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LED Diode I–V Curve (Shockley)

I = I_s·(e^(V/nV_T) − 1)
LED Diode I–V Curve (Shockley)

The Shockley diode equation: current stays near zero until the forward voltage passes the LED's turn-on knee, then rises exponentially — which is why LEDs need a series resistor to survive.

Computed & rendered in pure C# on the frozen OnlyCSharp 1.8 library — animation baked to GIF with the library's own Gif encoder (no GPU, no ffmpeg, no external packages).