Unterschiede

Hier werden die Unterschiede zwischen zwei Versionen angezeigt.

Link zu dieser Vergleichsansicht

Beide Seiten der vorigen Revision Vorhergehende Überarbeitung
Nächste Überarbeitung
Vorhergehende Überarbeitung
elektronische_schaltungstechnik:rechnung_signalzeitverlauf_umkehrintegrator [2020/05/21 18:49]
tfischer
elektronische_schaltungstechnik:rechnung_signalzeitverlauf_umkehrintegrator [2021/06/17 03:53] (aktuell)
tfischer
Zeile 1: Zeile 1:
-~~REVEAL theme=whide&fade=fade&controls=1&show_progress_bar=1&build_all_lists=1&show_image_borders=1&horizontal_slide_level=2&enlarge_vertical_slide_headers=0&show_slide_details=0&open_in_new_window=1&size=624x168~~+~~REVEAL theme=white&fade=fade&controls=1&show_progress_bar=1&build_all_lists=1&show_image_borders=1&horizontal_slide_level=2&enlarge_vertical_slide_headers=0&show_slide_details=0&open_in_new_window=1&size=1324x168~~
  
 ----> ---->
Zeile 6: Zeile 6:
  
 ----> ---->
-|$U_{A}(t_1) \ \ = -\quad  { 1 \over {\tau} } \quad \ \cdot \int_{t_0}^{t_1} U_E \ dt \  + \  U_{A}(t_0)$ +|$U_{A}(t_1) \ \ = -\quad  { 1 \over {\tau} } \quad \ \cdot \int_{t_0}^{t_1} \quad U_E \ dt \  + \  U_{A}(t_0)$  
-|$\qquad\qquad\qquad\qquad\qquad\quad$|+|$\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad$|$\qquad\qquad$|
 <---- <----
  
 ----> ---->
-|$U_{A}(t_1) \ \ =  -{ 1 \over {5 k\Omega \cdot 1 \mu F} }\cdot\int_{0}^{10ms} 1V \ dt + 0V$  |  +|$U_{A}(t_1) \ \ =  -{ 1 \over {5 k\Omega \cdot 1 \mu F} }\cdot\int_{0}^{10ms} 1V \ dt + 0V$  
-|$\qquad\qquad\qquad\qquad\qquad\quad$|+|$\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad$|$\qquad\qquad$|
 <---- <----
  
 ----> ---->
-|$U_{A}(t_1) \ \ =  -{ 1 \over {5 ms} } \quad \cdot 1V \ \cdot \int_{0}^{10ms} \ dt$  |  +|$U_{A}(t_1) \ \ =  - \quad { 1 \over {5 ms} } \quad \cdot 1V \ \cdot \int_{0}^{10ms} \ dt\quad\quad$  
-|$\qquad\qquad\qquad\qquad\qquad\quad$|+|$\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad$|$\qquad\qquad$|
 <---- <----
  
 ----> ---->
-|$U_{A}(t_1) \ \ = -{ 1 \over {5 ms} } \quad \cdot 1V \ \cdot [t]_{0}^{10ms} = -2V$  |  +|$U_{A}(t_1) \ \ = - \quad { 1 \over {5 ms} } \quad \cdot 1V \ \cdot [t]_{0}^{10ms} = \quad -2V$  
-|$\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad$|+|$\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad$|$\qquad\qquad$|
 <---- <----
  
Zeile 30: Zeile 30:
  
 ----> ---->
-|$U_{A}(t_1) \ \ = -\quad  { 1 \over {\tau} } \quad \ \cdot \int_{t_0}^{t_1} U_E \ dt \  + \  U_{A}(t_0)$ +|$U_{A}(t_1) \ \ = -\quad  { 1 \over {\tau} } \quad \ \cdot \int_{t_0}^{t_1} U_E \ dt \  + \  U_{A}(t_0)$  
-|$\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad$|+|$\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad$|$\qquad\qquad$|
 <---- <----
  
 ----> ---->
-|$U_{A}(t_1) \ \ = -{ 1 \over {5 ms} } \quad \cdot (-1V) \ \cdot [t]_{10ms}^{20ms} + 2V = 0V$  |  +|$U_{A}(t_1) \ \ = -{ 1 \over {5 ms} } \quad \cdot (-1V) \ \cdot [t]_{10ms}^{20ms} + 2V = 0V$  
-|$\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad$|+|$\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad$|$\qquad\qquad$|
 <---- <----
  
Zeile 44: Zeile 44:
  
 ----> ---->
-|$U_{A}(t_1) \ \ = -\quad  { 1 \over {\tau} } \quad \ \cdot \int_{t_0}^{t_1} U_E \ dt \  + \  U_{A}(t_0)$  |  +|$U_{A}(t_1) \ \ = -\quad  { 1 \over {\tau} } \quad \ \cdot \int_{t_0}^{t_1} U_E \ dt \  + \  U_{A}(t_0)$  
-|$\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad$|+|$\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad$|$\qquad\qquad$|
 <---- <----
  
 ----> ---->
-|$U_{A}(t_1) \ \ = -{ 1 \over {5 ms} } \quad \cdot (-2V) \ \cdot [t]_{10ms}^{20ms} + 0V = -2V$  |  +|$U_{A}(t_1) \ \ = -{ 1 \over {5 ms} } \quad \cdot (-2V) \ \cdot [t]_{10ms}^{20ms} + 0V = -2V$  
-|$\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad$|+|$\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad$|$\qquad\qquad$|
 <---- <----