キルヒホッフの法則より以下が成立する。
\begin{align}
&I_{1} = I_{2} + I \tag{1}\\
&E = R_{1}I_{1}-jX_{C}I\tag{2}\\
&0 = (R_{2}+jX_{L})I_{2}+(-jX_{C})(-I)\tag{3}
\end{align}
(1)式を(2)式へ代入する。
\begin{eqnarray}
E = R_{1}(I_{2} + I)-jX_{C}I
= R_{1}I_{2} + (R_{1}-jX_{C})I\tag{4}
\end{eqnarray}
(4)式\(\times (R_{2}+jX_{L})\) - (3)式\(\times R_{1}\)
\begin{eqnarray}
E(R_{2}+jX_{L}) &=& (R_{1}-jX_{C})(R_{2}+jX_{L})I -
jR_{1}X_{C}I\nonumber\\
E(R_{2}+jX_{L}) &=& \left((R_{1}-jX_{C})(R_{2}+jX_{L})- jR_{1}X_{C}\right)I\nonumber\\
I&=& \frac{E(R_{2}+jX_{L})}{(R_{1}-jX_{C})(R_{2}+jX_{L})- jR_{1}X_{C}}\nonumber\\
\end{eqnarray}
%=image:/media/2014/01/28/139090249985013300.png:
