Frequent Links
Farad
 Not to be confused with faraday (unit). For the former settlement in California, see Farad, California.
Farad  

300px A comparatively small 1 farad capacitor, for low voltages and current transfers  
Unit information  
Unit system  SI derived unit 
Unit of  Capacitance 
Symbol  F 
Named after  Michael Faraday 
In SI base units:  1 F = 1 s^{4}·A^{2}·m^{−2}·kg^{−1} 
The farad (symbol: F) is the SI derived unit of electrical capacitance, the ability of a body to store an electrical charge. It is named after the English physicist Michael Faraday.
Contents
Definition
One farad is defined as the capacitance of a capacitor across which, when charged with one coulomb of electricity, there is a potential difference of one volt.^{[1]} Conversely, it is the capacitance which, when charged to a potential difference of one volt, carries a charge of one coulomb.^{[2]} A coulomb is equal to the amount of charge (electrons) produced by a current of one ampere (A) flowing for one second. For example, the voltage across the two terminals of a 2 F capacitor will increase linearly by 1 V when a current of 2 A flows through it for 1 second.
For most applications, the farad is an impractically large unit of capacitance. Most electrical and electronic applications are covered by the following SI prefixes:
 1 mF (millifarad, one thousandth (10^{−3}) of a farad) = Script error: No such module "Gaps". μF = Script error: No such module "Gaps". nF
 1 μF (microfarad, one millionth (10^{−6}) of a farad) = Script error: No such module "Gaps". nF = Script error: No such module "Gaps". pF
 1 nF (nanofarad, one billionth (10^{−9}) of a farad) = Script error: No such module "Gaps". pF
 1 pF (picofarad, one trillionth (10^{−12}) of a farad)
Equalities
A farad has the base SI representation of: s^{4} × A^{2} × m^{−2} × kg^{−1}
It can further be expressed as:
 <math>\mbox{F}
= \,\mathrm{\frac{A \cdot s}{V} = \dfrac{\mbox{J}}{\mbox{V}^2} = \dfrac{\mbox{W} \cdot \mbox{s}}{\mbox{V}^2} = \dfrac{\mbox{C}}{\mbox{V}} = \dfrac{\mbox{C}^2}{\mbox{J}} = \dfrac{\mbox{C}^2}{\mbox{N} \cdot \mbox{m}} = \dfrac{\mbox{s}^2 \cdot \mbox{C}^2}{\mbox{m}^{2} \cdot \mbox{kg}} = \dfrac{\mbox{s}^4 \cdot \mbox{A}^2}{\mbox{m}^{2} \cdot \mbox{kg}} = \dfrac{\mbox{s}}{\Omega}} = \dfrac{\mbox{s}^{2}}{\mbox{H}} </math>
where A=ampere, V=volt, C=coulomb, J=joule, m=metre, N=newton, s=second, W=watt, kg=kilogram, Ω=ohm, H=henry.
History
The term "farad" was originally coined by Latimer Clark and Charles Bright in 1861, in honor of Michael Faraday, for a unit of quantity of charge but, starting in 1881 at the International Congress of Electricians in Paris, the name farad was officially used for the unit of electrical capacitance.^{[3]}
Explanation
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 electric charge on the plates that results in capacitance. Modern capacitors are constructed using a range of manufacturing techniques and materials to provide the extraordinarily wide range of capacitance values used in electronics applications from femtofarads to farads, with maximumvoltage ratings ranging from a few volts to several kilovolts.
Values of capacitors are usually specified in farads (F), microfarads (μF), nanofarads (nF) and picofarads (pF).^{[4]} The millifarad is rarely used in practice (a capacitance of 4.7 mF (0.0047 F), for example, is instead written as Script error: No such module "Gaps".), while the nanofarad is uncommon in North America.^{[5]} The size of commercially available capacitors ranges from around 0.1 pF to Script error: No such module "Gaps". (5 kF) supercapacitors. Parasitic capacitance in highperformance integrated circuits can be measured in femtofarads (1 fF = 0.001 pF = 10^{−15} F), while highperformance test equipment can detect changes in capacitance on the order of tens of attofarads (1 aF = Script error: No such module "Gaps". pF = 10^{−18} F).^{[6]}
A value of 0.1 pF is about the smallest available in capacitors for general use in electronic design, since smaller ones would be dominated by the parasitic capacitances of other components, wiring or printed circuit boards. Capacitance values of 1 pF or lower can be achieved by twisting two short lengths of insulated wire together.^{[7]}^{[8]}
The capacitance of the Earth's ionosphere with respect to the ground is calculated to be about 1 F.^{[9]}
Informal terminology
The picofarad is sometimes colloquially pronounced as "puff" or "pic", as in "a tenpuff capacitor".^{[10]} Similarly, "mic" (pronounced "mike") is sometimes used informally to signify microfarads. If the Greek letter μ is not available, the notation "uF" is often used as a substitute for "μF" in electronics literature. A "micromicrofarad" (μμF, and confusingly often mmf or MMF), an obsolete unit sometimes found in older texts, is the equivalent of a picofarad.^{[11]}
Related concepts
The reciprocal of capacitance is called electrical elastance, the (nonstandard, nonSI) unit of which is the daraf.^{[12]}
CGS units
The abfarad (abbreviated abF) is an obsolete CGS unit of capacitance equal to 10^{9} farads (1 gigafarad, GF). This very large unit is used in medical terminology only.
The statfarad (abbreviated statF) is a rarely used CGS unit equivalent to the capacitance of a capacitor with a charge of 1 statcoulomb across a potential difference of 1 statvolt. It is 1/(10^{−5}c^{2}) farad, approximately 1.1126 picofarads.
See also
Notes
 ^ The International System of Units (SI) (PDF) (8th ed.). Bureau International des Poids et Mesures (International Committee for Weights and Measures). 2006. p. 144.
 ^ Peter M B Walker, ed. (1995). Dictionary of Science and Technology. Larousse. ISBN 0752300105.
 ^ Tunbridge, Paul (1992). Lord Kelvin : his influence on electrical measurements and units. London: Peregrinus. pp. 26, 39–40. ISBN 9780863412370. Retrieved 5 May 2015.
 ^ Braga, Newton C. (2002). Robotics, Mechatronics, and Artificial Intelligence. Newnes. p. 21. ISBN 0750673893. Retrieved 20080917.
Common measurement units are the microfarad (μF), representing 0.000,001 F; the nanofarad (nF), representing 0.000,000,001 F; and the picofarad (pF), representing 0.000,000,000,001 F.
 ^ Platt, Charles (2009). Make: Electronics: Learning Through Discovery. O'Reilly Media. p. 61. ISBN 9781449388799. Retrieved 20140722.
Nanofarads are also used, more often in Europe than in the United States.
 ^ Gregorian, Roubik (1976). Analog MOS Integrated Circuits for Signal Processing. John Wiley & Sons. p. 78.
 ^ Pease, Bob (2 September 1993). "What's All This Femtoampere Stuff, Anyhow?". Electronic Design. Retrieved 20130309.
 ^ Pease, Bob (1 December 2006). "What's All This Best Stuff, Anyhow?". Electronic Design. Retrieved 20130309.
 ^ Williams, L. L. (January 1999). "Electrical Properties of the FairWeather Atmosphere and the Possibility of Observable Discharge on Moving Objects" (PDF). Retrieved 20120813.
 ^ "Puff". Wolfram Research. Retrieved 20090609.
 ^ In texts prior to 1960, mf rather than the modern µF frequently represented microfarads. Similarly, mmf represented picofarads.
 ^ "Daraf". Webster's Online Dictionary. Retrieved 20090619.
External links
