The volt (symbol: V) is the unit of electric potential or electromotive force in the International System of Units (SI). It is named after the Italian physicist Alessandro Volta, who invented the voltaic pile, the first chemical battery. The volt is defined as one joule of energy per coulomb of charge. Mathematically, it is expressed as:

Volt (V) = Joule (J) / Coulomb (C)

In equations, you may see it written as:

V=W/Q

where:

V is voltage in volts,
W is energy in joules,
Q is electric charge in coulombs.

The volt is used to quantify the electric potential difference between two points in an electrical circuit. It represents the work done per unit charge in moving a positive test charge from one point to another. One volt is the potential difference that will impart one joule of energy to each coulomb of charge that passes through it.

The volt is a fundamental unit in electricity and is widely used in electrical engineering, physics, and other fields. It is part of the International System of Units (SI) and is crucial for describing and measuring the behavior of electrical circuits and components. Common multiples and submultiples of the volt include the kilovolt (kV), which is equal to 1,000 volts, and the millivolt (mV), which is equal to one thousandth of a volt.