Potential difference Capacitance problem

AI Thread Summary
The discussion revolves around a capacitor problem involving three capacitors (C1, C2, and C3) with a potential difference of 100 V applied. The user initially calculates the total charge and potential differences across the capacitors but struggles with the correct relationships between them after C3 undergoes electrical breakdown. A key error identified is the assumption that the total charge can be expressed as Q_tot = 2 * Q3, which is incorrect; the correct relationship is Q_tot = Q1 + Q2 + Q3. The user seeks clarification on how to proceed with the calculations for the charge on C1 and the potential difference across it, indicating confusion over the correct values. The thread highlights the importance of accurately applying capacitor formulas and understanding series and parallel configurations.
endeavor
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Homework Statement


http://img509.imageshack.us/img509/8805/problem5fw8.th.png
The potential difference V = 100 V is applied to the capacitor arrangement shown in the figure. Here C1 = 10 microF, C2 = 5 microF, and C3 = 4microF. If capacitor C3 undergoes electrical breakdown (i.e. becomes equivalent to a conducting wire), what is the increase in (a) the charge on capacitor 1, and (b) the potential difference across capacitor 1?

The Attempt at a Solution


I wasn't sure how to solve it so I started doing different things:
I first found the equivalent capacitance, and with that I found the total charge to be Q_tot = 3.16 * 10^-4 C.
Then, I thought since the equivalent of C1 and C2, and C3 are in series, Q1 + Q2 = Q3, so Q_tot = 2 * Q3.
Then, from Q3 and C3, I find the potential difference across of C3 to be V3 = 39.5V, which in turn makes V1 = V2 = 60.5V.
From V1 and V2, I found the initial charges Q1 = 605 microC, and Q2 = 302.5 microC.
I'm not sure where to go from here...

I tried also to find the final potential difference across C1:
C12 = C1 + C2 = Q_tot / V_new
V_new = 21V, but it's supposed to be 79V... what am I doing wrong here?

Since Q = CV, if I plug in V = 79V, then Q1 = 790 microC, which is the answer for part (a), right? So should I try to solve part (b) first?

Any help would be greatly appreciated!

P.S. sorry for not using tex...
 
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you've made a mistake

Q1 + Q2 = Q3, so Q_tot = 2 * Q3.

this is the faulty assumption

it should be
Q1 + Q2 = Q3 = Q_tot
 
But if Q1 + Q2 = Q3, and Q_tot = Q1 + Q2 + Q3, then Q_tot = Q3 + Q3 = 2*Q3 ... right?
 
endeavor said:
But if Q1 + Q2 = Q3, and Q_tot = Q1 + Q2 + Q3, then Q_tot = Q3 + Q3 = 2*Q3 ... right?

you just restated what i already said was wrong

Q_tot = Q1 + Q2 = Q3
 
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