Dies ist eine alte Version des Dokuments!


$I.\quad$ 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$$\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad$
by (3) and (5)$\color{blue}{I_o} = I_m = 0$
By this, $I_o$ is defined
$\quad\quad\quad$$\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$