Our Resistor Calculator is a comprehensive electronics tool that includes a resistor color code decoder, parallel and series resistance calculators, and a conductor resistance calculator. Whether you're building circuits, troubleshooting electronics, or designing electrical systems, this all-in-one tool has you covered.
The resistor color code system (IEC 60062) uses colored bands to indicate resistance value, tolerance, and sometimes temperature coefficient. Our calculator supports 4-band, 5-band, and 6-band resistors, instantly displaying the resistance, tolerance range, and color meanings.
Resistors can be combined in series (end-to-end) or parallel (side-by-side) to achieve desired total resistance values. Understanding these combinations is fundamental to circuit design. We also include a conductor resistance calculator based on material conductivity, length, and diameter.
A resistor is a passive two-terminal electrical component that implements electrical resistance as a circuit element. Resistors reduce current flow and lower voltage levels within circuits. They are among the most common components in all electronic devices.
Resistance is measured in ohms (Ω) and its symbol is R. Resistors follow Ohm's Law: V = I × R, meaning the voltage across a resistor equals the current through it multiplied by its resistance value.
The color code system was developed because resistors are too small to have their values printed as text. Instead, colored bands are painted on the body. The position and color of each band encodes the resistance value, multiplier, and tolerance.
Parallel Resistors
1/Rtotal = 1/R₁ + 1/R₂ + 1/R₃ + ... + 1/RₙThe reciprocal of total parallel resistance equals the sum of reciprocals of each resistor.
Series Resistors
Rtotal = R₁ + R₂ + R₃ + ... + RₙTotal series resistance is simply the sum of all resistor values.
Conductor Resistance
R = L / (A × C)Where L = length, A = cross-sectional area (πr²), C = conductivity of the material (S/m).
| Color | Digit | Multiplier | Tolerance |
|---|---|---|---|
| Black | 0 | × 1 | — |
| Brown | 1 | × 10 | ±1% |
| Red | 2 | × 100 | ±2% |
| Orange | 3 | × 1K | ±0.05% |
| Yellow | 4 | × 10K | ±0.02% |
| Green | 5 | × 100K | ±0.5% |
| Blue | 6 | × 1M | ±0.25% |
| Violet | 7 | × 10M | ±0.1% |
| Grey | 8 | × 100M | ±0.01% |
| White | 9 | × 1G | — |
| Gold | — | × 0.1 | ±5% |
| Silver | — | × 0.01 | ±10% |
Color code decoder, parallel calculator, series calculator, and conductor resistance — all in one page.
Supports 4-band, 5-band, and 6-band resistor color codes.
See a visual representation of the resistor with your selected colors.
Conductor calculator includes preset conductivity values for copper, aluminum, gold, silver, and more.
As a multiplier (3rd or 4th band), gold means × 0.1. As a tolerance band (last band), gold means ±5%.
For two resistors: Rtotal = (R₁ × R₂) / (R₁ + R₂). For more, use the reciprocal formula.
Adding parallel paths provides more routes for current, which effectively reduces the total opposition to current flow.
Conductivity (σ) measures how well a material conducts electricity. Copper has σ ≈ 59,600,000 S/m. Silver is slightly higher at ~63,000,000 S/m.
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