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Farad

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Two electrolytic capacitors. The one on top is axial and rated for 1000µF and the one on the bottom is radial and rated for 10µF.
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Two electrolytic capacitors. The one on top is axial and rated for 1000µF and the one on the bottom is radial and rated for 10µF.

The farad (symbol: F) is the SI unit of capacitance.

Definition

A capacitor has a value of one farad when one coulomb of stored charge causes a potential difference of one volt across its terminals. Its equivalent expression in SI base units is:

[\mbox = \mbox \cdot \mbox^ = \mbox^ \cdot \mbox^ \cdot \mbox^4 \cdot \mbox^2 = \mbox^2 \cdot \mbox^].

This SI unit is named after Michael Faraday. As for all SI units whose names are derived from the proper name of a person, the first letter of its symbol is uppercase (F). But when an SI unit is spelled out, it should always be written in lowercase (farad), unless it begins a sentence or is the name "degree Celsius".
— Based on [The International System of Units], section 5.2.

SI multiples

Multiple Name Symbol Multiple Name Symbol
100 farad F      
101 decafarad daF 10–1 decifarad dF
102 hectofarad hF 10–2 centifarad cF
103 kilofarad kF 10–3 millifarad mF
106 megafarad MF 10–6 microfarad µF
109 gigafarad GF 10–9 nanofarad nF
1012 terafarad TF 10–12 picofarad pF
1015 petafarad PF 10–15 femtofarad fF
1018 exafarad EF 10–18 attofarad aF
1021 zettafarad ZF 10–21 zeptofarad zF
1024 yottafarad YF 10–24 yoctofarad yF

Explanation

Since the farad is a very large unit, values of capacitors are usually in range of microfarads (μF), nanofarads (nF), or picofarads (pF). The picofarad is comically called a "puff" in laboratory usage. The millifarad is rarely used in practice, so that a capacitance of 4.7×10−3 F, for example, is usually written as 4700 μF. Very small capacitance values, such as those used in integrated circuits may also be expressed in femtofarads, one femtofarad being equal to 1×10−15 F. A new technology called supercapacitors offers devices up to the kilofarad range.

The farad should not be confused with the faraday, an old unit of charge nowadays superseded by the coulomb.

The reciprocal of capacitance is called electrical elastance, the (non-standard, non-SI) unit of which is the daraf.

A capacitor consists of two conducting surfaces, frequently referred to as plates, separated by an insulating layer usually referred to as a dielectric. The original capacitor was the Leyden Jar developed in the 18th century. It is the accumulation of charge on the plates that results in capacitance. Modern capacitors are constructed using a range of manufacturing techniques and materials to provide the extraordinary wide range of capacitance values used in practical electronics applications from femtofarads to farads and voltage withstand capabilities from a few volts to a several kV.

 


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