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My little Honda Del Sol was in need of a brighter dome light. I went from regular bulb to a manufactured LED replacement to finally one high brightness one that I can even read with.
Step 1Bit of Caution
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These LEDs do get HOT. Normal opening and closing the doors do not allow the LEDs to get very hot. Just do not do what I did and leave the car door open for several hours. The hot glue and epoxy melted into the lense of the dome light and the LEDs got heat damaged. They still are bright, but not as strong as they where.
You should probably consider including the schematic diagram, will make it easier to understand the wiring. The one below, I created using the freeware version of Eagle (use it if you like...)
http://www.cadsoft.de/index.htm
How did you calculate the resistor values? What is the forward voltage drop of the LEDs you've recommended? The seller on ebay doesn't say.
Since you've used a 22 ohm resistor with three 100mA LEDs in series, that would make 2.2V across the resistor, leaving 9.8V (12 - 2.2) across all 3 LEDs, making it around 3.25V (9.8 / 3) for each LED.
How good was the heat dissipation once you hot-glued all the components? Wasn't there any overheating of the LEDs?
The 22 ohm value I got from http://led.linear1.org/led.wiz using 3 LEDs at 3.4fV,100mA at 12v. Using 3.6fV the resister value was at 12 ohms. For some reason I had a few left over 22 ohm resisters from another project. I used them for this project.
As for the the LEDs over heating. I had used a 14vDC wall wart. This made the hot glue over the pins start to melt and get squishy almost instantly within 2-3 seconds. Using the right voltage 12v and the cars 12v makes the LEDs warm but not too warm to cause a problem. The regular filament bulb was warmer then the LEDs.