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IEVref: | 103-02-03 | ID: | |

Language: | en | Status: Standard | |

Term: | RMS value, <for a time-dependent quantity> | ||

Synonym1: | root-mean-square value, <for a time-dependent quantity> | ||

Synonym2: | effective value | ||

Synonym3: | |||

Symbol: | |||

Definition: | 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 $a(t)=\widehat{A}\mathrm{cos}(\omega \text{\hspace{0.17em}}t+{\vartheta}_{0})$, the root-mean-square value is ${A}_{\text{eff}}=\widehat{A}/\sqrt{2}$. 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 $i(t)$ and voltage $u(t)$ are usually denoted Note 5 to entry: The abbreviation RMS was formerly denoted as r.m.s. or rms, but these notations are now deprecated. | ||

Publication date: | 2017-07 | ||

Source: | |||

Replaces: | 103-02-03:2009-12 | ||

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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 $a(t)=\widehat{A}\mathrm{cos}(\omega \text{\hspace{0.17em}}t+{\vartheta}_{0})$, the root-mean-square value is ${A}_{\text{eff}}=\widehat{A}/\sqrt{2}$.

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 $i(t)$ and voltage $u(t)$ 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.