How do you calculate this circuit?

circuit diagram

I would like to calculate both the voltage, current and charge progression of those three components seen as one part as well as their individual voltages, currents and charges.

The values given in the circuit diagram are just placeholders but for completeness let us assume the total voltage 10VDC.

I would like to understand the mathematics behind such a calculation and not only know the solution to this specific example.

Thank you in advance

Edit: I want to analyse the circuit assuming the capacitors are initially uncharged. It was pointed out to me that that is a transient analysis.

  • \$\begingroup\$ Well you are going to get infinities at t = 0 so there's a clue. \$\endgroup\$
    – Andy aka
    Commented Feb 23, 2020 at 20:43
  • \$\begingroup\$ You need to tell us how the voltage source behaves as a function of time. Does it supply a dc voltage? Does the voltage change suddenly from one value to another? Does the voltage source provide an ac voltage at a fixed frequency and constant amplitude? \$\endgroup\$ Commented Feb 23, 2020 at 21:59
  • \$\begingroup\$ You are right i forgot that. It's 10 volt dc. I edited the question for clarification too. @ElliotAlderson \$\endgroup\$
    – hanslhansl
    Commented Feb 24, 2020 at 13:12
  • \$\begingroup\$ Do you know how much current flows through a capacitor if a constant dc voltage is applied? That's the key to solving this problem. \$\endgroup\$ Commented Feb 24, 2020 at 15:04
  • \$\begingroup\$ If you are talking about this formula I(t)=V_0/Re^(-t(RC)) yes i do. I also know how it is applied to 2 caps in series. It's the parallel connection combined with the cap in series that i don't know about. @ElliotAlderson \$\endgroup\$
    – hanslhansl
    Commented Feb 24, 2020 at 16:38

1 Answer 1


Actually it all depends on Kirchoff's Voltage Law. It indicates all voltages sum through a closed loop must equal to zero. So we start dividing voltages to branches. I suggest you to take a look at both Kirchoff's Current Law and Kirchoff's Voltage Law.


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