Area Circuit theory / Circuit elements and their characteristics

IEV ref 131-12-32

Symbol
C

en
capacitance matrix
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.

fr
matrice des capacités, f
pour un multipôle capacitif linéaire à n bornes, matrice m × m, où m = n − 1, servant à exprimer les charges électriques qi (131-12-11) en m bornes, en fonction des tensions électriques (131-11-56) ujn entre ces bornes et la borne restante notée n:

$\left(\begin{array}{c}{q}_{1}\\ {q}_{2}\\ ⋮\\ {q}_{i}\\ ⋮\\ {q}_{m}\end{array}\right)=\left(\begin{array}{cccccc}{C}_{11}& {C}_{12}& \cdots & {C}_{1j}& \cdots & {C}_{1m}\\ {C}_{21}& {C}_{22}& \cdots & {C}_{2j}& \cdots & {C}_{2m}\\ ⋮& ⋮& \ddots & ⋮& \ddots & ⋮\\ {C}_{i1}& {C}_{i2}& \cdots & {C}_{ij}& \cdots & {C}_{im}\\ ⋮& ⋮& \ddots & ⋮& \ddots & ⋮\\ {C}_{m1}& {C}_{m2}& \cdots & {C}_{mj}& \cdots & {C}_{mm}\end{array}\right)\cdot \left(\begin{array}{c}{u}_{1n}\\ {u}_{2n}\\ ⋮\\ {u}_{jn}\\ ⋮\\ {u}_{mn}\end{array}\right)$

Note 1 – Une matrice des capacités est toujours symétrique et définie positive.

Note 2 – Une matrice des capacités peut aussi être déterminée pour un ensemble d’éléments de circuit électrique comportant des couplages capacitifs entre chaque paire d’éléments.

de
Kapazitätsmatrix, f

es

ko
전기용량 행렬

ja
キャパシタンス行列

 no nb kapasitansmatrise nn kapasitansmatrise

pl
macierz pojemności

pt