Definition:Farad
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Definition
The farad is the SI unit of capacitance.
It is defined as being the amount of capacitance of a capacitor between the plates of which an electric potential of $1$ volt appears when it stores $1$ coulomb of electric charge:
- $1 \, \mathrm F = 1 \, \mathrm C \, \mathrm V^{-1}$
that is, $1$ coulomb per volt.
Symbol
- $\mathrm F$
The symbol for the farad is $\mathrm F$.
Its $\LaTeX$ code is \mathrm F
.
Base Units
The SI base units of the farad are:
- $\mathrm F := \mathrm {kg}^{-1} \, \mathrm m^{-2} \, \mathrm s^4 \mathrm A^2$
where:
- $\mathrm {kg}$ denotes kilograms
- $\mathrm m$ denotes metres
- $\mathrm s$ denotes seconds (of time).
- $\mathrm A$ denotes ampere.
This arises from its definition as $\mathrm Q \, \mathrm V^{-1}$, that is: coulombs per volt.
Source of Name
This entry was named for Michael Faraday.
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): farad
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): farad