Capacitors connected to each other

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Two capacitors, 4.30 µF and 12.1 µF, are connected in parallel to a 9.0-V battery, resulting in charges of 38.7 µC and 108.9 µC, respectively. Upon reconnection with opposite plates joined, the positive charge from one capacitor and the negative charge from the other effectively cancel each other. This leads to a net charge of zero across the two capacitors. To find the new voltage across each capacitor after reconnection, the equivalent capacitance and total charge must be considered. Understanding these principles is crucial for solving the problem accurately.
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Homework Statement


Two capacitors, one that has a capacitance of 4.30 µF and one that has a capacitance of 12.1 µF, are connected in parallel. The parallel combination is then connected across the terminals of a 9.0-V battery. Next, they are carefully disconneted so that tehy are not discharged. They are then reconnected to each other--the positive plate of each capacitor connected to the negative plate of the other. Find the potential difference across each capacitor after they are reconnected.

C1 = 4.30µF
C2= 12.1µF
V = 9v

Homework Equations



C = Q/V

The Attempt at a Solution



Before they are reconnected each capacitor is charged to the following:
C1(V) = Q1 --> (4.3µF)(9v) = 38.7µC
C2(v) = Q2 --> (12.1µF)(9v) =108.9µC

But I lose my way after the reconnection. I understand that the voltage will change are charge will rearrange but when it comes to the specifics I am not entirely sure. Any help would be appreciated.
 
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Welcome to PF.

What happens to the positive charge of the one capacitor and the negative charge of the other when they are connected?

Did I hear you say they cancel? Good.

So if they cancel what is the net charge across the 2 capacitors?

And since you are already armed with the equivalent capacitance ... and you know the charge ... hmm I wonder how to find the voltage?
 
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