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circuit_design:rechnung_spannungsfolger [2022/01/22 01:01] – tfischercircuit_design:rechnung_spannungsfolger [2025/12/13 21:53] (current) – mexleadmin
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-~~REVEAL~~+~~REVEAL theme=white&fade=convex&controls=1&show_progress_bar=1&build_all_lists=1&show_image_borders=0&horizontal_slide_level=2&enlarge_vertical_slide_headers=0&show_slide_details=0&open_in_new_window=1&size=900x500~~
  
  
  
 ----> ---->
-$I.\quad$ Analysis of the Currents+$\rm I.\quad$ Analysis of the Currents
 <---- <----
  
 ----> ---->
-|by (2+3)|$\color{blue}{I_p} = \color{blue}{I_m} = 0$  | +|by (2)+(3)|$\color{blue}{I_\rm p} = \color{blue}{I_\rm m} = 0$  | 
-|  | Therefore, $I_p$ and $I_m$ are defined |+|  | Therefore, $I_\rm p$ and $I_\rm m$ are defined |
 |$\quad\quad\quad$|$\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad$| |$\quad\quad\quad$|$\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad$|
 <---- <----
  
 ----> ---->
-|by (3) and (5)|$\color{blue}{I_o} = I_m = 0$  |  +|by (3)+(5)|$\color{blue}{I_\rm o} = I_\rm m = 0$  |  
-| | By this, $I_o$ is defined |+| | By this, $I_\rm o$ is defined |
 |$\quad\quad\quad$|$\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad$| |$\quad\quad\quad$|$\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad$|
 <---- <----
  
 ----> ---->
-$II.\quad$ Analysis of the Voltage Amplification+$\rm II.\quad$ Analysis of the Voltage Amplification
 <---- <----
  
