We saw in the previous tutorial that there are many different types of **Resistor** available and that they can be used in both electrical and electronic circuits to control the flow of current or to produce a voltage in many different ways.

But in order to do this the actual resistor needs to have some form of “resistive” or “resistance” value. Resistors are available in a range of different resistance values from fractions of an Ohm ( Ω ) to millions of Ohms.

Obviously, it would be impractical to have available resistors of every possible value for example, 1Ω, 2Ω, 3Ω, 4Ω etc, because literally tens of hundreds of thousands, if not tens of millions of different resistors would need to exist to cover all the possible values. Instead, resistors are manufactured in what are called “preferred values” with their resistance value printed onto their body in coloured ink.

4 Coloured Bands

The resistance value, tolerance, and wattage rating are generally printed onto the body of the resistor as numbers or letters when the resistors body is big enough to read the print, such as large power resistors. But when the resistor is small such as a 1/4W carbon or film type, these specifications must be shown in some other manner as the print would be too small to read.

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So to overcome this, small resistors use coloured painted bands to indicate both their resistive value and their tolerance with the physical size of the resistor indicating its wattage rating. These coloured painted bands produce a system of identification generally known as a **Resistors Colour Code**.

An international and universally accepted resistor colour code scheme was developed many years ago as a simple and quick way of identifying a resistors ohmic value no matter what its size or condition. It consists of a set of individual coloured rings or bands in spectral order representing each digit of the resistors value.

The resistor colour code markings are always read one band at a time starting from the left to the right, with the larger width tolerance band oriented to the right side indicating its tolerance. By matching the colour of the first band with its associated number in the digit column of the colour chart below the first digit is identified and this represents the first digit of the resistance value.

Again, by matching the colour of the second band with its associated number in the digit column of the colour chart we get the second digit of the resistance value and so on. Then the resistor colour code is read from left to right as illustrated below:

Colour | Digit | Multiplier | Tolerance |

Black | 0 | 1 | |

Brown | 1 | 10 | ± 1% |

Red | 2 | 100 | ± 2% |

Orange | 3 | 1,000 | |

Yellow | 4 | 10,000 | |

Green | 5 | 100,000 | ± 0.5% |

Blue | 6 | 1,000,000 | ± 0.25% |

Violet | 7 | 10,000,000 | ± 0.1% |

Grey | 8 | ± 0.05% | |

White | 9 | ||

Gold | 0.1 | ± 5% | |

Silver | 0.01 | ± 10% | |

None | ± 20% |

The **Resistor Colour Code** system is all well and good but we need to understand how to apply it in order to get the correct value of the resistor. The “left-hand” or the most significant coloured band is the band which is nearest to a connecting lead with the colour coded bands being read from left-to-right as follows;

Digit, Digit, Multiplier = Colour, Colour x 10^{ colour} in Ohm’s (Ω’s)

For example, a resistor has the following coloured markings;

Yellow Violet Red = 4 7 2 = 4 7 x 10^{2} = 4700Ω or 4k7.

The fourth and fifth bands are used to determine the percentage tolerance of the resistor. Resistor tolerance is a measure of the resistors variation from the specified resistive value and is a consequence of the manufacturing process and is expressed as a percentage of its “nominal” or preferred value.

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Typical resistor tolerances for film resistors range from 1% to 10% while carbon resistors have tolerances up to 20%. Resistors with tolerances lower than 2% are called precision resistors with the or lower tolerance resistors being more expensive.

Most five band resistors are precision resistors with tolerances of either 1% or 2% while most of the four band resistors have tolerances of 5%, 10% and 20%. The colour code used to denote the tolerance rating of a resistor is given as;

Brown = 1%, Red = 2%, Gold = 5%, Silver = 10 %

If resistor has no fourth tolerance band then the default tolerance would be at 20%.

It is sometimes easier to remember the resistor colour code by using mnemonics or phrases that have a separate word in the phrase to represent each of the Ten + Two colours in the code. However, these sayings are often very crude but never the less effective for remembering the resistor colours. Here are just a few of the more “cleaner” versions but many more exist:

**B**ad**B**ooze**R**ots**O**ur**Y**oung**G**uts**B**ut**V**odka**G**oes**W**ell**B**ad**B**oys**R**ing**O**ur**Y**oung**G**irls**B**ut**V**icky**G**oes**W**ithout**B**ad**B**oys**R**ing**O**ur**Y**oung**G**irls**B**ut**V**icky**G**ives**W**illingly —**G**et**S**ome**N**ow (This one is only slightly better because it includes the tolerance bands of**G**old,**S**ilver, and**N**one).

As an added bonus, why not download and make our handy DIY Resistor Colour Code Wheel as a free and handy reference guide to help work out those resistor colour codes.

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Generally on larger power resistors, the resistor colour code systems is not required as the resistance value, tolerance, and even the power (wattage) rating are printed onto the actual body of the resistor instead of using the resistor colour code system. Because it is very easy to “misread” the position of a decimal point or comma especially when the component is discoloured or dirty. An easier system for writing and printing the resistance values of the individual resistance was developed.

This system conforms to the British Standard **BS 1852 Standard** and its replacement, **BS EN 60062**, coding method were the decimal point position is replaced by the suffix letters “K” for thousands or kilohms, the letter “M” for millions or megaohms both of which denotes the multiplier value with the letter “R” used where the multiplier is equal to, or less than one, with any number coming after these letters meaning it’s equivalent to a decimal point.

BS 1852 Codes for Resistor Values |

0.47Ω = R47 or 0R47 |

1.0Ω = 1R0 |

4.7Ω = 4R7 |

47Ω = 47R |

470Ω = 470R or 0K47 |

1.0KΩ = 1K0 |

4.7KΩ = 4K7 |

47KΩ = 47K |

470KΩ = 470K or 0M47 |

1MΩ = 1M0 |

Sometimes depending upon the manufacturer, after the written resistance value there is an additional letter which represents the resistors tolerance value such as 4k7 J and these suffix letters are given as.

Tolerance Codes for Resistors (±) |

B = 0.1% |

C = 0.25% |

D = 0.5% |

F = 1% |

G = 2% |

J = 5% |

K = 10% |

M = 20% |

Also, when reading these written codes be careful not to confuse the resistance letter k for kilohms with the tolerance letter K for 10% tolerance or the resistance letter M for Megaohms with the tolerance letter M for 20% tolerance.

Hopefully by now we understand that resistors come in a variety of sizes and resistance values but to have a resistor available of every possible resistance value, literally hundreds of thousands, if not millions of individual resistors would need to exist. Instead, resistors are manufactured in what are commonly known as **Preferred values**.

Instead of sequential values of resistance from 1Ω and upwards, certain values of resistors exist within certain tolerance limits. The tolerance of a resistor is the maximum difference between its actual value and the required value and is generally expressed as a plus or minus percentage value. For example, a 1kΩ ±20% tolerance resistor may have a maximum and minimum resistive value of.

Maximum Resistance Value

1kΩ or 1000Ω + 20% = 1,200Ω’s

Minimum Resistance Value

1kΩ or 1000Ω – 20% = 800Ω’s

Then using our example above, a 1kΩ ±20% tolerance resistor may have a maximum value of 1200Ω’s and a minimum value of 800Ω’s resulting in a difference of some 400Ω’s!! for the same value resistor.

In most electrical or electronic circuits this large 20% tolerance of the same resistor is generally not a problem, but when close tolerance resistors are specified for high accuracy circuits such as filters or oscillators etc, then the correct tolerance resistor needs to be used, as a 20% tolerance resistor cannot generally be used to replace 2% or even a 1% tolerance type.

The five and six band resistor colour code is more commonly associated with the high precision 1% and 2% film types while the common garden variety 5% and 10% general purpose types tend to use the four band resistor colour code. Resistors come in a range of tolerances but the two most common are the E12 and the E24 series.

The E12 series comes in twelve resistance values per decade, (A decade representing multiples of 10, i.e. 10, 100, 1000 etc), while the E24 series comes in twenty four values per decade and the E96 series ninety six values per decade. A very high precision E192 series is now available with tolerances as low as ± 0.1% giving a massive 192 separate resistor values per decade.

E6 Series at 20% Tolerance – Resistors values in Ω’s |

1.0, 1.5, 2.2, 3.3, 4.7, 6.8 |

E12 Series at 10% Tolerance – Resistors values in Ω’s |

1.0, 1.2, 1.5, 1.8, 2.2, 2.7, 3.3, 3.9, 4.7, 5.6, 6.8, 8.2 |

E24 Series at 5% Tolerance – Resistors values in Ω’s |

1.0, 1.1, 1.2, 1.3, 1.5, 1.6, 1.8, 2.0, 2.2, 2.4, 2.7, 3.0, 3.3, 3.6, 3.9, 4.3, 4.7, 5.1, 5.6, 6.2, 6.8, 7.2, 8.2, 9.1 |

E96 Series at 1% Tolerance – Resistors values in Ω’s |

1.00, 1.02, 1.05, 1.07, 1.10, 1.13, 1.15, 1.18, 1.21, 1.24, 1.27, 1.30, 1.33, 1.37, 1.40, 1.43, 1.47, 1.50, 1.54, 1.58, 1.62, 1.65, 1.69, 1.74, 1.78, 1.82, 1.87, 1.91, 1.96, 2.00, 2.05, 2.10, 2.15, 2.21, 2.26, 2.32, 2.37, 2.43, 2.49, 2.55, 2.61, 2.67, 2.74, 2.80, 2.87, 2.94, 3.01, 3.09, 3.16, 3.24, 3.32, 3.40, 3.48, 3.57, 3.65, 3.74, 3.83, 3.92, 4.02, 4.12, 4.22, 4.32, 4.42, 4.53, 4.64, 4.75, 4.87, 4.99, 5.11, 5.23, 5.36, 5.49, 5.62, 5.76, 5.90, 6.04, 6.19, 6.34, 6.49, 6.65, 6.81, 6.98, 7.15, 7.32, 7.50, 7.68, 7.87, 8.06, 8.25, 8.45, 8.66, 8.87, 9.09, 9.31, 9.53, 9.76 |

