الدوائر الكهربية رباعية الأقطاب

الدوائر الكهربية رباعية الأقطاب هي عبارة عن دوائر كهربائية تحتوي على مدخل و مخرج، أي تحتوي على أربعة أقطاب.^[١]

العلاقة بين المتغيرات

	$[𝐳]$	$[𝐲]$	$[𝐡]$	$[𝐠]$	$[𝐚]$	$[𝐛]$
$[𝐳]$	$[\begin{matrix} z_{11} & z_{12} \\ z_{21} & z_{22} \end{matrix}]$	$[\begin{matrix} \frac{y_{22}}{Δ [𝐲]} & \frac{- y_{12}}{Δ [𝐲]} \\ \frac{- y_{21}}{Δ [𝐲]} & \frac{y_{11}}{Δ [𝐲]} \end{matrix}]$	$[\begin{matrix} \frac{Δ [𝐡]}{h_{22}} & \frac{h_{12}}{h_{22}} \\ \frac{- h_{21}}{h_{22}} & \frac{1}{h_{22}} \end{matrix}]$	$[\begin{matrix} \frac{1}{g_{11}} & \frac{- g_{12}}{g_{11}} \\ \frac{g_{21}}{g_{11}} & \frac{Δ [𝐠]}{g_{11}} \end{matrix}]$	$[\begin{matrix} \frac{a_{11}}{a_{21}} & \frac{Δ [𝐚]}{a_{21}} \\ \frac{1}{a_{21}} & \frac{a_{22}}{a_{21}} \end{matrix}]$	$[\begin{matrix} \frac{- b_{22}}{b_{21}} & \frac{- 1}{b_{21}} \\ \frac{- Δ [𝐛]}{b_{21}} & \frac{- b_{11}}{b_{21}} \end{matrix}]$
$[𝐲]$	$[\begin{matrix} \frac{z_{22}}{Δ [𝐳]} & \frac{- z_{12}}{Δ [𝐳]} \\ \frac{- z_{21}}{Δ [𝐳]} & \frac{z_{11}}{Δ [𝐳]} \end{matrix}]$	$[\begin{matrix} y_{11} & y_{12} \\ y_{21} & y_{22} \end{matrix}]$	$[\begin{matrix} \frac{1}{h_{11}} & \frac{- h_{12}}{h_{11}} \\ \frac{h_{21}}{h_{11}} & \frac{Δ [𝐡]}{h_{11}} \end{matrix}]$	$[\begin{matrix} \frac{Δ [𝐠]}{g_{22}} & \frac{g_{12}}{g_{22}} \\ \frac{- g_{21}}{g_{22}} & \frac{1}{g_{22}} \end{matrix}]$	$[\begin{matrix} \frac{a_{22}}{a_{12}} & \frac{- Δ [𝐚]}{a_{12}} \\ \frac{- 1}{a_{12}} & \frac{a_{11}}{a_{12}} \end{matrix}]$	$[\begin{matrix} \frac{- b_{11}}{b_{12}} & \frac{1}{b_{12}} \\ \frac{Δ [𝐛]}{b_{12}} & \frac{- b_{22}}{b_{12}} \end{matrix}]$
$[𝐡]$	$[\begin{matrix} \frac{Δ [𝐳]}{z_{22}} & \frac{z_{12}}{z_{22}} \\ \frac{- z_{21}}{z_{22}} & \frac{1}{z_{22}} \end{matrix}]$	$[\begin{matrix} \frac{1}{y_{11}} & \frac{- y_{12}}{Y_{11}} \\ \frac{y_{21}}{y_{11}} & \frac{Δ [𝐲]}{y_{11}} \end{matrix}]$	$[\begin{matrix} h_{11} & h_{12} \\ h_{21} & h_{22} \end{matrix}]$	$[\begin{matrix} \frac{g_{22}}{Δ [𝐠]} & \frac{- g_{12}}{Δ [𝐠]} \\ \frac{- g_{21}}{Δ [𝐠]} & \frac{g_{11}}{Δ [𝐠]} \end{matrix}]$	$[\begin{matrix} \frac{a_{12}}{a_{22}} & \frac{Δ [𝐚]}{a_{22}} \\ \frac{- 1}{a_{22}} & \frac{a_{21}}{a_{22}} \end{matrix}]$	$[\begin{matrix} \frac{- b_{12}}{b_{11}} & \frac{1}{b_{11}} \\ \frac{- Δ [𝐛]}{b_{11}} & \frac{- b_{21}}{b_{11}} \end{matrix}]$
