Ch10 Sinusoidal Steady-State Analysis

Introduction

![image-20230510083745848](C:\Users\Steven Meng\AppData\Roaming\Typora\typora-user-images\image-20230510083745848.png)

![image-20230510083945935](C:\Users\Steven Meng\AppData\Roaming\Typora\typora-user-images\image-20230510083945935.png)

![image-20230510084141290](C:\Users\Steven Meng\AppData\Roaming\Typora\typora-user-images\image-20230510084141290.png)

$30\sin2t$ is taken as reference.

![image-20230510084232532](C:\Users\Steven Meng\AppData\Roaming\Typora\typora-user-images\image-20230510084232532.png)

$\bold V_x=\bold V_1$ .

30\ang 0^\circ =\frac{\bold V_1}{2}+\frac{\bold V_1-\bold V_2}{-j2.5}\\ \frac{\bold V_1-\bold V_2}{-j2.5}=\frac{\bold V_2}{j4}+\frac{\bold V_2-3\bold V_1}{4}

![image-20230510085903708](C:\Users\Steven Meng\AppData\Roaming\Typora\typora-user-images\image-20230510085903708.png)

j4\bold I_2+j_2 \bold I_3+(-j2.5)(\bold I_1-\bold I_2)=0\\ -j2.5(\bold I_1-\bold I_2)+10\bold I_1-20\ang 0^\circ=0

![image-20230510090522240](C:\Users\Steven Meng\AppData\Roaming\Typora\typora-user-images\image-20230510090522240.png)

![image-20230510090650557](C:\Users\Steven Meng\AppData\Roaming\Typora\typora-user-images\image-20230510090650557.png)

![image-20230510091659516](C:\Users\Steven Meng\AppData\Roaming\Typora\typora-user-images\image-20230510091659516.png)

Turn off voltage source.

\bold I_{x1}=\frac