Coulomb

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The coulomb (symbol: C) is the SI unit of electric charge. It is named after Charles-Augustin de Coulomb.

Definition 1 coulomb is the amount of electric charge transported by a current (electricity) of 1 ampere in 1 second. 1 \,\mathrm{C} = 1 \,\mathrm{A} \cdot 1 \,\mathrm{s}

It can also be defined in terms of capacitance and voltage, where one coulomb is defined as one farad of capacitance times one volt of electric potential difference:

1 \,\mathrm{C} = 1 \,\mathrm{F} \cdot 1 \,\mathrm{V}

Explanation In principle, the coulomb could be defined in terms of the charge of an electron or elementary charge. Since the values of the Josephson constant (CIPM (1988) Recommendation 1, PV 56; 19) and von Klitzing constant (CIPM (1988), Recommendation 2, PV 56; 20) constants have been given conventional values (KJ ≡ 4.835 979 Hz/V and RK ≡ 2.581 280 7 Ω), it is possible to combine these values to form an alternative (not yet official) definition of the coulomb. A coulomb is then equal to exactly 6.241 509 629 152 65 elementary charges. Combined with the present definition of the ampere, this proposed definition would make the kilogram a derived unit.

If two point charges of + 1 C are held one meter away from each other, the repulsive force they will feel is given by Coulomb's Law as 8.988 N . This is roughly equal to the gravitational force of 900,000 metric tons of mass at the surface of the Earth; in everyday terms, it's enough force to accelerate an Airbus A380 airplane up to a final speed of 76,857 km/h in 1 second. In everyday life, most things don't have a large surplus of charge!

Historical note The ampere was historically a derived unit - being defined as 1 coulomb per second. Therefore the coulomb, rather than the ampere, was the SI base electrical unit.

In 1960 the SI system made the ampere the base unit. Kowalski, Ludwik, "A SHORT HISTORY OF THE SI UNITS IN ELECTRICITY" pp 97-99 vo 24, The Physics Teacher, Feb 1986

SI multiples {{SI multiples|unit=coulomb||symbol=C|note=Common multiples are in bold face.|n=|mc=|m=-->

Conversions

The electrical charge of one mole (unit) of electrons (approximately 6.022, or Avogadro's number) is known as a faraday (actually –1 faraday, since electrons are negatively charged). One faraday equals 96.485 341 5 kC (the Faraday constant). In terms of Avogadro's number (NA), one coulomb is equal to approximately 1.036 × NA elementary charges.

one ampere-hour = 3600 C

The elementary charge is approximately 160.2176 zC.

One statcoulomb (statC), the CGS electrostatic unit of charge (esu), is approximately 3.3356 C or about 1/3 nC.

1 coulomb is the amount of electrical charge in 6.241506 electrons or other elementary charged particles.

The charge of one electron is equal to -1.6022 C

See also

Statcoulomb, the cgs unit of charge
Faraday, an obsolete unit
Coulomb's law
Current (electricity)
Faraday constant
Quantity of electricity
SI
Ampere
Farad

References Kowalski, Ludwik, "A SHORT HISTORY OF THE SI UNITS IN ELECTRICITY" pp 97-99 vo 24, The Physics Teacher, Feb 1986

The coulomb (symbol: C) is the SI unit of electric charge. It is named after Charles-Augustin de Coulomb.

Definition 1 coulomb is the amount of electric charge transported by a current (electricity) of 1 ampere in 1 second. 1 \,\mathrm{C} = 1 \,\mathrm{A} \cdot 1 \,\mathrm{s}

It can also be defined in terms of capacitance and voltage, where one coulomb is defined as one farad of capacitance times one volt of electric potential difference:

1 \,\mathrm{C} = 1 \,\mathrm{F} \cdot 1 \,\mathrm{V}

Explanation In principle, the coulomb could be defined in terms of the charge of an electron or elementary charge. Since the values of the Josephson constant (CIPM (1988) Recommendation 1, PV 56; 19) and von Klitzing constant (CIPM (1988), Recommendation 2, PV 56; 20) constants have been given conventional values (KJ ≡ 4.835 979 Hz/V and RK ≡ 2.581 280 7 Ω), it is possible to combine these values to form an alternative (not yet official) definition of the coulomb. A coulomb is then equal to exactly 6.241 509 629 152 65 elementary charges. Combined with the present definition of the ampere, this proposed definition would make the kilogram a derived unit.

If two point charges of + 1 C are held one meter away from each other, the repulsive force they will feel is given by Coulomb's Law as 8.988 N . This is roughly equal to the gravitational force of 900,000 metric tons of mass at the surface of the Earth; in everyday terms, it's enough force to accelerate an Airbus A380 airplane up to a final speed of 76,857 km/h in 1 second. In everyday life, most things don't have a large surplus of charge!

Historical note The ampere was historically a derived unit - being defined as 1 coulomb per second. Therefore the coulomb, rather than the ampere, was the SI base electrical unit.

In 1960 the SI system made the ampere the base unit. Kowalski, Ludwik, "A SHORT HISTORY OF THE SI UNITS IN ELECTRICITY" pp 97-99 vo 24, The Physics Teacher, Feb 1986

SI multiples {{SI multiples|unit=coulomb||symbol=C|note=Common multiples are in bold face.|n=|mc=|m=-->

Conversions

The electrical charge of one mole (unit) of electrons (approximately 6.022, or Avogadro's number) is known as a faraday (actually –1 faraday, since electrons are negatively charged). One faraday equals 96.485 341 5 kC (the Faraday constant). In terms of Avogadro's number (NA), one coulomb is equal to approximately 1.036 × NA elementary charges.

one ampere-hour = 3600 C

The elementary charge is approximately 160.2176 zC.

One statcoulomb (statC), the CGS electrostatic unit of charge (esu), is approximately 3.3356 C or about 1/3 nC.

1 coulomb is the amount of electrical charge in 6.241506 electrons or other elementary charged particles.

The charge of one electron is equal to -1.6022 C