Results
Data Source and Methodology
Primary reference: IEC 60062:2016 (Marking codes for resistors and capacitors), International Electrotechnical Commission, 2016. View IEC 60062.
Secondary reference for preferred numbers: IEC 60063 (Preferred number series for resistors and capacitors). View IEC 60063.
Practical cross-check: Digi-Key — Resistor Color Code Calculator. View resource.
All computations strictly follow the formulas and data provided by these sources.
The Formulas Explained
$$ R_{\min} = R \cdot \Big(1 - \frac{\tau}{100}\Big), \quad R_{\max} = R \cdot \Big(1 + \frac{\tau}{100}\Big) $$ where τ is the tolerance percentage.
Temperature coefficient (ppm/°C) indicates change per degree: $$ \Delta R \approx R \cdot \alpha \cdot \Delta T \cdot 10^{-6} $$ where α is the tempco in ppm/°C and ΔT is temperature change in °C.
Glossary of Variables
- Band 1, 2, 3: Significant digit colors mapping to digits 0–9.
- Multiplier (M): Power of ten determined by the multiplier band, including gold (10^-1) and silver (10^-2).
- Tolerance (τ): Allowed percentage deviation; “None” (no band) means ±20%.
- Temperature coefficient (α): Change per °C in ppm (parts per million) for 6-band resistors.
- R (Ω): Nominal resistance in ohms.
- Rmin, Rmax (Ω): Minimum and maximum resistance limits considering tolerance.
- E-series: Preferred number sets (E12/E24) used to select commercially available values.
How It Works: A Step-by-Step Example
Goal: Decode a 5-band resistor with colors Brown, Black, Green, Red, Brown.
- Digits: Brown=1, Black=0, Green=5 → 105.
- Multiplier: Red → 10^2, so R = 105 × 10^2 = 10,500 Ω = 10.5 kΩ.
- Tolerance: Brown → ±1%. Therefore Rmin = 10.5 kΩ × (1 − 0.01) = 10.395 kΩ; Rmax = 10.5 kΩ × (1 + 0.01) = 10.605 kΩ.
- If a 6th band exists, read it as the temperature coefficient (e.g., Red = 50 ppm/°C).
Frequently Asked Questions (FAQ)
How do I read 3, 4, 5, and 6-band resistors?
3-band: 2 digits + multiplier (default ±20%). 4-band: 2 digits + multiplier + tolerance. 5-band: 3 digits + multiplier + tolerance. 6-band: 5-band + temperature coefficient.
Why are gold and silver used?
Gold and silver primarily indicate lower multipliers (×0.1 and ×0.01) and also common tolerances (±5% and ±10%).
What if one band is faded or burned?
Use the remaining bands plus measurement if possible. Compare the computed nominal value to E-series to estimate the missing band. When in doubt, replace with a safe, equal or higher tolerance part and validate in-circuit.
Can the first digit be black (0)?
Practically no for standard coding; the leading digit is typically non-zero. This tool will warn you if an uncommon combination is selected.
How accurate is the temperature coefficient?
The tempco band provides a nominal ppm/°C value per IEC 60062. Real performance depends on the resistor technology (e.g., metal film vs. carbon film) and the operating conditions.
How do E-series impact my selection?
E-series help you select commercially available values. Use E12 (10%) or E24 (5%) snapping to ensure your encoded value matches standard production parts.