Unterschiede
Hier werden die Unterschiede zwischen zwei Versionen angezeigt.
Nächste Überarbeitung | Vorhergehende Überarbeitung | ||
elektronische_schaltungstechnik:rechnung_signalzeitverlauf_umkehrintegrator [2020/05/21 18:32] – angelegt tfischer | elektronische_schaltungstechnik:rechnung_signalzeitverlauf_umkehrintegrator [2021/06/17 03:53] (aktuell) – tfischer | ||
---|---|---|---|
Zeile 1: | Zeile 1: | ||
- | ~~REVEAL theme=whide& | + | ~~REVEAL theme=white& |
----> | ----> | ||
Zeile 6: | Zeile 6: | ||
----> | ----> | ||
- | |$U_{A}(t_1) \ \ = \ | + | |$U_{A}(t_1) \ \ = -\quad { 1 \over {\tau} } \quad \ \cdot \int_{t_0}^{t_1} |
- | |$\qquad\qquad\qquad\qquad\qquad\quad$|$\qquad\qquad\qquad\qquad\qquad$|$\qquad\qquad\qquad\qquad\qquad\qquad$| | + | |$\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad$|$\qquad\qquad$| |
<---- | <---- | ||
----> | ----> | ||
- | |$U_{A}(t_1) \ \ = -{ 1 \over {5 k\Omega \cdot 1 \mu F} }\cdot\int_{0}^{10ms} 1V \ dt + 0V$ | | | + | |$U_{A}(t_1) \ \ = -{ 1 \over {5 k\Omega \cdot 1 \mu F} }\cdot\int_{0}^{10ms} 1V \ dt + 0V$ | | |
- | |$\qquad\qquad\qquad\qquad\qquad\quad$|$\qquad\qquad\qquad\qquad\qquad$|$\qquad\qquad\qquad\qquad\qquad\qquad$| | + | |$\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad$|$\qquad\qquad$| |
<---- | <---- | ||
----> | ----> | ||
- | |$U_{A}(t_1) \ \ = -{ 1 \over {5 ms} } \quad \cdot 1V \ \cdot \int_{0}^{10ms} \ dt$ | | | + | |$U_{A}(t_1) \ \ = - \quad { 1 \over {5 ms} } \quad \cdot 1V \ \cdot \int_{0}^{10ms} \ dt\quad\quad$ | | |
- | |$\qquad\qquad\qquad\qquad\qquad\quad$|$\qquad\qquad\qquad\qquad\qquad$|$\qquad\qquad\qquad\qquad\qquad\qquad$| | + | |$\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad$|$\qquad\qquad$| |
<---- | <---- | ||
----> | ----> | ||
- | |$U_{A}(t_1) \ \ = \ -{ 1 \over {5 ms} }\ 1V \ [t]_{0}^{10ms} = -2V$ | | | + | |$U_{A}(t_1) \ \ = - \quad { 1 \over {5 ms} } \quad \cdot 1V \ \cdot [t]_{0}^{10ms} = \quad -2V$ | | |
- | |$\qquad\qquad\qquad\qquad\qquad\qquad\qquad$|$\qquad\qquad\qquad\qquad\qquad$|$\qquad\qquad\qquad\qquad\qquad\qquad\qquad$| | + | |$\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad$|$\qquad\qquad$| |
+ | <---- | ||
+ | |||
+ | ----> | ||
+ | $I.\quad$ Am Punkt $t_2$ | ||
+ | <---- | ||
+ | |||
+ | ----> | ||
+ | |$U_{A}(t_1) \ \ = -\quad | ||
+ | |$\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$ | | | ||
+ | |$\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad$|$\qquad\qquad$| | ||
+ | <---- | ||
+ | |||
+ | ----> | ||
+ | $I.\quad$ Am Punkt $t_3$ | ||
+ | <---- | ||
+ | |||
+ | ----> | ||
+ | |$U_{A}(t_1) \ \ = -\quad | ||
+ | |$\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$ | | | ||
+ | |$\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad$|$\qquad\qquad$| | ||
<---- | <---- | ||