Resistor Calculator
Decode 4 and 5-band resistor color codes, calculate series and parallel resistance, solve Ohm's Law, and find LED current-limiting resistors — all in one tool.
4+5
Band Codes
S+P
Series/Parallel
Ω
V-I-R-P
LED
Resistor
Resistor Calculator
4 tools in one
Resistance
22.00 kΩ
Tolerance ±5%
20.90 kΩ
Min Value
23.10 kΩ
Max Value
22,000 Ω
Exact (Ω)
±5%
Tolerance
COLOR CODE REFERENCE
Resistor Color Code Chart
Standard IEC 60062 color code. Bands read left to right; tolerance band is on the right.
| Color | Swatch | Digit (Band 1-3) | Multiplier | Tolerance | Temp Coeff (ppm/°C) |
|---|---|---|---|---|---|
| Black | 0 | ×1 | — | 250 | |
| Brown | 1 | ×10 | ±1% | 100 | |
| Red | 2 | ×100 | ±2% | 50 | |
| Orange | 3 | ×1,000 | — | 15 | |
| Yellow | 4 | ×10,000 | — | 25 | |
| Green | 5 | ×100,000 | ±0.5% | 20 | |
| Blue | 6 | ×1,000,000 | ±0.25% | 10 | |
| Violet | 7 | ×10,000,000 | ±0.1% | 5 | |
| Grey | 8 | ×100,000,000 | ±0.05% | 1 | |
| White | 9 | ×1,000,000,000 | — | — | |
| Gold | — | ×0.1 | ±5% | — | |
| Silver | — | ×0.01 | ±10% | — | |
| None | — | — | ±20% | — |
STANDARD VALUES
E12 Series — 12 Values per Decade
Most common for ±5% resistors. Multiply by 1, 10, 100, 1k, 10k, 100k, 1M for full range.
Mnemonic for Resistor Color Codes
The classic memory aid: “Bad Boys Race Our Young Girls But Violet Generally Wins” (Black=0, Brown=1, Red=2, Orange=3, Yellow=4, Green=5, Blue=6, Violet=7, Grey=8, White=9). Or simply remember the rainbow: black before colors, then ROYGBIV from 2-8, then white=9, with gold/silver as ±5%/±10% tolerance bands.
⚡ Series vs Parallel
Series: R_total = R1 + R2 + ... Current stays the same through all resistors; voltage splits across them. Total resistance always increases.
Parallel: 1/R_total = 1/R1 + 1/R2 + ... Voltage stays the same across all branches; current splits between them. Total resistance always decreases below the smallest individual resistor.
💡 LED Current & Brightness
LEDs are current-driven devices — without a current-limiting resistor, current increases until the LED burns out. Standard LEDs run 10-20mA.
Forward voltage varies by color: red ≈ 2.0V, yellow/green ≈ 2.1V, blue/white ≈ 3.2V. Running at 10mA instead of 20mA reduces brightness but greatly extends LED lifetime.
Resistor Formulas — Color Code, Series, Parallel & LED
4-Band Color Code Reading
(Band 1 digit1 × 10 + Band 2 digit2) × Multiplier(Band 3) ± Tolerance(Band 4)
Example: Red-Red-Orange-Gold → Band 1: Red = 2, Band 2: Red = 2, Band 3: Orange = ×1,000, Band 4: Gold = ±5% → (2×10 + 2) × 1,000 = 22,000 Ω ±5% = 22 kΩ ±5%5-Band Color Code Reading
The first three bands form a 3-digit number, Band 4 is the multiplier, Band 5 is the tolerance.
Example: Brown-Black-Black-Red-Brown → Band 1: Brown = 1, Band 2: Black = 0, Band 3: Black = 0, Band 4: Red = ×100, Band 5: Brown = ±1% → 100 × 100 = 10,000 Ω ±1% = 10 kΩ ±1%Series & Parallel Resistance
Series: R_total = R1 + R2 + R3 + ... + Rn
Parallel: 1/R_total = 1/R1 + 1/R2 + ... + 1/Rn
Two resistors in parallel shortcut: R_total = (R1 × R2) / (R1 + R2)
Example: 1000 Ω ‖ 1500 Ω = (1000×1500) / (1000+1500) = 1,500,000 / 2,500 = 600 ΩOhm's Law & Power
V = I × R (Voltage = Current × Resistance)
I = V / R (Current = Voltage / Resistance)
R = V / I (Resistance = Voltage / Current)
P = V × I = I² × R = V² / R (Power = watts)
Units: V (volts), I (amperes), R (ohms Ω), P (watts)LED Resistor Formula
R = (V_supply − V_forward) / I_LED (I_LED typical: 10-20 mA / 0.010-0.020 A)
Example: 9V supply, white LED (V_f=3.2V), 15 mA → R = (9 − 3.2) / 0.015 = 5.8 / 0.015 ≈ 387 Ω → use standard E12: 390 Ω. Power dissipated = (0.015)² × 390 ≈ 0.09 W.— FAQ