Definition:Ohm (Unit)
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Definition
The ohm is the SI unit of electrical resistance.
It is defined as being the electrical resistance between two points of an electrical conductor when a constant electric potential of $1$ volt, applied to these points, produces in the conductor an electric current of $1$ ampere, the conductor not being the seat of any electromotive force.
Symbol
- $\Omega$
The symbol for the ohm is $\Omega$.
Its $\LaTeX$ code is \Omega
.
Base Units
The SI base units of the ohm are:
- $\Omega := \mathrm {kg} \, \mathrm m^2 \mathrm s^{-3} \mathrm A^{-2}$
where:
- $\mathrm {kg}$ denotes kilograms
- $\mathrm m$ denotes metres
- $\mathrm s$ denotes seconds (of time).
- $\mathrm A$ denotes ampere.
Source of Name
This entry was named for Georg Simon Ohm.
Sources
- 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
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): ohm
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): ohm