Formelsammlung Gleichstromtechnik

Ohm’sches Gesetz

Spannung U in Volt (V)
U=I \cdot R

Widerstand R in Ohm (Ω)
R=\frac{U}{I}

Strom I in Ampere (A)
I=\frac{U}{R}


Ladung

Ladung Q in Coulomb (C) oder Ampere-Sekunden (As)
Q=I \cdot t


Energie, Arbeit, Leistung

Energie/Arbeit W in Watt-Sekunden (Ws)
W=U \cdot Q,\quad W=U \cdot I \cdot t,\quad W=P \cdot t

Leistung P in Watt (W)
P=U \cdot I,\quad P=R \cdot I^2,\quad P=\frac{U^2}{R},\quad P=\frac{W}{t}


Kondensator

Laden
u_C=U \cdot (1-e^{-\frac{t}{\tau}})
i=-\frac{U}{R} \cdot e^{-\frac{t}{\tau}}
t=- \tau \cdot \ln (1-\frac{u_C}{U}), \quad t=- \tau \cdot \ln \frac{-i \cdot R}{U}

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