IEVref: 121-11-28 ID: Language: en Status: Standard Term: induced voltage Synonym1: induced tension [Preferred] Synonym2: Synonym3: Symbol: UiUind 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 ${U}_{\text{i}}=\underset{{r}_{\text{a}}\left(\text{C}\right)}{\overset{{r}_{\text{b}}}{\int }}\left(-\text{\hspace{0.17em}}\frac{\partial \text{\hspace{0.17em}}A}{\partial \text{ }\text{\hspace{0.17em}}t}+v×B\right)\cdot \text{d}r$ where A and B are respectively a magnetic vector potential and the magnetic flux density at a point of the path C, v is the velocity with which that point is moving, r is position vector of the point, and t is time Note 1 to entry: If the points a and b are at rest, i.e. their velocities are zero (va = vb = 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. 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: