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IEVref: | 121-11-28 | ID: | |

Language: | en | Status: Standard | |

Term: | induced voltage | ||

Synonym1: | induced tension [Preferred] | ||

Synonym2: | |||

Synonym3: | |||

Symbol: | U_{i}U_{ind}
| ||

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 $U}_{\text{i}}={\displaystyle \underset{{r}_{\text{a}}\left(\text{C}\right)}{\overset{{r}_{\text{b}}}{\int}}\left(-\text{\hspace{0.17em}}\frac{\partial \text{\hspace{0.17em}}A}{\partial \text{\hspace{0.05em}}\text{\hspace{0.17em}}t}+v\times B\right)\cdot \text{d}r$
where are respectively a magnetic vector potential and the magnetic flux density at a point of the path C, B is the velocity with which that point is moving, v is position vector of the point, and rt is time
Note 1 to entry: If the points a and b are at rest, i.e. their velocities are zero ( 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: | |||

TC/SC remarks: | |||

VT remarks: | |||

Domain1: | |||

Domain2: | |||

Domain3: | |||

Domain4: | |||

Domain5: |

$U}_{\text{i}}={\displaystyle \underset{{r}_{\text{a}}\left(\text{C}\right)}{\overset{{r}_{\text{b}}}{\int}}\left(-\text{\hspace{0.17em}}\frac{\partial \text{\hspace{0.17em}}A}{\partial \text{\hspace{0.05em}}\text{\hspace{0.17em}}t}+v\times B\right)\cdot \text{d}r$

where ** A** and

Note 1 to entry: If the points a and b are at rest, i.e. their velocities are zero (*v*_{a} = *v*_{b} = 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.