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IEVref:121-11-79ID:
Language:enStatus: Standard
Term: loop voltage
Synonym1: loop tension
Synonym2:
Synonym3:
Symbol: Ul
Um
Definition: scalar quantity equal to the time derivative of the line integral of the magnetic vector potential along a closed path C in which charge carriers can be displaced

U l = d dt C A dr = d dt S B e n dA = d dt Ψ MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGacaGaciaabmqaamaabaabaaGcbaGaamyvamaaBa aaleaacaqGSbaabeaakiabg2da9iabgkHiTmaalaaabaGaaiizaaqa aiaacsgacaWG0baaamaapubabaGaaCyqaiacycOGKbGaaCOCaaWcba Gaae4qaaqab0GaeSyeUhTaey4kIipakiabg2da9iabgkHiTmaalaaa baGaaiizaaqaaiaacsgacaWG0baaamaapebabaGaaCOqaiabgwSixl aahwgadaWgaaWcbaGaaeOBaaqabaGccaGGKbGaamyqaaWcbaGaae4u aaqab0Gaey4kIipakiabg2da9iabgkHiTmaalaaabaGaaiizaaqaai aacsgacaWG0baaaiabfI6azbaa@5A98@

where A is the magnetic vector potential at a point of the path C, dr is a vector line element of C, B is the magnetic flux density at a point on a surface S delimited by the curve C, endA is a vector surface element of S, Ψ is the total flux through this surface, and t is time

Note 1 to entry: The loop voltage is often wrongly denoted as the induced voltage; this is only true when no current is flowing through the path C.

Note 2 to entry: The coherent SI unit of the loop voltage is volt, V = s−3 m2 kg A−1.


Publication date:2021-03
Source:
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