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