How Do You Calculate Q3 in a Complex Capacitor Network?

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Homework Help Overview

The discussion revolves around a capacitor network involving a battery and multiple capacitors, where some quantities are known and others are not. The original poster seeks to determine the charge Q3 on capacitor C3, given the initial conditions of the circuit.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the relationships between charges in series and parallel capacitor configurations. The original poster attempts to calculate Q3 using known values and relationships, while others suggest methods to relate the charges and voltages across the capacitors.

Discussion Status

Some participants have provided guidance on how to approach the problem by relating the charges on the capacitors. There is an ongoing exploration of how to identify series and parallel configurations in complex circuits, with multiple interpretations being considered.

Contextual Notes

Participants are navigating the challenge of determining capacitor configurations in a circuit that may not be straightforward. The original poster notes a lack of information regarding the capacitance of C3, which is central to solving for Q3.

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Capacitor Network (Please help!)

Homework Statement



In the circuit below, consisting of a battery and several capacitors, some quantities are known and some are not. The capacitors were completely uncharged before the battery was attached and we are considering the static situation.

Circuit: http://img690.imageshack.us/i/showmepl.gif/
2nq5sw9.gif


Q1= 8.5 × 10^-6 C
C1= 7.6 × 10^-6 F
C2= 2 × 10^-6 F
Energy stored on C2 is W2= 4.2 × 10^ -6 J

What is the charge Q3 on capacitor C3 ?

The Attempt at a Solution



I've figured out that V1 = 1.12, V2 and V3 = 2.05...but I have no idea how to find Q3 because we don't know C3
 
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In the series combination, Charges are the same in all the capacitors.So the charge on C1 is the same as the charge on the parallel combination of C2 and C3. Hence

Q2 = C1V2 and Q2 + Q3 = Q1.

Now find Q3.
 


rl.bhat said:
In the series combination, Charges are the same in all the capacitors.So the charge on C1 is the same as the charge on the parallel combination of C2 and C3. Hence

Q2 = C1V2 and Q2 + Q3 = Q1.

Now find Q3.

Thank you man!

I forgot to add the parallel C2 and C3 and turn it into one circuit, then assume that they are in series with C1...I really appreciate the help
 


How to know whether capacitors are in series or parallel in a circuit which contain many capacitors which are connected in tricky ways. Any thumb rule is there?
 


apkrishna1963 said:
How to know whether capacitors are in series or parallel in a circuit which contain many capacitors which are connected in tricky ways. Any thumb rule is there?
Consider two plates 1 and 2 from C1 and plates 3 and 4 form C2.
In series combination, 2 and 3 plates are connected by a wire and there is no branching in the wire. In parallel combination, 1 and 3 plates and 2 and 4 plates are connected. Then this combination is connected to other source.
 

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