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Formula Charging capacitor Capacitor voltage    Source voltage    Capacitance    Resistance    Time

Formula
Formula: Charging capacitor
RC Circuit - charging capacitor
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Capacitor voltage

Unit
Voltage across the capacitor (e.g. between the two capacitor plates). When charging the capacitor, this voltage increases exponentially with time \(t\). At the end of the charging process it reaches the value given by the source voltage \( U_0 \).

Source voltage

Unit
Source voltage is the constant voltage applied to the capacitor.

Capacitance

Unit
Capacitance is a characteristic quantity of the capacitor and tells how many charges must be brought onto the capacitor to charge the capacitor to the voltage \( 1 \, \text{V} \).

Resistance

Unit
Resistor with the value \( R \) connected in series with the capacitor. The resistor has an influence on how fast the capacitor can charge.

Time

Unit
After the source voltage \(U_0\) is applied, the capacitor starts to charge. The more time \(t\) has elapsed, the closer the capacitor voltage \( U_{\text C}(t) \) is to the value of the source voltage \(U_0\).