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IEVref: | 131-12-17 | ID: | |

Language: | en | Status: Standard | |

Term: | total flux, <in circuit theory> | ||

Synonym1: | linked flux, <in circuit theory> [Deprecated] | ||

Synonym2: | |||

Synonym3: | |||

Symbol: | Ψ_{AB}
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Definition: | time integral of the voltage u_{AB} between two terminals A and B of a two-terminal element or n-terminal element
${\Psi}_{\text{AB}}={\displaystyle {\int}_{{t}_{0}}^{t}{u}_{\text{AB}}(\tau )}\text{d}\tau $ where 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 ${u}_{\text{AB}}(t)=\widehat{u}\mathrm{sin}\left(\omega t+\phi \right)$ with period $T=2\text{\pi}/\omega $, the total flux in circuit theory is always $\le \widehat{u}\cdot T/2\text{\pi}$. | ||

Publication date: | 2021-03 | ||

Source: | |||

Replaces: | 131-12-17:2013-08 | ||

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${\Psi}_{\text{AB}}={\displaystyle {\int}_{{t}_{0}}^{t}{u}_{\text{AB}}(\tau )}\text{d}\tau $

where *t*_{0} 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 ${u}_{\text{AB}}(t)=\widehat{u}\mathrm{sin}\left(\omega t+\phi \right)$ with period $T=2\text{\pi}/\omega $, the total flux in circuit theory is always $\le \widehat{u}\cdot T/2\text{\pi}$.