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IEVref:121-11-28ID:
Language:enStatus: Standard
Term: induced voltage
Synonym1: induced tension
[Preferred]
Synonym2:
Synonym3:
Symbol: Ui
Uind
Definition: scalar quantity equal to the line integral of a vector quantity along a path C from point a to point b in which charge carriers can be displaced

U i = r a ( C ) r b ( A t +vB )dr MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbbjxAHXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaeqabiGaciGacaqadmaadaqaaqaaaOqaaiaadwfadaWgaaWcbaGaaeyAaaqabaGccqGH9aqpdaWdXbqaamaabmaabaGaeyOeI0IaaGjbVpaalaaabaaccaGae8NaIyRaaGjbVJqadiaa+feaaeaacqWFciITcaaMi8UaaGjbVlaadshaaaGaey4kaSIaamODaiabgEna0kaa+jeaaiaawIcacaGLPaaacqGHflY1caqGKbGaamOCaaWcbaGaamOCamaaBaaameaacaqGHbaabeaalmaabmaabaGaae4qaaGaayjkaiaawMcaaaqaaiaadkhadaWgaaadbaGaaeOyaaqabaaaniabgUIiYdaaaa@574C@

where A and B are respectively a magnetic vector potential and the magnetic flux density at a point of the path C, v is the velocity with which that point is moving, r is position vector of the point, and t is time

Note 1 to entry: If the points a and b are at rest, i.e. their velocities are zero (va = vb = 0), the induced voltage is equal to the time derivative of the protoflux corresponding to the path C, with a positive or negative sign according to the convention in IEC 60375.

Note 2 to entry: The first term in the integrand results from Faraday’s law (see Maxwell equations) and the second one from the non-relativistic Lorentz transformation of the electromagnetic field tensor.


Publication date:2021-03
Source:
Replaces:121-11-28:2008-08
Internal notes:
CO remarks:
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