IEVref: 131-12-32 ID: Language: en Status: Standard Term: capacitance matrix Synonym1: Synonym2: Synonym3: Symbol: C Definition: for a linear capacitive n-terminal element, matrix m × m, where m = n − 1, used to express the electric charges qi (131-12-11) at m terminals as functions of the voltages (131-11-56) ujn between these terminals and the remaining nth terminal: $\left(\begin{array}{c}{q}_{1}\\ {q}_{2}\\ ⋮\\ {q}_{i}\\ ⋮\\ {q}_{m}\end{array}\right)=\left(\begin{array}{cccccc}{C}_{11}& {C}_{12}& \cdots & {C}_{1j}& \cdots & {C}_{1m}\\ {C}_{21}& {C}_{22}& \cdots & {C}_{2j}& \cdots & {C}_{2m}\\ ⋮& ⋮& \ddots & ⋮& \ddots & ⋮\\ {C}_{i1}& {C}_{i2}& \cdots & {C}_{ij}& \cdots & {C}_{im}\\ ⋮& ⋮& \ddots & ⋮& \ddots & ⋮\\ {C}_{m1}& {C}_{m2}& \cdots & {C}_{mj}& \cdots & {C}_{mm}\end{array}\right)\cdot \left(\begin{array}{c}{u}_{1n}\\ {u}_{2n}\\ ⋮\\ {u}_{jn}\\ ⋮\\ {u}_{mn}\end{array}\right)$ NOTE 1 – A capacitance matrix is always symmetric and positive definite. NOTE 2 – A capacitance matrix can also be determined for a set of electric circuit elements having capacitive 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 131-12-32en.gif 2017-08-25: [itex]( changed to [itex](. LMO CO remarks: TC/SC remarks: VT remarks: Domain1: Domain2: Domain3: Domain4: Domain5: