# Resistor

 Resistor Variable Resistor
Resistor symbols (non-European)
 Resistor Variable resistor
Resistor symbols (Europe, IEC)
A pack of resistors

A resistor is a two-terminal electrical or electronic component that resists an electric current by producing a voltage drop between its terminals in accordance with Ohm's law: $R = \frac {V}{I}$ The electrical resistance is equal to the voltage drop across the resistor divided by the current through the resistor. Resistors are used as part of electrical networks and electronic circuits.

## Identifying resistors

Most axial resistors use a pattern of colored stripes to indicate resistance. SMT ones follow a numerical pattern. Cases are usually brown, blue, or green, though other colors are occasionally found like dark red or dark gray.

One can use a multimeter to test the values of a resistor.

## Resistor standards

• MIL-R-11
• MIL-R-39008
• MIL-R-39017
• BS 1852
• EIA-RS-279

There are other MIL-R- standards.

## Four-band axial resistors

Main article: Electronic color code

Four-band identification is the most commonly used color coding scheme on all resistors. It consists of four colored bands that are painted around the body of the resistor. The scheme is simple: The first two numbers are the first two significant digits of the resistance value, the third is a multiplier, and the fourth is the tolerance of the value. Each color corresponds to a certain number, shown in the chart below. The tolerance for a 4-band resistor will be 2%, 5%, or 10%.

The Standard EIA Color Code Table per EIA-RS-279 is as follows:

Color 1st band 2nd band 3rd band (multiplier) 4th band (tolerance) Temp. Coefficient
Black 0 0 ×100
Brown 1 1 ×101 ±1% (F) 100 ppm
Red 2 2 ×102 ±2% (G) 50 ppm
Orange 3 3 ×103   15 ppm
Yellow 4 4 ×104   25 ppm
Green 5 5 ×105 ±0.5% (D)
Blue 6 6 ×106 ±0.25% (C)
Violet 7 7 ×107 ±0.1% (B)
Grey 8 8 ×108 ±0.05% (A)
White 9 9 ×109
Gold     ×0.1 ±5% (J)
Silver     ×0.01 ±10% (K)
None       ±20% (M)

Note: red to violet are the colors of the rainbow where red is low energy and violet is higher energy.

As an example, let us take a resistor which (read left to right) displays the colours yellow, purple, yellow, brown. We take the first two bands as the value, giving us 4, 7. Then the third band, another yellow, gives us the multiplier 104. Our total value is then 47 x 104Ω, totalling 470,000Ω or 4.7KΩ. Our brown is then a tolerance of ±1%.

Resistors use specific values, which are determined by their tolerance. These values repeat for every exponent; 6.8, 68, 680, and so forth. This is useful because the digits, and hence the first two or three stripes, will always be similar patterns of colors, which make them easier to recognize.

### Preferred values

Resistors are manufactured in values from a few milliohms to about a gigaohm; only a limited range of values from the IEC 60063 preferred number series are commonly available. These series are called E6, E12, E24, E96 and E192. The number tells how many standarized values exist in each decade (e.g. between 10 and 100, or between 100 and 1000). So resistors confirming to the E12 series, can have 12 distinct values between 10 and 100, whereas those confirming to the E24 series would have 24 distinct values. In practice, the discrete component sold as a "resistor" is not a perfect resistance, as defined above. Resistors are often marked with their tolerance (maximum expected variation from the marked resistance). On color coded resistors the color of the rightmost band denotes the tolerance:

silver 10%
gold 5%
red 2%
brown 1%
green 0.5%.

Closer tolerance resistors, called precision resistors, are also available.

Since manufacturers may sort resistors into tolerance classes, prudent design of circuits should assess the effect of any or all resistors being at the upper limits of the tolerance range.

E12 preferred values: 10, 12, 15, 18, 22, 27, 33, 39, 47, 56, 68, 82

Multiples of 10 of these values are used, eg. 0.47 Ω, 4.7 Ω, 47 Ω, 470 Ω, 4.7 kΩ, 47 kΩ, 470 kΩ, and so forth.

