§ DICTIONARY · UNIT

Coulomb (unit)

The SI unit of electric charge. One coulomb equals the charge carried by 6.24 × 10¹⁸ protons, or the charge that flows past a point in one second when the current is one ampere.

§ 01

Definition

The coulomb (symbol C) is the SI unit of electric charge. Since the 2019 SI redefinition it has been defined exactly: one coulomb is the charge of 1/(1.602176634 × 10⁻¹⁹) elementary charges — roughly 6.24 quintillion protons' worth. Equivalently, one coulomb is the charge that passes through a cross-section of a conductor in one second when the current is one ampere.

A coulomb is an enormous amount of charge by human standards. Two one-coulomb charges placed one metre apart would repel each other with about nine billion newtons of force — roughly the weight of a million tonnes. That is why you never encounter "a coulomb" in electrostatics: a lightning bolt transfers only about 5–20 coulombs during its entire stroke, and a well-charged van de Graaff generator carries microcoulombs at most. In circuits, however, coulombs move effortlessly: a 1 A current moves one coulomb per second, so a household appliance drawing 10 A pushes tens of coulombs through its wires each second.

The unit honours Charles-Augustin de Coulomb, who first quantified how charges interact. It is the practical bridge between the microscopic elementary charge and the macroscopic currents that run civilisation.