Introduction
A resistor is a passive two-terminal electrical component that
implements electrical resistance as a circuit element. In electronic circuits,
resistors are used to reduce current flow, adjust signal levels, to divide
voltages, bias active elements, and terminate transmission lines, among other
uses. High-power resistors that can dissipate many watts of electrical power as
heat may be used as part of motor controls, in power distribution systems, or
as test loads for generators. Fixed resistors have resistances that only change
slightly with temperature, time or operating voltage. Variable resistors can be
used to adjust circuit elements (such as a volume control or a lamp dimmer), or
as sensing devices for heat, light, humidity, force, or chemical activity.
Resistors are common elements of electrical networks and electronic
circuits and are ubiquitous in electronic equipment. Practical resistors as
discrete components can be composed of various compounds and forms. Resistors
are also implemented within integrated circuits. The electrical function of a
resistor is specified by its resistance: common commercial resistors are
manufactured over a range of more than nine orders of magnitude. The nominal
value of the resistance falls within the manufacturing tolerance, indicated on
the component.
Electronic color code
The electronic color code is used to indicate the values or ratings of
electronic components, usually for resistors, but also for capacitors,
inductors, diodes and others. A separate code, the 25-pair color code, is used
to identify wires in some telecommunications cables.
The electronic color code was developed in the early 1920s by the Radio
Manufacturers Association (now part of Electronic Industries Alliance (EIA)),
and was published as EIA-RS-279. Originally, it was also known as RETMA color
code (from Radio Electronics Television Manufacturers' Association). Similar,
BS 1852 defined a color code as well as a letter and digit code for resistors
and capacitors. The current international standard defining marking codes for
resistors and capacitors is IEC 60062. Published by International Electro technical
Commission.
Colorbands were used because they were easily and cheaply printed on
tiny components. However, there were drawbacks, especially for color blind
people. Overheating of a component or dirt accumulation, may make it impossible
to distinguish brown from red or orange. Advances in printing technology have
now made printed numbers practical on small components. Where passive
components come in surface mount packages, their values are identified with
printed alphanumeric codes instead of a color code.
Resistor color-coding
Resistors use preferred numbers for their specific values, which are
determined by their tolerance. These values repeat for every decade of
magnitude: 6.8, 68, 680, and so forth. In the E24 series the values are related
by the 24th root of 10, while E12 series are related by the 12th root of 10,
and E6 series by the 6th root of 10. The tolerance of device values is arranged
so that every value corresponds to a preferred number, within the required
tolerance.
Theory of operation (Ohm's law )
The behavior of an ideal resistor
is dictated by the relationship specified by Ohm's law:
V=I R.
Ohm's law states that the voltage (V) across a resistor is proportional
to the current (I), where the constant of proportionality is the resistance
(R). For example, if a 300 ohm resistor is attached across the terminals of a
12 volt battery, then a current of 12 / 300 = 0.04 amperes flows through that
resistor. Practical resistors also have some inductance and capacitance which
affect the relation between voltage and current in alternating current
circuits.
The ohm (symbol: Ω) is the SI unit of electrical resistance, named after
Georg Simon Ohm. An ohm is equivalent to a volt per ampere. Since resistors are
specified and manufactured over a very large range of values, the derived units
of milliohm (1 mΩ = 10−3 Ω), kilohm (1 kΩ = 103 Ω), and megohm (1 MΩ = 106 Ω)
are also in common usage.
Series and parallel resistors
The total resistance of resistors connected in series is the sum of
their individual resistance values.
The total resistance of resistors connected in parallel is the
reciprocal of the sum of the reciprocals of the individual resistors.
For example, a 10 ohm resistor connected in parallel with a 5 ohm
resistor and a 15 ohm resistor produces
A resistor network that is a combination of parallel and series
connections can be broken up into smaller parts that are either one or the
other. Some complex networks of resistors cannot be resolved in this manner,
requiring more sophisticated circuit analysis. Generally, the Y-Δ transform, or
matrix methods can be used to solve such problems.
Properties
Practical resistors have a series inductance and a small parallel
capacitance; these specifications can be important in high-frequency
applications. In a low-noise amplifier or pre-amp, the noise characteristics of
a resistor may be an issue. The temperature coefficient of the resistance may
also be of concern in some precision applications.
The unwanted inductance, excess noise, and temperature coefficient are
mainly dependent on the technology used in manufacturing the resistor. They are
not normally specified individually for a particular family of resistors
manufactured using a particular technology. A family of discrete resistors
is also characterized according to its form factor, that is, the size of the
device and the position of its leads (or terminals) which is relevant in the
practical manufacturing of circuits using them.
Practical resistors are also specified as having a maximum power rating
which must exceed the anticipated power dissipation of that resistor in a
particular circuit: this is mainly of concern in power electronics
applications. Resistors with higher power ratings are physically larger and may
require heat sinks. In a high-voltage circuit, attention must sometimes be paid
to the rated maximum working voltage of the resistor. While there is no minimum
working voltage for a given resistor, failure to account for a resistor's
maximum rating may cause the resistor to incinerate when current is run through
it.
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