Alexander Fufaev

Formula: Series Circuit of Capacitors

Voltages - Series connection of two capacitors

Voltage

Unit
The total voltage (i.e. the applied source voltage) of capacitors connected in series is the sum of the individual voltages.

The following voltages are across the three capacitors at the time \(t\): \(U_1 = 200 \, \mathrm{V} \), \(U_2 = 50 \, \mathrm{V} \) and \(U_3 = 100 \, \mathrm{V} \). Then the total voltage is their sum: \begin{align} U(t) &~=~ 200 \, \mathrm{V} ~+~ 50 \, \mathrm{V} ~+~ 100 \, \mathrm{V} \\\\ &~=~ 350 \, \mathrm{V} \end{align}

Individual voltages

Unit
  • \(U_1\) is the voltage at the first capacitor.
  • \(U_2\) is the voltage at the second capacitor.
  • \(U_3\) is the voltage at the third capacitor.
  • And so on...