 ---->> ---->>
-|by (0)  |$\color{blue}{A_V}=\frac{U_O}{U_I}$  |+|by (0)  |$\color{blue}{A_{\rm V}}=\frac{U_\rm O}{U_\rm I}$  |
 |  |  $\quad$| |  |  $\quad$|
 |$\quad\quad\quad$|$\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad$| |$\quad\quad\quad$|$\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad$|
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 ---->> ---->>
-| $\quad$  |$A_V=\frac{U_O}{\color{blue}{U_I}}$  |+| $\quad$  |$A_{\rm V}=\frac{U_\rm O}{\color{blue}{U_\rm I}}$  |
 |  |with (4)| |  |with (4)|
 |$\quad\quad\quad$|$\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad$| |$\quad\quad\quad$|$\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad$|
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 ---->> ---->>
-| $\quad$  |$A_V=\frac{U_O}{\color{blue}{U_O+U_D}}$  |+| $\quad$  |$A_{\rm V}=\frac{U_\rm O}{\color{blue}{U_{\rm O}+U_{\rm D}}}$  |
 |  | $\quad$  | |  | $\quad$  |
 |$\quad\quad\quad$|$\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad$| |$\quad\quad\quad$|$\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad$|
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 ---->> ---->>
-| $\quad$  |$A_V=\frac{\color{blue}{U_O}}{\color{blue}{U_O}+U_D}$  |+| $\quad$  |$A_{\rm V}=\frac{\color{blue}{U_\rm O}}{\color{blue}{U_\rm O}+U_\rm D}$  |
 |  |with (1) | |  |with (1) |
 |$\quad\quad\quad$|$\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad$| |$\quad\quad\quad$|$\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad$|
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 ---->> ---->>
-| $\quad$  |$A_V=\frac{\color{blue}{A_D\cdot U_D}}{\color{blue}{A_D\cdot U_D}+U_D}$  |+| $\quad$  |$A_{\rm V}=\frac{\color{blue}{A_{\rm D}\cdot U_{\rm D}}}{\color{blue}{A_{\rm D}\cdot U_{\rm D}}+U_{\rm D}}$  |
 |  | $\quad$ | |  | $\quad$ |
 |$\quad\quad\quad$|$\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad$| |$\quad\quad\quad$|$\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad$|
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 ---->> ---->>
-| $\quad$  |$A_V=\frac{A_D\cdot U_D}{A_D\cdot U_D + U_D}$  |+| $\quad$  |$A_{\rm V}=\frac{A_{\rm D}\cdot U_\rm D}{A_{\rm D}\cdot U_{\rm D} + U_\rm D}$  |
 |  | $\quad$ | |  | $\quad$ |
 |$\quad\quad\quad$|$\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad$| |$\quad\quad\quad$|$\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad$|
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 ---->> ---->>
-| $\quad$  |$A_V=\color{blue}{\frac{A_D\cdot U_D}{A_D\cdot U_D + U_D}}$  |+| $\quad$  |$A_{\rm V}=\color{blue}{\frac{A_{\rm D}\cdot U_\rm D}{A_{\rm D}\cdot U_{\rm D} + U_{\rm D}}}$  |
 |  |Expand with $\frac{1}{A_D\cdot U_D}$ | |  |Expand with $\frac{1}{A_D\cdot U_D}$ |
 |$\quad\quad\quad$|$\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad$| |$\quad\quad\quad$|$\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad$|
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 ---->> ---->>
-| $\quad$  |$A_V=\color{blue}{\frac{A_D\cdot U_D\cdot\frac{1}{A_D\cdot U_D}}{(A_D\cdot U_D + U_D)\cdot \frac{1}{A_D\cdot U_D}}}$  |+| $\quad$  |$A_{\rm V}=\color{blue}{\frac{A_{\rm D}\cdot U_{\rm D}\cdot\frac{1}{A_{\rm D}\cdot U_{\rm D}}}{(A_{\rm D}\cdot U_{\rm D} + U_{\rm D})\cdot \frac{1}{A_{\rm D}\cdot U_{\rm D}}}}$  |
 |  | $\quad$ | |  | $\quad$ |
 |$\quad\quad\quad$|$\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad$| |$\quad\quad\quad$|$\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad$|
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 ---->> ---->>
-| $\quad$  |$A_V=\color{blue}{\frac{1}{1 + \frac{1}{A_D}}}$  |+| $\quad$  |$A_{\rm V}=\color{blue}{\frac{1}{1 + \frac{1}{A_{\rm D}}}}$  |
 |  | $\quad$  | |  | $\quad$  |
 |$\quad\quad\quad$|$\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad$| |$\quad\quad\quad$|$\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad$|
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 ---->> ---->>
-| $\quad$  |$A_V=\frac{1}{1 + \frac{1}{A_D}}$  |+| $\quad$  |$A_{\rm V}=\frac{1}{1 + \frac{1}{A_{\rm D}}}$  |
 |  | $\quad$  | |  | $\quad$  |
 |$\quad\quad\quad$|$\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad$| |$\quad\quad\quad$|$\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad$|
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 ---->> ---->>
-| $\quad$  |$A_V=\frac{1}{1 + \color{blue}{\frac{1}{A_D}}}$  | +| $\quad$  |$A_{\rm V}=\frac{1}{1 + \color{blue}{\frac{1}{A_{\rm D}}}}$  | 
-|  |with $\frac{1}{A_D} \xrightarrow{A_D \rightarrow \infty} 0$  |+|  |with $\frac{1}{A_{\rm D}} \xrightarrow{A_{\rm D} \rightarrow \infty} 0$  |
 |$\quad\quad\quad$|$\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad$| |$\quad\quad\quad$|$\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad$|
 <<---- <<----
  
 ---->> ---->>
-| $\quad$  |$A_V=\frac{1}{1 + \color{blue}{0}}$  |+| $\quad$  |$A_{\rm V}=\frac{1}{1 + \color{blue}{0}}$  |
 |  | $\quad$  | |  | $\quad$  |
 |$\quad\quad\quad$|$\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad$| |$\quad\quad\quad$|$\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad$|
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 ---->> ---->>
-| $\quad$  |$A_V=\frac{1}{1}=1$  |+| $\quad$  |$A_{\rm V}=\frac{1}{1}=1$  |
 |  | $\quad$  | |  | $\quad$  |
 |$\quad\quad\quad$|$\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad$| |$\quad\quad\quad$|$\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad$|
 <<---- <<----