~~REVEAL~~ ----> $I.\quad$ Analysis of the Currents <---- ----> |by (2)+(3)|$\color{blue}{I_p} = \color{blue}{I_m} = 0$ | | | Therefore, $I_p$ and $I_m$ are defined | |$\quad\quad\quad$|$\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad$| <---- ----> |by (3)+(5)|$\color{blue}{I_o} = I_m = 0$ | | | By this, $I_o$ is defined | |$\quad\quad\quad$|$\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad$| <---- ----> $II.\quad$ Analysis of the Voltage Amplification <---- ---->> |by (0) |$\color{blue}{A_V}=\frac{U_O}{U_I}$ | | | $\quad$| |$\quad\quad\quad$|$\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad$| <<---- ---->> | $\quad$ |$A_V=\frac{U_O}{\color{blue}{U_I}}$ | | |with (4)| |$\quad\quad\quad$|$\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad$| <<---- ---->> | $\quad$ |$A_V=\frac{U_O}{\color{blue}{U_O+U_D}}$ | | | $\quad$ | |$\quad\quad\quad$|$\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad$| <<---- ---->> | $\quad$ |$A_V=\frac{\color{blue}{U_O}}{\color{blue}{U_O}+U_D}$ | | |with (1) | |$\quad\quad\quad$|$\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad$| <<---- ---->> | $\quad$ |$A_V=\frac{\color{blue}{A_D\cdot U_D}}{\color{blue}{A_D\cdot U_D}+U_D}$ | | | $\quad$ | |$\quad\quad\quad$|$\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad$| <<---- ---->> | $\quad$ |$A_V=\frac{A_D\cdot U_D}{A_D\cdot U_D + U_D}$ | | | $\quad$ | |$\quad\quad\quad$|$\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad$| <<---- ---->> | $\quad$ |$A_V=\color{blue}{\frac{A_D\cdot U_D}{A_D\cdot U_D + U_D}}$ | | |Expand with $\frac{1}{A_D\cdot U_D}$ | |$\quad\quad\quad$|$\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad$| <<---- ---->> | $\quad$ |$A_V=\color{blue}{\frac{A_D\cdot U_D\cdot\frac{1}{A_D\cdot U_D}}{(A_D\cdot U_D + U_D)\cdot \frac{1}{A_D\cdot U_D}}}$ | | | $\quad$ | |$\quad\quad\quad$|$\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad$| <<---- ---->> | $\quad$ |$A_V=\color{blue}{\frac{1}{1 + \frac{1}{A_D}}}$ | | | $\quad$ | |$\quad\quad\quad$|$\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad$| <<---- ---->> | $\quad$ |$A_V=\frac{1}{1 + \frac{1}{A_D}}$ | | | $\quad$ | |$\quad\quad\quad$|$\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad$| <<---- ---->> | $\quad$ |$A_V=\frac{1}{1 + \color{blue}{\frac{1}{A_D}}}$ | | |with $\frac{1}{A_D} \xrightarrow{A_D \rightarrow \infty} 0$ | |$\quad\quad\quad$|$\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad$| <<---- ---->> | $\quad$ |$A_V=\frac{1}{1 + \color{blue}{0}}$ | | | $\quad$ | |$\quad\quad\quad$|$\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad$| <<---- ---->> | $\quad$ |$A_V=\frac{1}{1}=1$ | | | $\quad$ | |$\quad\quad\quad$|$\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad$| <<----