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LED Series Resistor

The resistor between your supply and the LED, plus its dissipation.

InputR = (Vs − Vf) / I

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The engineering

The resistor absorbs the difference between a stiff supply and a diode that wants a fixed voltage. Typical Vf: red ≈ 1.8–2.0 V, green/yellow ≈ 2.0–2.2 V, blue/white ≈ 3.0–3.4 V.

Round up to the next standard value — LEDs are brighter than you think and last longer under-driven.

Where this math comes from

Henry Round saw silicon carbide glow in 1907 and wrote two paragraphs about it; Oleg Losev mapped the phenomenon carefully in the 1920s and was ignored. Nick Holonyak's 1962 red LED at GE finally made electroluminescence a product, and Shuji Nakamura's 1993 blue LED completed the palette — earning the 2014 Nobel and putting a Vf of 3.2 V on this card.

The series resistor is the humble half of the story: diodes have exponential I–V curves, so something linear has to take responsibility for the current.

  1. 1907H. J. RoundFirst observation of electroluminescence (SiC).
  2. 1962Nick HolonyakFirst practical visible LED (red, GaAsP).
  3. 1993Shuji NakamuraBlue GaN LED — white light, Nobel 2014.

See the full timeline of the math behind every calculator →

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