(Untitled) (Untitled)(Untitled) (Untitled)(Untitled) (Untitled)(Untitled) (Untitled)(Untitled)Examples




IEVref:121-11-24ID:
Language:enStatus: Standard
Term: linked flux
Synonym1:
Synonym2:
Synonym3:
Symbol: Ψ
Definition: scalar line integral of a magnetic vector potential A along a curve C:

Ψ= C Adr MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbbjxAHXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeqabiGaciGacaqadmaadaqaaqaaaOqaaGGaciab=H6azjabg2 da9maapefabaacbmGaa4xqaiabgwSixlaabsgacaGFYbaaleaacaqG dbaabeqdcqGHRiI8aaaa@3FE9@

where dr is the vector line element

NOTE 1 – For a closed curve C, the linked flux is equal to the magnetic flux through any surface S bounded by the curve:

C Adr= S B e n dA MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbbjxAHXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaeqabiGaciGacaqadmaadaqaaqaaaOqaamaapufabaacbmGaa8xqaiabgwSixJqaaiaa+rgacaWFYbGaaGjbVlabg2da9iaaysW7aSqaaiaaboeaaeqaniablgH7rlabgUIiYdGcdaWdrbqaaiaa=jeacqGHflY1caWFLbWaaSbaaSqaaiaa+5gaaeqaaaqaaiaa+nfaaeqaniabgUIiYdGccaGFKbGaamyqaaaa@4DB6@

where B is the magnetic flux density and endA the vector surface element.

NOTE 2 – For a coil with N turns, the linked flux is approximately equal to where Φ is the magnetic flux through any surface bounded by one turn.


Publication date:1998-08
Source:
Replaces:
Internal notes:2017-06-02: Cleanup - Remove Attached Image 121-11-241.gif

2017-06-02: Cleanup - Remove Attached Image 121-11-242.gif
CO remarks:
TC/SC remarks:
VT remarks:
Domain1:
Domain2:
Domain3:
Domain4:
Domain5: