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IEVref: | 121-11-79 | ID: | |

Language: | en | Status: Standard | |

Term: | loop voltage | ||

Synonym1: | loop tension | ||

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Synonym3: | |||

Symbol: | U_{l}U_{m}
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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
${U}_{\text{l}}=-\frac{\text{d}}{\text{d}t}{\displaystyle {\oint}_{\text{C}}A\text{d}r}=-\frac{\text{d}}{\text{d}t}{\displaystyle {\int}_{\text{S}}B\cdot {e}_{\text{n}}\text{d}A}=-\frac{\text{d}}{\text{d}t}\Psi$ where is a vector line element of C, r is the magnetic flux density at a point on a surface S delimited by the curve C, Be_{n}dA 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 | ||

Publication date: | 2021-03 | ||

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${U}_{\text{l}}=-\frac{\text{d}}{\text{d}t}{\displaystyle {\oint}_{\text{C}}A\text{d}r}=-\frac{\text{d}}{\text{d}t}{\displaystyle {\int}_{\text{S}}B\cdot {e}_{\text{n}}\text{d}A}=-\frac{\text{d}}{\text{d}t}\Psi$

where ** A** is the magnetic vector potential at a point of the path C, d

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} m^{2} kg A^{−1}.