Definition:Potential/Electric
Definition
An electric potential is the amount of work needed to move a unit of electric charge from a given reference point to a specific point in an electric field without producing an acceleration.
The reference point is usually either Earth or a point at infinity, although any point can be used.
Electric potential is a scalar quantity.
Symbol
The usual symbol used to denote the electric potential on a body is $v$.
Dimension
The dimension of measurement of electric potential is $\mathsf M \mathsf L^2 \mathsf T^{−3} \mathsf I^{−1}$.
Units
The SI unit of electric potential is the volt $\mathrm V$.
In the CGS unrationalised electromagnetic system, the base unit of electric potential is the abvolt $\mathrm {abV}$.
In the CGS unrationalised electrostatic system, the base unit of electric potential is the statvolt $\mathrm {statV}$.
Conversion Factors
\(\ds \) | \(\) | \(\ds 1\) | volt | |||||||||||
\(\ds \text {corresponds to}\) | \(\) | \(\ds 10^8\) | abvolt (or e.m.u. of electric potential) | |||||||||||
\(\ds \text {corresponds to (approximately)}\) | \(\) | \(\ds \dfrac 1 3 \times 10^{-2}\) | statvolt (or e.s.u. of electric potential) |
Also known as
An electric potential is also known as:
In common parlance, an electric potential is referred to as voltage, from the fact that it is usually specified in volts.
Some sources also use this term, but this is deprecated on $\mathsf{Pr} \infty \mathsf{fWiki}$.
Also see
- Results about electric potential can be found here.
Sources
- 1921: C.E. Weatherburn: Elementary Vector Analysis ... (previous) ... (next): Chapter $\text I$. Addition and Subtraction of Vectors. Centroids: Definitions: $1$. Scalar and vector quantities
- 1951: B. Hague: An Introduction to Vector Analysis (5th ed.) ... (previous) ... (next): Chapter $\text I$: Definitions. Elements of Vector Algebra: $1$. Scalar and Vector Quantities
- 1969: J.C. Anderson, D.M. Hum, B.G. Neal and J.H. Whitelaw: Data and Formulae for Engineering Students (2nd ed.) ... (previous) ... (next): $1.$ Units and Abbreviations: $1.2$ SI units $(2)$ Derived units
- 1976: Ralph J. Smith: Circuits, Devices and Systems (3rd ed.) ... (previous) ... (next): Chapter $1$: Electrical Quantities: Definitions and Laws: Definitions: Table $1$-$2$: Important Derived Quantities
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): field: 2. (field of force, force field)
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): potential
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): field: 2. (field of force, force field)
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): potential