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

Language: | en | Status: backup | |

Term: | induced voltage | ||

Synonym1: | induced tension [Preferred] | ||

Synonym2: | |||

Synonym3: | |||

Symbol: | U_{i}
| ||

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, Bv is the velocity with which that point is moving, is position vector, and rt is time
NOTE – The induced voltage is equal to the time derivative of the linked flux corresponding to the path, with the positive or negative signs according to the convention in IEC 60375. | ||

Publication date: | 2008-08 | ||

Source: | |||

Replaces: | |||

Internal notes: | 2012-07-20: Symbol defined in Amd 2 missing: <i>U</i><sub>i</sub> . HTML markup of v and r corrected: v is scalar and r a vector . JGO | ||

CO remarks: | |||

TC/SC remarks: | |||

VT remarks: | |||

Domain1: | |||

Domain2: | |||

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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

121-11-28en.gif |