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So I am new to physics and I am trying to solve the total resistance of this circuit. My question is: because there is a battery in the same branch as R2 and a Capacitor in the same branch as R3, when calculating the Total resistance all the resistance should be R1//R2//R3, because there is no way to simplify the resistors?

enter image description here

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    $\begingroup$ Where would you place the "total resistance" in the circuit? $\endgroup$
    – Bob D
    Commented Aug 30, 2023 at 13:34
  • $\begingroup$ The "total resistance" of a circuit is meaningless. Do you perhaps want to calculate the current? $\endgroup$
    – John Doty
    Commented Aug 30, 2023 at 13:35
  • $\begingroup$ No, I want to calculate the time constant using R * C, for that I need the total resistance. And I think there is not a way to place the "total resistance" without really changing the circuit $\endgroup$ Commented Aug 30, 2023 at 13:37
  • $\begingroup$ The usual way to say this is that you want the "dynamic resistance" of part of the circuit, in this case the part without the capacitor. $\endgroup$
    – John Doty
    Commented Aug 30, 2023 at 13:51
  • $\begingroup$ So one must assume that the capacitor is not there to calculate the dynamic resistance? How is that done? $\endgroup$ Commented Aug 30, 2023 at 13:54

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Thévenin's theorem can be applied here. Essentially, in the equivalent circuit for calculation of time constant, short-circuit the EMF sources and treat the two ends of the capacitor as the entry and exit point of current. In your case:

RC

Now calculate the equivalent resistance between A and B.

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