RC circuits multpile R's and C's

In summary, the conversation discusses finding the general RC equation for a circuit and how to solve it for the charge on the capacitor as a function of time. The equation is given as ##Q(t)=3Cε(1-e^{\frac {-t} {RC}})##, with the reminder to consider the total charge supplied by the battery.
  • #1
Arman777
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I have a circuit which it looks like this.
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We need to write the general RC equation.Can I reduce this circuit to like ##R_{eq}## and ##C_{eq}## then solve it ?

This is not a homework question.Just need theoretical approach
 
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  • #2
Arman777 said:
We need to write the general RC equation.
What do you want to know? The current, the transient equation or what? You have indicated a "Q" - do you want to know the charge on the capacitor, and at what point in time? Come on - be specific!
 
  • #3
Like in simple one its ##ε=R\frac {dQ} {dt}+\frac {Q} {C}##
Svein said:
What do you want to know? The current, the transient equation or what? You have indicated a "Q" - do you want to know the charge on the capacitor, and at what point in time? Come on - be specific!
 
  • #4
Arman777 said:
Like in simple one its ##ε=R\frac {dQ} {dt}+\frac {Q} {C}##
Right.
If you are only interested in finding 'Q' as a function of time, you can neglect the other two RC branches and go with this equation.
 
  • #5
cnh1995 said:
Right.
If you are only interested in finding 'Q' as a function of time, you can neglect the other two RC branches and go with this equation.

But we need general equation...I found like ##Q(t)=3Cε(1-e^{\frac {-t} {RC}})##
 
  • #6
Arman777 said:
But we need general equation...I found like ##Q(t)=3Cε(1-e^{\frac {-t} {RC}})##
That's correct, provided Q is the total charge supplied by the battery.
 
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  • #7
Thanks
 

1. How do you calculate the total resistance in an RC circuit with multiple resistors and capacitors?

The total resistance in an RC circuit with multiple resistors and capacitors is calculated by adding the individual resistances and the reciprocal of the sum of the individual capacitances. This can be expressed as Rtotal = R1 + R2 + ... + 1/(C1 + C2 + ...).

2. What is the time constant of an RC circuit with multiple resistors and capacitors?

The time constant of an RC circuit with multiple resistors and capacitors is the product of the total resistance and the total capacitance. This can be expressed as τ = Rtotal x Ctotal.

3. How do you calculate the charge on a capacitor in an RC circuit with multiple resistors and capacitors?

The charge on a capacitor in an RC circuit with multiple resistors and capacitors can be calculated by multiplying the capacitance by the voltage across the capacitor. This can be expressed as Q = C x V.

4. What is the relationship between the current and voltage in an RC circuit with multiple resistors and capacitors?

The relationship between the current and voltage in an RC circuit with multiple resistors and capacitors is given by Ohm's Law, which states that the current is equal to the voltage divided by the total resistance. This can be expressed as I = V/Rtotal.

5. How does the addition of resistors and capacitors in an RC circuit affect the time constant and charging/discharging behavior?

The addition of resistors and capacitors in an RC circuit will increase the time constant, resulting in a longer charging and discharging time for the capacitor. It will also affect the rate at which the capacitor charges and discharges, as well as the overall magnitude of the current and voltage in the circuit.

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