Resistor Calculator

Calculate resistor values from color codes, determine parallel/series resistance, and calculate conductor resistance. Supports 3-6 band resistors with comprehensive color code decoding.

How to use: Select the calculator type (color code, parallel, series, or conductor), enter your parameters, and click calculate to get accurate resistance values and tolerances.

Resistor Color Code Calculator

1st Band Color
2nd Band Color
3rd Band Color
Multiplier Color
Tolerance Color
Temperature Coefficient Color

Resistor Color Code:

• First Band: First significant digit

• Second Band: Second significant digit

• Third Band: Multiplier (number of zeros)

• Fourth Band: Tolerance (±%)

Resistor Color Code Results
Parallel Resistance Results
Series Resistance Results
S/m
Conductor Resistance Results

Understanding Resistor Color Codes and Calculations

An electronic color code is a standardized system used to specify the ratings of electrical components, particularly resistors. This coding system allows engineers and technicians to quickly identify resistance values, tolerances, and other important specifications without requiring additional measuring equipment.

How Resistor Color Coding Works

The resistor color code is an international standard defined in IEC 60062. This system uses colored bands to represent significant figures, multipliers, tolerance, reliability, and temperature coefficient values. The position of each color band determines its meaning, with typical spacing between the main value bands and the tolerance/coefficient bands.

Standard 4-Band Resistor Reading: In a typical four-band resistor, the first two bands represent significant figures, the third band is the multiplier, and the fourth band indicates tolerance. The bands are read from left to right, with a gap usually separating the tolerance band.

Resistor Value Calculation

Resistance = (Band₁ × 10 + Band₂) × Multiplier

For 5-band resistors: (Band₁ × 100 + Band₂ × 10 + Band₃) × Multiplier

Color Code Components Explained

Significant Figures: The first two (or three) bands represent the main digits of the resistance value. For example, if you see green (5) and red (2), this gives you the base number 52.

Multiplier: The multiplier band determines how many zeros to add to your base number, or what power of 10 to multiply by. A blue multiplier represents 10⁶ (1,000,000), so 52 × 1,000,000 = 52,000,000Ω or 52MΩ.

Tolerance: The tolerance band indicates the precision of the resistor value. A gold band represents ±5% tolerance, meaning the actual resistance can vary by up to 5% from the stated value in either direction.

Resistor Band Variations

3-Band Resistors: Basic resistors with two significant figures and a multiplier. These have ±20% tolerance and no tolerance band.

4-Band Resistors: Most common type with two significant figures, multiplier, and tolerance band. Typical tolerance values are ±5% (gold) or ±10% (silver).

5-Band Resistors: Precision resistors with three significant figures, multiplier, and tolerance. These offer higher precision with tolerances as low as ±1% or ±0.5%.

6-Band Resistors: Ultra-precision resistors that include three significant figures, multiplier, tolerance, and temperature coefficient. The temperature coefficient indicates how the resistance changes with temperature (measured in ppm/K).

Military Specifications: Some resistors include a reliability band indicating the failure rate percentage per 1000 hours of service, essential for critical applications where component failure could have serious consequences.

Complete Resistor Color Code Reference

Color Significant Figures
(1st, 2nd, 3rd Band)
Multiplier Tolerance Temperature Coefficient
Black
0 × 1 - 250 ppm/K
Brown
1 × 10 ±1% 100 ppm/K
 
Red
2 × 100 ±2% (G) 50 ppm/K (R)
 
Orange
3 × 1K ±0.05% (W) 15 ppm/K (P)
 
Yellow
4 × 10K ±0.02% (P) 25 ppm/K (Q)
 
Green
5 × 100K ±0.5% (D) 20 ppm/K (Z)
 
Blue
6 × 1M ±0.25% (C) 10 ppm/K (Z)
 
Violet
7 × 10M ±0.1% (B) 5 ppm/K (M)
 
Grey
8 × 100M ±0.01% (L) 1 ppm/K (K)
 
White
9 × 1G  
 
Gold
  × 0.1 ±5% (J)
 
Silver
  × 0.01 ±10% (K)
 
None
    ±20% (M)  

Resistors are circuit elements that impart electrical resistance. While circuits can be highly complicated, and there are many different ways in which resistors can be arranged in a circuit, resistors in complex circuits can typically be broken down and classified as being connected in series or in parallel.

Resistors in parallel:

Resistors in Parallel

When resistors are connected in parallel, each resistor has the same voltage across it. The total resistance is less than the smallest individual resistance.

The total resistance of resistors in parallel is equal to the reciprocal of the sum of the reciprocals of each individual resistor. Refer to the equation below for clarification:

Rtotal
1
 
1
R1
 + 
1
R2
 + 
1
R3
 + ... + 
1
Rn
 

Resistors in series:

Resistors in Series

When resistors are connected in series, the current through each resistor is the same, but the voltage across each resistor varies based on its resistance.

The total resistance of resistors in series is simply the sum of the resistances of each resistor. Refer to the equation below for clarification:

Rtotal = R1 + R2 + R3 ... + Rn


Resistance of a conductor:

R = 
L
A × C

Where:
    L is the length of the conductor
    A is the cross-sectional area of the conductor
    C is the conductivity of the material