma rating for 3.4-3.5 volt LEDs to
be optimistic.
One more thing to do is to check the resistor wattage. Multiply the
dropped voltage by the LED current to get the wattage being dissipated in the resistor. Example: 2.6 volts
times .03 amp (30 milliamps) is .078 watt. For good reliability, I recommend not exceeding 60 percent of the
wattage rating of the resistor. A 1/4 watt resistor can easily handle .078 watt. In case you need a more
powerful resistor, there are 1/2 watt resistors widely available in the popular values.
You can put LEDs in series with only one resistor for the whole series
string. Add up the voltages of all the LEDs in the series string. This should not exceed 80 percent of the
supply voltage if you want good stability and predictable current consumption. The dropped voltage will then
be the supply voltage minus the total voltage of the LEDs in the series string.
Do not put LEDs in parallel with each other.
Although this usually works, it is not reliable. LEDs become more conductive as they warm up, which may lead to
unstable current distribution through paralleled LEDs. LEDs in parallel need their own individual dropping
resistors. Series strings can be paralleled if each string has its own dropping
resistor.
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