Optoelectronics Sizing

LED Current Limiting Series Resistor Calculator

Arduino, Raspberry Pi, custom automotive lighting, DIY electronics projects. Calculates resistance value and minimum safe resistor power rating (Watts) to prevent burning out single or series LEDs.

LED Current Limiting Series Resistor Calculator
Volts
Volts
mA
LEDs
Calculated Result
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Instant Calculation
Engineering Output
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Auxiliary Output
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Step-by-Step Derivation ▼ Show Steps
Governing Formula Verified Physics
R = (V_supply - [N × V_forward]) / I_led  |  P_resistor = I^2 × R × 2 (Safety)

Calculations adhere to standard electrical engineering physics and National Electrical Code (NFPA 70) regulations.

Engineering Principles & Calculations

This calculator uses the exact mathematical relationships between Supply Voltage (V), LED Forward Voltage (V - presets for Red, Green, Blue, White), Forward Current (mA - default 20mA), Number of Series LEDs to determine Recommended Standard Resistor Value (Ω), Resistor Power Dissipation (W), Standard E12/E24 Value. In practical installations, factors such as ambient raceway temperature, harmonic distortion, duty cycle continuous operation, and conductor impedance must be accounted for by a certified electrician.

Calculates resistance value and minimum safe resistor power rating (Watts) to prevent burning out single or series LEDs.

Typical Application & Industry Guidelines

Arduino, Raspberry Pi, custom automotive lighting, DIY electronics projects.

Reference Matrix

LED Current Limiting Series Resistor Calculator Benchmark Lookup Table

LED ColorTypical Forward Volts (Vf)Nominal CurrentResistor for 5V SupplyResistor for 12V Supply
Red1.8V - 2.1V20 mA150 Ohms560 Ohms
Green2.0V - 2.2V20 mA150 Ohms510 Ohms
Yellow / Amber2.0V - 2.1V20 mA150 Ohms510 Ohms
Blue3.0V - 3.4V20 mA100 Ohms470 Ohms
White3.0V - 3.3V20 mA100 Ohms470 Ohms
FAQ

Frequently Asked Questions

Why do LEDs require a series current-limiting resistor? +
LEDs have exponential current-voltage curves with near-zero internal resistance once forward voltage is reached. Connecting an LED directly to a voltage source creates catastrophic thermal runaway, burning the LED out in milliseconds.
Can I connect multiple LEDs in parallel with one resistor? +
No. Slight manufacturing variances in forward voltage cause 'current hogging', where the LED with the lowest forward voltage draws excessive current and burns out prematurely.
What resistor wattage should I select for an LED? +
Most standard 20mA LEDs dissipate under 0.15 Watts in the resistor, making standard 1/4-Watt (0.25W) resistors perfectly suited.

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