ΨAB=∫tt0uAB(τ)dτ
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 uAB(t)=ˆusin(ωt+φ) with period T=2π/ω, the total flux in circuit theory is always ≤ˆu⋅T/2π.
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@
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@ .