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IEVref: | 121-11-24 | ID: | |

Language: | en | Status: Standard | |

Term: | protoflux | ||

Synonym1: | linked flux [Deprecated] | ||

Synonym2: | |||

Synonym3: | |||

Symbol: | Ψ_{p}
| ||

Definition: | scalar line integral of a magnetic vector potential along a curve C
A${\Psi}_{p}={\displaystyle \underset{\text{C}}{\int}A\cdot}\text{d}r$ where d Note 1 to entry: For a closed curve C, the protoflux is equal to the magnetic flux $\Phi ={\displaystyle \underset{\text{C}}{\oint}A\cdot}\text{\hspace{0.05em}}\text{d}r={\displaystyle \underset{\text{S}}{\int}B\cdot {e}_{\text{n}}}\text{\hspace{0.17em}}\text{d}A$ where e_{n}dA a vector surface element of S (see IEV 121-11-21).
Note 2 to entry: The coherent SI unit of protoflux is tesla, T = s | ||

Publication date: | 2021-03 | ||

Source: | |||

Replaces: | 121-11-24:1998-08 | ||

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CO remarks: | |||

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VT remarks: | |||

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${\Psi}_{p}={\displaystyle \underset{\text{C}}{\int}A\cdot}\text{d}r$

where d** r** is a vector line element

Note 1 to entry: For a closed curve C, the protoflux is equal to the magnetic flux *Φ* through an arbitrary surface S limited by the curve C

$\Phi ={\displaystyle \underset{\text{C}}{\oint}A\cdot}\text{\hspace{0.05em}}\text{d}r={\displaystyle \underset{\text{S}}{\int}B\cdot {e}_{\text{n}}}\text{\hspace{0.17em}}\text{d}A$

where ** B** is the magnetic flux density and

Note 2 to entry: The coherent SI unit of protoflux is tesla, T = s^{−2} kg A^{−1}.