Editing Farad (section)

==Definition==
The [[capacitance]] of a capacitor is one farad when one [[coulomb]] of charge changes the potential between the plates by one [[volt]].<ref name=":0">{{cite book|title=The International System of Units (SI)|date=2006|publisher=Bureau International des Poids et Mesures (International Committee for Weights and Measures)|page=144|url=https://www.bipm.org/en/publications/si-brochure/|edition=8th}}</ref><ref>{{Cite web |title=farad {{!}} Definition, Symbol, & Facts {{!}} Britannica |url=https://www.britannica.com/science/farad |access-date=2022-07-25 |website=www.britannica.com |language=en}}</ref> Equally, one farad can be described as the capacitance which stores a one-coulomb charge across a potential difference of one volt.<ref>{{cite book|title=Dictionary of Science and Technology|date=1995|publisher=Larousse|isbn=0752300105|editor=Peter M B Walker}}</ref>

The relationship between capacitance, charge, and potential difference is linear. For example, if the potential difference across a [[capacitor]] is halved, the quantity of charge stored by that capacitor will also be halved.<!--Sub-units are not defined yet so stick to the main units-->

For most applications, the farad is an impractically large unit of capacitance. Most electrical and electronic applications are covered by the following [[SI prefix]]es:

*1&nbsp;mF (millifarad, one thousandth ({{10^|−3}}) of a farad) = 0.001&nbsp;F = {{gaps|1|000}}&nbsp;μF = {{gaps|1|000|000|000}}&nbsp;pF
*1&nbsp;μF (microfarad, one millionth ({{10^|−6}}) of a farad) = 0.000&nbsp;001&nbsp;F = {{gaps|1|000}}&nbsp;nF = {{gaps|1|000|000}}&nbsp;pF
*1&nbsp;nF (nanofarad, one billionth ({{10^|−9}}) of a farad) = 0.000&nbsp;000&nbsp;001&nbsp;F = 0.001&nbsp;μF = {{gaps|1|000}}&nbsp;pF
*1&nbsp;pF (picofarad, one trillionth ({{10^|−12}}) of a farad) = 0.000&nbsp;000&nbsp;000&nbsp;001&nbsp;F = 0.001&nbsp;nF

===Equalities===
A farad is a [[SI derived unit|derived unit]] based on four of the seven base units of the [[International System of Units]]: [[kilogram]] (kg), [[metre]] (m), [[second]] (s), and [[ampere]] (A).

Expressed in combinations of SI units, the farad is:
<math display="block">\text{F}
= \dfrac{\text{s}^4 {\cdot} \text{A}^2}{\text{m}^{2} {\cdot} \text{kg}}
= \dfrac{\text{s}^2 {\cdot} \text{C}^2}{\text{m}^{2} {\cdot} \text{kg}}
= \dfrac{\text{C}}{\text{V}}
= \dfrac{\text{A} {\cdot} \text{s}}{\text{V}}
= \dfrac{\text{W} {\cdot} \text{s}} {{\text{V}^2} }
= \dfrac{\text{J}}{{\text{V}^2} }
= \dfrac{\text{N} {\cdot} \text{m}} {{\text{V}^2} }
= \dfrac{\text{C}^2}{\text{J}}
= \dfrac{\text{C}^2}{\text{N} {\cdot} \text{m}}
= \dfrac{\text{s}}{\Omega}
= \dfrac{1}{\Omega {\cdot} \text{Hz}}
= \dfrac{\text{S}}{\text{Hz}}
= \dfrac{\text{s}^{2}}{\text{H}},
</math>

where {{nowrap|1=F = farad}}, {{nowrap|1=s = [[second]]}}, {{nowrap|1=C = [[coulomb]]}}, {{nowrap|1=V = [[volt]]}}, {{nowrap|1=W = [[watt]]}}, {{nowrap|1=J = [[joule]]}}, {{nowrap|1=N = [[newton (unit)|newton]]}}, {{nowrap|1=Ω = [[ohm]]}}, Hz = [[hertz]], {{nowrap|1=S = [[siemens (unit)|siemens]]}}, {{nowrap|1=H = [[henry (unit)|henry]]}}, {{nowrap|1=A = [[ampere (unit)|ampere]]}}.<ref>{{Cite book |url=https://www.bipm.org/documents/20126/41483022/SI-Brochure-9-EN.pdf/2d2b50bf-f2b4-9661-f402-5f9d66e4b507 |title=The International System of Units (SI) |publisher=Bureau International des Poids et Mesures |year=2019 |edition=9th |pages=138}}</ref>