      IEVref: 131-12-34 ID: Language: en Status: Standard    Term: inductance matrix Synonym1:  Synonym2:  Synonym3:  Symbol: L Definition: for a linear inductive m-terminal-pair element, matrix m × m used to express the linked fluxes Ψi (131-12-17) between the terminals of each pair, as a function of the electric currents ij at the first terminal of each pair: $\left(\begin{array}{c}{\Psi }_{1}\\ {\Psi }_{2}\\ ⋮\\ {\Psi }_{i}\\ ⋮\\ {\Psi }_{m}\end{array}\right)=\left(\begin{array}{cccccc}{L}_{11}& {L}_{12}& \cdots & {L}_{1j}& \cdots & {L}_{1m}\\ {L}_{21}& {L}_{22}& \cdots & {L}_{2j}& \cdots & {L}_{2m}\\ ⋮& ⋮& \ddots & ⋮& \ddots & ⋮\\ {L}_{i1}& {L}_{i2}& \cdots & {L}_{ij}& \cdots & {L}_{im}\\ ⋮& ⋮& \ddots & ⋮& \ddots & ⋮\\ {L}_{m1}& {L}_{m2}& \cdots & {L}_{mj}& \cdots & {L}_{mm}\end{array}\right)\cdot \left(\begin{array}{c}{i}_{1}\\ {i}_{2}\\ ⋮\\ {i}_{j}\\ ⋮\\ {i}_{m}\end{array}$ NOTE 1 – An inductance matrix is always symmetric and positive definite. NOTE 2 – An inductance matrix can also be determined for a set of electric circuit elements having inductive couplings between any pair of them. Publication date: 2008-09 Source: Replaces: Internal notes: 2015-08-20: Added hyphens to cross-refs, put in () and replaced them by URLs. Tagging of variables corrected to be italic. JGO 2017-06-02: Cleanup - Remove Attached Image 131-12-34en.gif 2017-08-25: [itex]( changed to [itex](. LMO CO remarks: TC/SC remarks: VT remarks: Domain1: Domain2: Domain3: Domain4: Domain5: