Queries, comments, suggestions? Please contact us.



Area Mathematics - Functions / Means

IEV ref103-02-03

en
RMS value, <for a time-dependent quantity>
root-mean-square value, <for a time-dependent quantity>
effective value
for a time-dependent quantity, positive square root of the mean value of the square of the quantity taken over a given time interval

Note 1 to entry: The root-mean-square value of a periodic quantity is usually taken over an integration interval the range of which is the period multiplied by a natural number.

Note 2 to entry: For a sinusoidal quantity a(t)= A ^ cos(ωt+ ϑ 0 ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeGaciWaamGadaGadeaabaGaaqaaaOqaaiaadggacaGGOaGaam iDaiaacMcacqGH9aqpceWGbbGbaKaajugabiGacogacaGGVbGaai4C aOGaaiikaiabeM8a3jaaykW7caWG0bGaey4kaSIaeqy0dO0aaSbaaS qaaKqzadGaaGimaaWcbeaakiaacMcaaaa@480D@ , the root-mean-square value is A eff = A ^ / 2 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeGaciWaamGadaGadeaabaGaaqaaaOqaaiaadgeadaWgaaWcba qcLbmacaqGLbGaaeOzaiaabAgaaSqabaGccqGH9aqpceWGbbGbaKaa caGGVaWaaOaaaeaajugabiaaikdaaSqabaaaaa@3E14@ .

Note 3 to entry: The root-mean-square value of a quantity may be denoted by adding one of the subscripts eff or rms to the symbol of the quantity.

Note 4 to entry: In electrical technology, the root-mean-square values of electric current i(t) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeGaciWaamGadaGadeaabaGaaqaaaOqaaiaadMgacaGGOaGaam iDaiaacMcaaaa@3890@ and voltage u(t) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeGaciWaamGadaGadeaabaGaaqaaaOqaaiaadwhacaGGOaGaam iDaiaacMcaaaa@389C@ are usually denoted I and U, respectively.

Note 5 to entry: The abbreviation RMS was formerly denoted as r.m.s. or rms, but these notations are now deprecated.


fr
valeur efficace, f
pour une grandeur fonction du temps, racine carrée positive de la valeur moyenne du carré de la grandeur prise sur un intervalle de temps donné

Note 1 à l'article: La valeur efficace d'une grandeur périodique est généralement prise sur un intervalle d'intégration dont l’étendue est le produit de la période par un entier naturel.

Note 2 à l'article: Pour une grandeur sinusoïdale a(t)= A ^ cos(ωt+ ϑ 0 ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeGaciWaamGadaGadeaabaGaaqaaaOqaaiaadggacaGGOaGaam iDaiaacMcacqGH9aqpceWGbbGbaKaajugabiGacogacaGGVbGaai4C aOGaaiikaiabeM8a3jaaykW7caWG0bGaey4kaSIaeqy0dO0aaSbaaS qaaKqzadGaaGimaaWcbeaakiaacMcaaaa@480D@ , la valeur efficace est A eff = A ^ / 2 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeGaciWaamGadaGadeaabaGaaqaaaOqaaiaadgeadaWgaaWcba qcLbmacaqGLbGaaeOzaiaabAgaaSqabaGccqGH9aqpceWGbbGbaKaa caGGVaWaaOaaaeaajugabiaaikdaaSqabaaaaa@3E14@ .

Note 3 à l'article: La valeur efficace d'une grandeur peut être notée en ajoutant l'indice eff au symbole de la grandeur.

Note 4 à l'article: En électrotechnique, les valeurs efficaces d'un courant électrique i(t) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeGaciWaamGadaGadeaabaGaaqaaaOqaaiaadMgacaGGOaGaam iDaiaacMcaaaa@3890@ et d’une tension électrique u(t) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeGaciWaamGadaGadeaabaGaaqaaaOqaaiaadwhacaGGOaGaam iDaiaacMcaaaa@389C@ sont généralement notées respectivement I et U.

Note 5 à l'article: L’abréviation anglaise RMS était anciennement écrite r.m.s. ou rms, mais ces notations sont maintenant déconseillées.


ar
قيمة فعالة أو القيمة المؤثرة
قيمة الجذر التربيعى لمتوسط المربعات(2)

de
Effektivwert, m

es
valor eficaz

it
radice della media dei quadrati
valore efficace

ja
実効値 (2)
rms値 (2)
有効値

pl
wartość skuteczna

pt
valor eficaz

sr
ефективна вредност, ж јд
rms вредност, ж јд
ефективна вредност, ж јд

sv
effektivvärde

zh
方均根值, <相关条目:103-02-02>
有效值

Publication date: 2017-07
Copyright © IEC 2017. All Rights Reserved.