Find the charge on each capacitor

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Homework Help Overview

The problem involves a circuit with four capacitors and a battery supplying 18 V, where the task is to determine the charge on each capacitor. The original poster is attempting to apply concepts related to capacitors in series and parallel but is encountering difficulties in the calculations.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the configuration of the capacitors when switch S1 is closed, noting that some are in series and others in parallel. There are attempts to calculate effective capacitance and questions about how to proceed with the calculations from that point.

Discussion Status

Some participants have provided guidance on calculating effective capacitance and the relationships between charge and voltage for capacitors in series and parallel. There is an ongoing exploration of different configurations based on the state of the switches, but no consensus has been reached on the next steps for calculations.

Contextual Notes

The original poster references a diagram of the circuit, which is not included in the discussion. There may be constraints related to the specific setup of the circuit that are not fully articulated in the posts.

Gonger
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I'm trying to do this problem, its is posted below, where I have a circuit with four capacitors and I have to determine the charge on each one. I've been trying to follow an example from my textbook but that's not really helping me. I've been also trying to break it down with capacitors in parallel and in series, but I keep getting stuck. Anyone have any suggestions for any of this. There is a diagram of the circuit in the attachement. And this is the question:

In the figure, battery B supplies 18 V. Find the charge on each capacitor first when only switch S1 is closed. Take C1=1.3 µF, C2=2.3 µF, C3=3.6 µF, and C4=4.2 µF.

Thanks in advance.
 

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If s1 is closed the top and bottom two are in series and then you have two that are in parallel.

Edit: If s2 is closed first than you simply have the left set and right set in parallel and then the two equivalent are in series.
 
yeah I've got that all figured out, its calculating it from there that I am having problems with.
 
I would first calculate the effective capacitance of the circuit.

Since C1 and C3 are in series then their effective capacitance is [itex]C_{13} = \{ \frac {1}{C_1} + \frac {1}{C_3}\}^{-1}[/itex]

Like wise the effective capacitor between C2 and C4 is [itex]C_{24} = \{ \frac {1}{C_2} + \frac {1}{C_4} \}^{-1}[/itex]

Now you can use the definition of a capitance to find out the charge in [itex]C_{i}[/itex]

[itex]Q = C_{i} V[/itex]

Then you use the fact that capacitors in series have the same charge, Q. While capacitors in parallel have the same potential, V.
 
Last edited:

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