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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.

ColorSwatchDigit (Band 1-3)MultiplierToleranceTemp Coeff (ppm/°C)
Black0×1250
Brown1×10±1%100
Red2×100±2%50
Orange3×1,00015
Yellow4×10,00025
Green5×100,000±0.5%20
Blue6×1,000,000±0.25%10
Violet7×10,000,000±0.1%5
Grey8×100,000,000±0.05%1
White9×1,000,000,000
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.

101215182227333947566882

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 Ω

Ohm'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.

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