# Illustration Voltage-Time Graph - charging capacitor

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A capacitor with capacitance $$C$$ and a serially connected resistor $$R$$ is charged to voltage $$U_0$$. The time-dependent voltage $$U_{\text C}(t)$$ across the capacitor during the charging follows the exponential curve:$U_{\text C}(t) ~=~ U_0 \, \left(1 - e^{-\frac{t}{R\,C}}\right)$

As $$t$$ goes to infinity, the voltage $$U_{\text C}(t)$$ approaches the specified value of the source voltage $$U_0$$.