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IEVref:131-12-17ID:
Language:enStatus: Standard
Term: total flux, <in circuit theory>
Synonym1: linked flux, <in circuit theory>
[Deprecated]
Synonym2:
Synonym3:
Symbol: ΨAB
Definition: time integral of the voltage uAB between two terminals A and B of a two-terminal element or n-terminal element

Ψ AB = t 0 t u AB (τ) dτ MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGacaGaciaabmqaamaabaabaaGcbaGaamiQdmaaBa aaleaacaqGbbGaaeOqaaqabaGccqGH9aqpdaWdXaqaaiaadwhadaWg aaWcbaGaaeyqaiaabkeaaeqaaOGaaiikaiabes8a0jaacMcaaSqaai aadshadaWgaaadbaGaaGimaaqabaaaleaacaWG0baaniabgUIiYdGc caGGKbGaeqiXdqhaaa@4769@

where t0 is any instant before the first supply of electric energy

Note 1 to entry: The total flux in circuit theory is only useful in the case of an inductive element.

Note 2 to entry: The definition of total flux in circuit theory is consistent with the more general definition in electromagnetism given in IEV 121-11-78. The total flux in circuit theory is described by inverting the procedure for calculating the induced voltage.

Note 3 to entry: For an alternating voltage u AB (t)= u ^ sin( ωt+φ ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGacaGaciaabmqaamaabaabaaGcbaGaamyDamaaBa aaleaacaqGbbGaaeOqaaqabaGccaGGOaGaamiDaiaacMcacqGH9aqp ceWG1bGbaKaaciGGZbGaaiyAaiaac6gadaqadaqaaiabeM8a3jaads hacqGHRaWkcqaHvpGzaiaawIcacaGLPaaaaaa@46C5@ with period T=2π/ω MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGacaGaaiaabmqaamaabaabaaGcbaGaamivaiabg2 da9iaaikdacaGIapGaai4laiabeM8a3baa@3C41@ , the total flux in circuit theory is always u ^ T/2π MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGacaGaaiaabmqaamaabaabaaGcbaGaeyizImQabm yDayaajaGaeyyXICTaamivaiaac+cacaaIYaGaaOiWdaaa@3E77@ .


Publication date:2021-03
Source:
Replaces:131-12-17:2013-08
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