Y-delta transform
Tags: #theorem
Y-delta transform
Given an electrical network which contains something that looks like a
\usepackage{circuitikz}
\begin{document}
\begin{circuitikz}
% --- Y (star) network ---
\draw
(-4,0) node[left]{$A$} to[R=$R_A$] (-2,0)
(-2,0) to[R=$R_B$] (-1.2,1.4) node[above]{$B$}
(-2,0) to[R=$R_C$] (-1.2,-1.4) node[below]{$C$};
\node at (-2,-2.2) {Y (star)};
% --- Delta network ---
\draw
(2,0) node[left]{$A$}
to[R=$R_{AB}$] (4,1.5) node[above]{$B$}
to[R=$R_{BC}$] (4,-1.5) node[below]{$C$}
to[R=$R_{CA}$] (2,0);
\node at (3,-2.2) {$\Delta$ (delta)};
% Arrow indicating equivalence
\draw[->, thick] (-0.2,0) -- (1.2,0) node[midway, above] {equivalent};
\end{circuitikz}
\end{document}