Then by using the appropriate E-series value for the percentage tolerance required for the resistor, adding a multiplication factor to it, any ohmic value of resistance within that series can be found. For example, take an E-12 series resistor, 10% tolerance with a preferred value of 3.3, then the values of resistance for this range are:

**Value x Multiplier = Resistance**

3.3 x 1 = 3.3Ω

3.3 x 10 = 33Ω

3.3 x 100 = 330Ω

3.3 x 1,000 = 3.3kΩ

3.3 x 10,000 = 33kΩ

3.3 x 100,000 = 330kΩ

3.3 x 1,000,000 = 3.3MΩ

The mathematical basis behind these preferred values comes from the square root value of the actual series being used. For example, for the E6 20% series there are six individual resistors or steps (1.0 to 6.8) and is given as the sixth root of ten ( 6√10 ), so for the E12 10% series there are twelve individual resistors or steps (1.0 to 8.2) and is therefore given as the twelfth root of ten ( 12√10 ) and so on for the remaining E-series values.

The tolerance series of **Preferred Values** shown above are manufactured to conform to the British Standard BS 2488 and are ranges of resistor values chosen so that at maximum or minimum tolerance any one resistor overlaps with its neighbouring value. For example, take the E24 range of resistors with a 5% tolerance. It’s neighbouring resistor values are 47 and 51Ω’s respectively.

47Ω + 5% = 49.35Ω’s, and 51Ω – 5% = 48.45Ω’s, an overlap of just 0.9Ω’s.

4.7kΩ SMD Resistor

**Surface Mount Resistors** or SMD Resistors, are very small rectangular shaped metal oxide film resistors designed to be soldered directly onto the surface, hence their name, of a circuit board. Surface mount resistors generally have a ceramic substrate body onto which is deposited a thick layer of metal oxide resistance.

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The resistive value of the resistor is controlled by increasing the desired thickness, length or type of deposited film being used and highly accurate low tolerance resistors, down to 0.1% can be produced. They also have metal terminals or caps at either end of the body which allows them to be soldered directly onto printed circuit boards.

Surface Mount Resistors are printed with either a 3 or 4-digit numerical code which is similar to that used on the more common axial type resistors to denote their resistive value. Standard SMD resistors are marked with a three-digit code, in which the first two digits represent the first two numbers of the resistance value with the third digit being the multiplier, either x1, x10, x100 etc. For example:

“103” = 10 × 1,000 ohms = 10 kiloΩ´s

“392” = 39 × 100 ohms = 3.9 kiloΩ´s

“563” = 56 × 1,000 ohms = 56 kiloΩ´s

“105” = 10 × 100,000 ohms = 1 MegaΩ

Surface mount resistors that have a value of less than 100Ω’s are usually written as: “390”,

“470”, “560” with the final zero representing a 10 x^{o} multiplier, which is equivalent to 1. For example:

“390” = 39 × 1Ω = 39Ω´s or 39RΩ

“470” = 47 × 1Ω = 47Ω´s or 47RΩ

Resistance values below ten have a letter “R” to denote the position of the decimal point as seen previously in the BS1852 form, so that 4R7 = 4.7Ω.

Surface mount resistors that have a “000” or “0000” markings are zero-Ohm (0Ω) resistors or in other words shorting links, since these components have zero resistance.

Then we have seen that the resistor colour code system is used to identify the resistive value of a resistor. Don’t forget to download and make our handy DIY Resistor Colour Code Wheel as a free and handy reference guide to help work out those resistor colour codes.

In the next tutorial about Resistors, we will look at connecting resistors together in a series chain and prove that the total resistance is the sum of all the resistors added together and that the current is common to a series circuit.

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how do you calculate current flow in resistor in a board

people anyone to help in this assignment: colour coding and tolerance of resistance…….. pls

please what is the value of, purple green white gold.

For a 4 band resitor you can not have a white band multiplier. Check with an ohmmeter.

I am very grateful for this information on resistor colour codes and how one can use them to calculate resistance. However, I still have a problem. My daughter asked me to calculate resistance for the following colour codes : (a) Red, green, silver, silver (b) Blue, red, gold, gold. How do we go about this situation? The last two colour bands in each question poses a challenge for me.

(a) red, green, silver, silver is 0.25 ohm 10%, silver is 10% tolerance but also a 0.01 multiplier (25 x 0.01)

(b) blue, red, gold, gold is 6.2 ohms 5%, gold is 5% tolerance but also a 0.1 multiplier (62 x 0.1)

thank so much for knoledge.i am a phyics specilization university student.

Can the Tolerance principle be applied to Loud speakers I know there are other parameters i.e. inductance resistance TS?

No.

Very useful…

Thanks for these informations… It helps me alot…

What does the value of tolerance indicate exactly?

Tolerance is the change of resistor value or resistance from its indicated value.

Hellow i have the resistor colored red red gold gold what is its amount.tanks a lot….

2.2 Ohms 5%