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Ohm's Law for LED Circuits

Voltage equals current times resistance underpins every LED calculation.

LED SYMBOLTriangle points from anode to cathode; the arrows show light leaving the part.

The basic law

Ohm's law links voltage (V), current (I) and resistance (R): V = I × R. Rearranged, I = V ÷ R and R = V ÷ I.

Applying it to an LED

The LED takes up its own forward voltage, and the resistor takes the rest. So the resistor voltage is the supply voltage minus the LED's forward voltage.

  • Supply 5 V, red LED 2 V, so the resistor drops 3 V.
  • For 15 mA (0.015 A), R = 3 ÷ 0.015 = 200 ohms.
  • Use the next standard value up, 220 ohms, for a slightly lower current.

Units

Work in volts, amps and ohms. Convert milliamps by dividing by 1,000, so 15 mA is 0.015 A.

REMEMBER
The resistor sets the current, so the resistor sets the safety.

Try it yourself

Sketch the circuit on paper first, calculate the values, then build it on a solderless breadboard using a low-voltage supply. Measure with a multimeter before you make anything permanent.

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