How Do You Calculate Q3 in a Complex Capacitor Network?

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To calculate the charge Q3 on capacitor C3 in a complex capacitor network, it's essential to understand the relationships between the capacitors. Given that capacitors in series share the same charge, Q1 equals Q2 plus Q3. The known values include Q1, C1, and the energy stored in C2, which helps in determining the voltage across C2. The discussion highlights the importance of recognizing series and parallel configurations, suggesting that a clear understanding of plate connections can aid in identifying these arrangements. Ultimately, applying these principles allows for the calculation of unknown charges in the network.
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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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