I have a string of 60 LED Christmas lights with 6 distinct colors. I measured the RMS current with a multimeter, and found to be 27mA, so it worked out to be about 3.2W or about 54mW each, which seems reasonable if each LED takes about 20mA. The string appears to have 3 parallel segments, with 3 lights having 3 wire connections. That means each LED string consumes 9mA, so the 54mW number seems high for each LED. Four of LEDs (all blue color why?) are not working, but the rest of the string works, so the connection is maintained. I was curious to take one off; that segment was out. So it is the LED that provides the electrical connection. I took it apart and measured the resistance an found it to be 90 Ohms both ways. Is there a built-in parallel resistor for fault tolerance? Each of these resistors would take about 10mW. The LEDs are running directly off AC, so the current is measured as true RMS, but the voltage RMS is not known.
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