E24 preferred values, includes E12 values and: 11, 13, 16, 20, 24, 30, 36, 43, 51, 62, 75, 91

### 5-band axial resistors

5-band identification is used for higher tolerance resistors (1%, 0.5%, 0.25%, 0.1%), to notate the extra digit. The first three bands represent the significant digits, the fourth is the multiplier, and the fifth is the tolerance. 5-band standard tolerance resistors are sometimes encountered, generally on older or specialized resistors. They can be identified by noting a standard tolerance color in the 4th band. The 5th band in this case is the temperature coefficient.

### Mnemonic phrases for remembering codes

There are many mnemonic phrases used to remember the order of the colors.

The easiest way to remember the colours is probably to think of the colour spectrum, then add in the numbers. Starting at the lowest values, one goes from black (no colour) to brownish (infrared) red(2) green (5) to blue (6) and from there to ultraviolet, almost white, and white light.

In essence, the higher the energy, the higher the number code. In this way, one learns both the basics of visible light in the electromagnetic spectrum and the colour codes.

They are, but are not limited to, and variations of:

• Bad Boys Ring Our Young Girls But Violet Giggles Willingly
• Bad Bacon Rots Our Young Guts But Venison Goes Well. Get Some Now!
• B.B. ROY of Great Britain had a Very Good Wife,GoodSon
• Buffalo Bill Roamed Over Yellow Grass Because Vistas Grand Were God's Sanctuary
• Bully Brown Ran Over a Yodeling Goat, Because Violet's Granny Was Gone Snorkeling
• Bad Beer Rots Our Young Guts But Vodka Goes Well Good Sir.

Black Brown Red Orange Yellow Green Blue Violet Gray White (Gold Silver)

### SMD resistors

This image shows four surface mount resistors (the component at the upper left is a capacitor) including two zero-ohm resistors. Zero-ohm links are often used instead of wire links, so that they can be inserted by a resistor-inserting machine.

Surface mounted resistors are printed with numerical values in a code related to that used on axial resistors. Standard-tolerance SMD resistors are marked with a three-digit code, in which the first two digits are the first two significant digits of the value and the third digit is the power of ten (the number of zeroes). For example:

 "334" = 33 × 10,000 ohms = 330 kiloohms "222" = 22 × 100 ohms = 2.2 kiloohms "473" = 47 × 1,000 ohms = 47 kiloohms "105" = 10 × 100,000 ohms = 1 megaohm

Resistances less than 100 ohms are written: 100, 220, 470. The final zero represents ten to the power zero, which is 1. For example:

 "100" = 10 × 1 ohm = 10 ohms "220" = 22 × 1 ohm = 22 ohms

Sometimes these values are marked as "10" or "22" to prevent a mistake.

Resistances less than 10 ohms have 'R' to indicate the position of the decimal point (radix point). For example:

 "4R7" = 4.7 ohms "0R22" = 0.22 ohms "0R01" = 0.01 ohms

Precision resistors are marked with a four-digit code, in which the first three digits are the significant figures and the fourth is the power of ten. For example:

 "1001" = 100 × 10 ohms = 1 kiloohm "4992" = 499 × 100 ohms = 49.9 kiloohm "1000" = 100 × 1 ohm = 100 ohms

"000" and "0000" sometimes appear as values on surface-mount zero-ohm links, since these have (approximately) zero resistance.

### Industrial type designation

Format: [two letters]<space>[resistance value (three digit)]<nospace>[tolerance code(numerical - one digit)]

Power Rating at 70 °C
Type No. Power
rating
(watts)
MIL-R-11
Style
MIL-R-39008
Style
BB 1/8 RC05 RCR05
CB ¼ RC07 RCR07
EB ½ RC20 RCR20
GB 1 RC32 RCR32
HB 2 RC42 RCR42
GM 3 - -
HM 4 - -

Tolerance Code
Industrial type designation Tolerance MIL Designation
5 ±5% J
2 ±20% -
1 ±10% K
- ±2% G
- ±1% F
- ±0.5% D
- ±0.25% C
- ±0.1% B

• Commercial grade: 0 °C to 70 °C
• Industrial grade: −40 °C to 85 °C (sometimes −25 °C to 85 °C)
• Military grade: −55 °C to 125 °C

## Calculations

### Ohm's law

The relationship between voltage, current, and resistance through a metal wire, and some other materials, is given by a simple equation called Ohm's Law:

$I = V/R \,$

where V (or U in some languages) is the voltage (or potential difference) across the wire in volts, I is the current through the wire in amperes, and R, in ohms, is a constant called the resistance—in fact this is only a simplification of the original Ohm's law (see the article on that law for further details). Materials that obey this law over a certain voltage or current range are said to be ohmic over that range. An ideal resistor obeys the law across all frequencies and amplitudes of voltage or current.

Superconducting materials at very low temperatures have zero resistance. Insulators (such as air, diamond, or other non-conducting materials) may have extremely high (but not infinite) resistance, but break down and admit a larger flow of current under sufficiently high voltage.

### Power dissipation

The power dissipated by a resistor is the voltage across the resistor multiplied by the current through the resistor:

$P = I^2 R = I \cdot V = \frac{V^2}{R}$

All three equations are equivalent. The first is derived from Joule's law, and other two are derived from that by Ohm's Law.

The total amount of heat energy released is the integral of the power over time:

$W = \int_{t_1}^{t_2} v(t) i(t)\, dt$

If the average power dissipated exceeds the power rating of the resistor, then the resistor will first depart from its nominal resistance, and will then be destroyed by overheating.

### Series and parallel circuits

Resistors in a parallel configuration each have the same potential difference (voltage). To find their total equivalent resistance (Req):

$\frac{1}{R_\mathrm{eq}} = \frac{1}{R_1} + \frac{1}{R_2} + \cdots + \frac{1}{R_n}$

The parallel property can be represented in equations by two vertical lines "||" (as in geometry) to simplify equations. For two resistors,

$R_\mathrm{eq} = R_1 \| R_2 = {R_1 R_2 \over R_1 + R_2}$

The current through resistors in series stays the same, but the voltage across each resistor can be different. The sum of the potential differences (voltage) is equal to the total voltage. To find their total resistance:

$R_\mathrm{eq} = R_1 + R_2 + \cdots + R_n$

A resistor network that is a combination of parallel and series can sometimes be broken up into smaller parts that are either one or the other. For instance,

$R_\mathrm{eq} = \left( R_1 \| R_2 \right) + R_3 = {R_1 R_2 \over R_1 + R_8} + R_3$

However, many resistor networks cannot be split up in this way. Consider a cube, each edge of which has been replaced by a resistor. For example, determining the resistance between two opposite vertices requires matrix methods for the general case. However, if all twelve resistors are equal, the corner-to-corner resistance is 56 of any one of them.

## Technology

Carbon composition resistors consist of a solid cylindrical resistive element with embedded wire leadouts or metal end caps to which the leadout wires are attached, which is protected with paint or plastic. A spiral is used to increase the length and decrease the width of the film, which increases the resistance.

The resistive element is made from a mixture of finely ground (powdered) carbon and an insulating material (usually ceramic). The mixture is held together by a resin. The resistance is determined by the ratio of the fill material (the powdered ceramic) and the carbon. Higher concentrations of carbon, a weak conductor, result in lower resistance. Carbon composition resistors were commonly used in the 1960s and earlier, but are not so popular for general use now as other types have better specifications, such as tolerance, voltage dependence, and stress (carbon composition resistors will change value when stressed with over-voltages).

Thick film resistors became popular during the 1970s, and most SMD resistors, today, are of this type. The principal difference between "thin film" and "thick film resistors" isn't necessarily the "thickness" of the film, but rather, how the film is applied to the cylinder (axial resistors) or the surface (SMD resistors). In thick film resistors the "film" is applied using traditional screen-printing technology.

Thin film resistors are made by sputtering the resistive material onto the surface of the resistor. Sputtering is sometimes called vacuum deposition. The thin film is then etched in a similar manner to the old (subtractive) process for making printed circuit boards: ie the surface is coated with a photo-sensitive material, then covered by a film, irradiated with ultraviolet light, and then the exposed photo-sensitive coating, and underlying thin film, are etched away.

Thin film resistors, like their thick film counterparts, are then usually trimmed to a relatively exact value by abrasive or laser trimming.

Because the time during which the sputtering is performed can be controlled, the thickness of the film of a thin-film resistor, can be accurately controlled. The type of the material is also usually different consisting of one or more ceramic (cermet) conductors such as tantalum nitride (TaN), ruthenium dioxide (RuO2), lead oxide (PbO), bismuth ruthenate (Bi2Ru2O7), nickel chromium (NiCr), and/or bismuth iridate (Bi2Ir2O7).

By contrast, thick film resistors, may use the same conductive ceramics, but they are mixed with sintered (powdered) glass, and some kind of liquid so that the composite can be screen-printed. This composite of glass and conductive ceramic (cermet) material is then fused (baked) in an oven at about 850 °C.

Traditionally thick film resistors had tolerances of 5%, but in the last few decades, standard tolerances have improved to 2% and 1%. But beware, temperature coefficients of thick film resistors are tyically ±200 ppm, or ±250 ppm, depending on the resistance. Thus a 40 degree Celsius temperature change can add another 1% variation to a 1% resistor.

Thin film resistors are usually specified with tolerances of 0.1, 0.2, 0.5, and 1%, and with temperature coefficients of 5 to 25 ppm. They are usually far more expensive than their thick film cousins. Note, though, that SMD thin film resistors, with 0.5% tolerances, and with 25 ppm temperature coefficients, when bought in full size reel quantities, are about twice the cost of a 1%, 250 ppm thick film resistors.

A common type of axial resistor today is referred to as a metal-film resistor. MELF (Metal Electrode Leadless Face) resistors often use the same technology, but are a cylindrically shaped resistor designed for surface mounting. [Note that other types of resistors, eg carbon composition, are also available in "MELF" packages].

Metal Film resistors are usually coated with nickel chromium (NiCr), but might be coated with any of the cermet materials listed above for thin film resistors. Unlike thin film resistors, the material may be applied using different techniques than sputtering (though that is one such technique). Also, unlike thin-film resistors, the resistance value is determined by cutting a helix through the coating rather than by etching. [This is similar to the way carbon resistors are made.] The result is a reasonable tolerance (0.5, 1, or 2%) and a temperature coefficient of (usually) 25 or 50 ppm.

Wirewound resistors are commonly made by winding a metal wire around a ceramic, plastic, or fiberglass core. The ends of the wire are soldered or welded to two caps, attached to the ends of the core. The assembly is protected with a layer of paint, molded plastic, or an enamel coating baked at high temperature. The wire leads are usually between 0.6 and 0.8 mm in diameter and tinned for ease of soldering. For higher power wirewound resistors, either a ceramic outer case or an aluminium outer case on top of an insulating layer is used. The aluminium cased types are designed to be attached to a heatsink to dissipate the heat; the rated power is dependant on being used with a suitable heatsink, e.g., a 50 W power rated resistor will overheat at around one fifth of the power dissipation if not used with a heatsink.

Note that wirewound resistors, by the very nature of their being "coils", are far more inductive than other types of resistor.

Types of resistors:

## Foil resistor

Foil resistors have had the best precision and stability ever since they were introduced in 1958 by Felix Zandman. One of the important parameters influencing stability is the temperature coefficient of resistance (TCR). Although the TCR of foil resistors is considered extremely low, this characteristic has been further refined over the years.[citation needed]