The coulomb (symbol: C) is the unit of
electric charge
Electric charge (symbol ''q'', sometimes ''Q'') is a physical property of matter that causes it to experience a force when placed in an electromagnetic field. Electric charge can be ''positive'' or ''negative''. Like charges repel each other and ...
in the
International System of Units
The International System of Units, internationally known by the abbreviation SI (from French ), is the modern form of the metric system and the world's most widely used system of measurement. It is the only system of measurement with official s ...
(SI).
[
] It is defined to be equal to the electric charge delivered by a 1
ampere current in 1
second, with the
elementary charge
The elementary charge, usually denoted by , is a fundamental physical constant, defined as the electric charge carried by a single proton (+1 ''e'') or, equivalently, the magnitude of the negative electric charge carried by a single electron, ...
''e'' as a defining constant in the SI.
Definition
The
SI defines the coulomb as "the quantity of electricity carried in 1 second by a current of 1 ampere" by fixing the value of the
elementary charge
The elementary charge, usually denoted by , is a fundamental physical constant, defined as the electric charge carried by a single proton (+1 ''e'') or, equivalently, the magnitude of the negative electric charge carried by a single electron, ...
, .
Inverting the relationship, the coulomb can be expressed in terms of the elementary charge:
It is approximately and is thus not an integer multiple of the elementary charge.
The coulomb was
previously defined in terms of the
ampere based on the force between two wires, as .
The
2019 redefinition of the ampere and other SI base units fixed the numerical value of the elementary charge when expressed in coulombs and therefore fixed the value of the coulomb when expressed as a multiple of the fundamental charge.
SI prefixes
Like other SI units, the coulomb can be modified by adding a
prefix
A prefix is an affix which is placed before the stem of a word. Particularly in the study of languages, a prefix is also called a preformative, because it alters the form of the word to which it is affixed.
Prefixes, like other affixes, can b ...
that multiplies it by a
power of 10.
Conversions
* The magnitude of the electrical charge of one
mole of
elementary charge
The elementary charge, usually denoted by , is a fundamental physical constant, defined as the electric charge carried by a single proton (+1 ''e'') or, equivalently, the magnitude of the negative electric charge carried by a single electron, ...
s (approximately , the Avogadro number) is known as a
faraday unit of charge (closely related to the
Faraday constant). One faraday equals In terms of the
Avogadro constant (''N''
A), one coulomb is equal to approximately × ''N''
A elementary charges.
* Every
farad of
capacitance can hold one coulomb per
volt
The volt (symbol: V) is the unit of electric potential, Voltage#Galvani potential vs. electrochemical potential, electric potential difference (voltage), and electromotive force in the International System of Units, International System of Uni ...
across the
capacitor.
* One
ampere hour equals , hence = .
* One
statcoulomb (statC), the obsolete
CGS electrostatic unit of charge (esu), is approximately or about one-third of a nanocoulomb.
In everyday terms
* The charges in
static electricity
Static electricity is an imbalance of electric charges within or on the surface of a material. The charge remains until it can move away by an electric current or electrical discharge. The word "static" is used to differentiate it from electric ...
from rubbing materials together are typically a few microcoulombs.
* The amount of charge that travels through a
lightning bolt is typically around 15 C, although for large bolts this can be up to 350 C.
* The amount of charge that travels through a typical
alkaline
In chemistry, an alkali (; from the Arabic word , ) is a basic salt of an alkali metal or an alkaline earth metal. An alkali can also be defined as a base that dissolves in water. A solution of a soluble base has a pH greater than 7.0. The ...
AA battery
The AA battery (or double-A battery) is a standard size single cell cylindrical Dry cell, dry battery. ANSI and IEC battery nomenclature gives several designations for cells in this size, depending on cell features and chemistry. The Battery nom ...
from being fully charged to discharged is about = ≈ .
* A typical smartphone battery can hold ≈ .
Name and history

By 1878, the
British Association for the Advancement of Science had defined the volt, ohm, and farad, but not the coulomb. In 1881, the
International Electrical Congress, now the
International Electrotechnical Commission
The International Electrotechnical Commission (IEC; ) is an international standards organization that prepares and publishes international standards for all electrical, electronics, electronic and related technologies. IEC standards cover a va ...
(IEC), approved the volt as the unit for electromotive force, the ampere as the unit for electric current, and the coulomb as the unit of electric charge.
At that time, the volt was defined as the potential difference
.e., what is nowadays called the "voltage (difference)"across a conductor when a current of one ampere dissipates one
watt
The watt (symbol: W) is the unit of Power (physics), power or radiant flux in the International System of Units (SI), equal to 1 joule per second or 1 kg⋅m2⋅s−3. It is used to quantification (science), quantify the rate of Work ...
of power.
The coulomb (later "absolute coulomb" or "
abcoulomb" for disambiguation) was part of the
EMU system of units. The "international coulomb" based on laboratory specifications for its measurement was introduced by the IEC in 1908. The entire set of "reproducible units" was abandoned in 1948 and the "international coulomb" became the modern coulomb.
[Donald Fenna, ''A Dictionary of Weights, Measures, and Units'', OUP (2002), 51f.]
See also
*
Abcoulomb, a cgs unit of charge
*
Ampère's circuital law
*
Coulomb's law
Coulomb's inverse-square law, or simply Coulomb's law, is an experimental scientific law, law of physics that calculates the amount of force (physics), force between two electric charge, electrically charged particles at rest. This electric for ...
*
Electrostatics
Electrostatics is a branch of physics that studies slow-moving or stationary electric charges.
Since classical antiquity, classical times, it has been known that some materials, such as amber, attract lightweight particles after triboelectric e ...
*
Elementary charge
The elementary charge, usually denoted by , is a fundamental physical constant, defined as the electric charge carried by a single proton (+1 ''e'') or, equivalently, the magnitude of the negative electric charge carried by a single electron, ...
*
Faraday constant, the number of coulombs per mole of elementary charges
Notes and references
{{Ionising radiation related quantities
SI derived units
Units of electrical charge