Resistor Calculator

The following are tools to calculate the ohm value and tolerance based on resistor color codes, the total resistance of a group of resistors in parallel or in series, and the resistance of a conductor based on size and conductivity.

Resistor color code calculator

Use this calculator to find out the ohm value and tolerance based on resistor color codes.

Result
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Number of Bands:
1st Band Color:
2nd Band Color:
Multiplier Color:
Tolerance Color:
1st Band 2nd Band Multiplier Tolerance
Color 1st, 2nd Band
Significant
Figures
Multiplier Tolerance
Black
0× 1
Brown
1× 10±1% (F)
Red
2× 100±2% (G)
Orange
3× 1K±0.05% (W)
Yellow
4× 10K±0.02% (P)
Green
5× 100K±0.5% (D)
Blue
6× 1M±0.25% (C)
Violet
7× 10M±0.1% (B)
Grey
8× 100M±0.01% (L)
White
9× 1G
Gold
× 0.1±5% (J)
Silver
× 0.01±10% (K)

Parallel resistor calculator

Result
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Total resistance in parallel is 1.2703136679494.

Resistors in series calculator

Provide all of the resistance values in series separated by a comma "," and click the "Calculate" button to determine total resistance.

Result
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Resistance of a Conductor

Use the following to calculate the resistance of a conductor. This calculator assumes the conductor is round.

Result
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Length:
Diameter:
Conductivity: S/m Or Select Material

Related Tool: Ohm's Law Calculator

Resistor Color Code

An electronic color code is a code that is used to specify the ratings of certain electrical components, such as the resistance in Ohms of a resistor. Electronic color codes are also used to rate capacitors, inductors, diodes, and other electronic components, but are most typically used for resistors.

How the Color Coding Works

The color coding for resistors is an international standard defined in IEC 60062. The resistor color code involves various colors that represent significant figures, a multiplier, tolerance, reliability, and temperature coefficient. Which of these the color refers to is dependent on the position of the color band on the resistor. In a typical four-band resistor, there is a spacing between the third and the fourth band to indicate how the resistor should be read (from left to right, with the lone band after the spacing being the right-most band).

  • Significant Figure Component: In a typical four-band resistor, the first and second bands represent significant figures. For example, a green band (5) followed by a red band (2) yields the base value of 52.
  • Multiplier: The third band is the multiplier. If the third band is blue (1,000,000), you multiply the base value by the multiplier (52 × 1,000,000 = 52,000,000 Ω or 52 MΩ).
  • Tolerance: The fourth band represents tolerance, which is a percentage by which the resistor value can vary. A gold band indicates a tolerance of ±5%, meaning a 52 MΩ resistor's true value lies between 49.4 MΩ and 54.6 MΩ.
  • Other Variations: Components made to military specs may have a fifth band indicating failure rate percentage. Some 5-band resistors use the first three bands for significant figures to provide more precision. A 6th band, if present, usually indicates the temperature coefficient (change in resistance based on ambient temperature in ppm/K).
Color 1st, 2nd, 3rd Band (Significant Figures) Multiplier Tolerance Temperature Coefficient
Black0× 1250 ppm/K (U)
Brown1× 10±1% (F)100 ppm/K (S)
Red2× 100±2% (G)50 ppm/K (R)
Orange3× 1K±0.05% (W)15 ppm/K (P)
Yellow4× 10K±0.02% (P)25 ppm/K (Q)
Green5× 100K±0.5% (D)20 ppm/K (Z)
Blue6× 1M±0.25% (C)10 ppm/K (Z)
Violet7× 10M±0.1% (B)5 ppm/K (M)
Grey8× 100M±0.01% (L)1 ppm/K (K)
White9× 1G
Gold× 0.1±5% (J)
Silver× 0.01±10% (K)
None±20% (M)

Circuit Arrangements & Conductor Resistance

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

Resistors in Parallel

The total resistance of resistors in parallel is equal to the reciprocal of the sum of the reciprocals of each individual resistor.

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

Resistors in Series

The total resistance of resistors in series is simply the sum of the resistances of each resistor.

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

Resistance of a Conductor

The resistance of a physical wire or conductor can be calculated if you know its length, cross-sectional area, and the material's conductivity.

R = LA × 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 (in S/m)