$[𝐠]$	$[\begin{matrix} \frac{1}{z_{11}} & \frac{- z_{12}}{z_{11}} \\ \frac{z_{21}}{z_{11}} & \frac{Δ [𝐳]}{z_{11}} \end{matrix}]$	$[\begin{matrix} \frac{Δ [𝐲]}{y_{22}} & \frac{y_{12}}{y_{22}} \\ \frac{- y_{21}}{y_{22}} & \frac{1}{y_{22}} \end{matrix}]$	$[\begin{matrix} \frac{h_{22}}{Δ [𝐡]} & \frac{- h_{12}}{Δ [𝐡]} \\ \frac{- h_{21}}{Δ [𝐡]} & \frac{h_{11}}{Δ [𝐡]} \end{matrix}]$	$[\begin{matrix} g_{11} & g_{12} \\ g_{21} & g_{22} \end{matrix}]$	$[\begin{matrix} \frac{a_{21}}{a_{11}} & \frac{- Δ [𝐚]}{a_{11}} \\ \frac{1}{a_{11}} & \frac{a_{12}}{a_{11}} \end{matrix}]$	$[\begin{matrix} \frac{- b_{21}}{b_{22}} & \frac{- 1}{b_{22}} \\ \frac{Δ [𝐛]}{b_{22}} & \frac{- b_{12}}{b_{22}} \end{matrix}]$
$[𝐚]$	$[\begin{matrix} \frac{z_{11}}{z_{21}} & \frac{Δ [𝐳]}{z_{21}} \\ \frac{1}{z_{21}} & \frac{z_{22}}{z_{21}} \end{matrix}]$	$[\begin{matrix} \frac{- y_{22}}{y_{21}} & \frac{- 1}{y_{21}} \\ \frac{- Δ [𝐲]}{y_{21}} & \frac{- y_{11}}{y_{21}} \end{matrix}]$	$[\begin{matrix} \frac{- Δ [𝐡]}{h_{21}} & \frac{- h_{11}}{h_{21}} \\ \frac{- h_{22}}{h_{21}} & \frac{- 1}{h_{21}} \end{matrix}]$	$[\begin{matrix} \frac{1}{g_{21}} & \frac{g_{22}}{g_{21}} \\ \frac{g_{11}}{g_{21}} & \frac{Δ [𝐠]}{g_{21}} \end{matrix}]$	$[\begin{matrix} a_{11} & a_{12} \\ a_{21} & a_{22} \end{matrix}]$	$[\begin{matrix} \frac{b_{22}}{Δ [𝐛]} & \frac{- b_{12}}{Δ [𝐛]} \\ \frac{- b_{21}}{Δ [𝐛]} & \frac{b_{11}}{Δ [𝐛]} \end{matrix}]$
$[𝐛]$	$[\begin{matrix} \frac{z_{22}}{z_{12}} & \frac{- Δ [𝐳]}{z_{12}} \\ \frac{- 1}{z_{12}} & \frac{z_{11}}{z_{12}} \end{matrix}]$	$[\begin{matrix} \frac{- y_{11}}{y_{12}} & \frac{1}{y_{12}} \\ \frac{Δ [𝐲]}{y_{12}} & \frac{- y_{22}}{y_{12}} \end{matrix}]$	$[\begin{matrix} \frac{1}{h_{12}} & \frac{- h_{11}}{h_{12}} \\ \frac{- h_{22}}{h_{12}} & \frac{Δ [𝐡]}{h_{12}} \end{matrix}]$	$[\begin{matrix} \frac{- Δ [𝐠]}{g_{12}} & \frac{g_{22}}{g_{12}} \\ \frac{g_{11}}{g_{12}} & \frac{- 1}{g_{12}} \end{matrix}]$	$[\begin{matrix} \frac{a_{22}}{Δ [𝐚]} & \frac{- a_{12}}{Δ [𝐚]} \\ \frac{- a_{21}}{Δ [𝐚]} & \frac{a_{11}}{Δ [𝐚]} \end{matrix}]$	$[\begin{matrix} b_{11} & b_{12} \\ b_{21} & b_{22} \end{matrix}]$