Questão 3138138

\(\left[_{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{-1}{R_2}\ \ \ \ \ \ \ \ \ \left[\left(\frac{1}{R_2}+\frac{1}{R_3}\right)+j\ \frac{1}{X_C}\right]}^{\left[\left(\frac{1}{R_1}+\frac{1}{R_2}\right)-\ j\ \frac{1}{X_L}\right]\ \ \ \ \ \ \ \ \ \ \frac{-1}{R_2}}\right]\) \(\begin{bmatrix} \dot V_1 \\ \dot V_2 \end{bmatrix}\) = \(\begin{bmatrix}\frac{ \dot V_a}{R_1} \\ \frac{\dot V_b}{R_3} \end{bmatrix}\)

\(\left[_{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{-1}{R_2}\ \ \ \ \ \ \ \ \ \left[\left(\frac{1}{R_2}+\frac{1}{R_3}\right)-j\ \frac{1}{X_C}\right]}^{\left[\left(\frac{1}{R_1}+\frac{1}{R_2}\right)+\ j\ \frac{1}{X_L}\right]\ \ \ \ \ \ \ \ \ \ \frac{-1}{R_2}}\right]\) \(\begin{bmatrix} \dot V_1 \\ \dot V_2 \\ \end{bmatrix}\) = \(\begin{bmatrix} \frac{\dot V_a} {R_1} \\ \frac{\dot V_b} {R_3}\\ \end{bmatrix}\)

\(\left[_{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ -R_2\ \ \ \ \ \ \ \ \ \left[\left(R_2+R_3\right)-j\ X_C\right]}^{\left[\left(R_1+R_2\right)+\ j\ X_L\right]\ \ \ \ \ \ \ \ \ \ -R_2}\right]\) \(\begin{bmatrix} \dot V_1 \\ \dot V_2 \\ \end{bmatrix}\) = \(\begin{bmatrix} \dot V_a \\ \dot V_b\\ \end{bmatrix}\)

\(\left[_{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ -R_2\ \ \ \ \ \ \ \ \ \left[\left(R_2+R_3\right)+j\ X_C\right]}^{\left[\left(R_1+R_2\right)-\ j\ X_L\right]\ \ \ \ \ \ \ \ \ \ -R_2}\right]\) \(\begin{bmatrix} \dot V_1 \\ \dot V_2 \\ \end{bmatrix}\) = \(\begin{bmatrix} \dot V_a \\ \dot V_b \\ \end{bmatrix}\)