IEC 60050 - International Electrotechnical Vocabulary

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IEVref:	113-07-52		ID:
Language:	en		Status: Standard

Term:	continuity equation
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Definition:	fundamental law stating that $Div \underline{\underline{J}} = 0$ , where $\underline{\underline{J}}$ is four-current density and $Div$ is four-divergence Note 1 to entry: As a result of the continuity equation, in three dimensions, $div \vec{J} = div (ρ \vec{v}) = \frac{d ρ}{d t}$ , where $\vec{J}$ is electric current density, $ρ$ is volumic electric charge, and $\vec{v}$ is the velocity of charge carriers. Note 2 to entry: The continuity equation expresses the law of charge conservation (see IEV 113-02-10, Note 2 to entry).
Publication date:	2022-06
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Div J _ _ =0 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaGaaiiraiaacMgacaGG2b GaaGjbVpaameaabaGaamOsaaaacqGH9aqpcaaIWaaaaa@3A82@ J _ _ MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaWaaWqaaeaacaWGkbaaaa aa@3486@ four-current density Div MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaGaaiiraiaacMgacaGG2b aaaa@3655@ four-divergenceNote 1 to entry: As a result of the continuity equation, in three dimensions,

div \vec{J} = div (ρ \vec{v}) = \frac{d ρ}{d t}

, where

\vec{J}

is electric current density,

ρ

is volumic electric charge, and

\vec{v}

is the velocity of charge carriers. Note 2 to entry: The continuity equation expresses the law of charge conservation (see IEV 113-02-10, Note 2 to entry).