${\displaystyle {U}_{c}\mathrm {\colon } ={U}_{0}\cdot \left(1-{e}^{-{\frac {t}{R\cdot C}}}\right)}$ ${\displaystyle \tau \mathrm {\colon } =R\cdot C}$ Uo = Ladespannung Uc = Spannung am Kondensator τ(tau) = Zeitkonstante C = Kapazität R = Widerstand im Stromkreis t = Zeit, Dauer e = Eulersche Zahl (e = 2,718....) Kondensator gilt nach 5τ als geladen.

### Spannung am Kondensator in Abhängigkeit von der Zeit

 Beispiel: ${\displaystyle k\Omega \mathrm {\colon } =1000\Omega }$ , ${\displaystyle {\mathit {\mathrm {\mu } F}}\mathrm {\colon } =0.000001F}$ ,${\displaystyle {\mathit {nF}}\mathrm {\colon } =0.000000001F}$ ${\displaystyle {U}_{0}\mathrm {\colon } =10V}$, ${\displaystyle R\mathrm {\colon } =5k\Omega }$ , ${\displaystyle C\mathrm {\colon } =100{\mathit {\mathrm {\mu } F}}}$ ${\displaystyle t\mathrm {\colon } =0.1s\left(0\dots 30\right)}$ ${\displaystyle \tau \mathrm {\colon } =R\cdot C={\text{0.5000}}s}$ ,${\displaystyle 5\cdot \tau ={\text{2.500}}s}$ ${\displaystyle {U}_{c}\mathrm {\colon } ={U}_{0}\cdot \left(1-{e}^{-{\frac {t}{R\cdot C}}}\right)}$ ${\displaystyle {\mathit {plotxy}}\left(t,{U}_{c}\right)}$

### Strom durch den Kondensator in Abhängigkeit von der Zeit

 ${\displaystyle {i}_{C}\mathrm {\colon } ={\frac {{U}_{0}}{R}}\cdot {e}^{-{\frac {t}{R\cdot C}}}}$ ${\displaystyle {\mathit {plotxy}}\left(t,{i}_{C}\right)}$

### Zeitberechnungen

Z.B. Wann erreicht ${\displaystyle {U}_{c}\mathrm {\colon } =7V}$

Umwandeln der Formel

 ${\displaystyle {U}_{c}\mathrm {\colon } ={U}_{0}\cdot \left(1-{e}^{-{\frac {t}{R\cdot C}}}\right)}$

${\displaystyle t\mathrm {\colon } =-R\cdot C\cdot \ln \left(1-{\frac {{U}_{c}}{{U}_{0}}}\right)={\text{0.6020}}s}$

Z.B. Wann erreicht ${\displaystyle {i}_{c}\mathrm {\colon } =0.6{\mathit {mA}}}$

Umwandeln der Formel

 ${\displaystyle {i}_{C}\mathrm {\colon } ={\frac {{U}_{0}}{R}}\cdot {e}^{-{\frac {t}{R\cdot C}}}}$

${\displaystyle t\mathrm {\colon } =-\ln \left({\frac {{i}_{c}\cdot R}{{U}_{0}}}\right)\cdot R\cdot C={\text{0.6020}}s}$