Parllel Plate Capacitors Connected Opposite

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Homework Help Overview

The problem involves two capacitors connected in parallel to a voltage source, then disconnected and reconnected with opposite plates together. The original poster seeks to determine the decrease in energy of the system after this reconnection.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to calculate the initial charge on the capacitors and questions whether a new potential difference needs to be recalculated after reconnection. Other participants suggest finding the new charge and energy stored after the reconnection.

Discussion Status

The discussion is ongoing, with participants expressing uncertainty about the next steps. Some guidance has been offered regarding the relationship between charge and energy in the context of series connections, but no consensus has been reached on the approach to take.

Contextual Notes

Participants are navigating the implications of disconnecting and reconnecting capacitors, which raises questions about charge conservation and energy calculations. There is a lack of clarity on how to handle the new configuration and its effects on potential difference and energy.

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Homework Statement



Two capacitors are connected parallel to each other and connected to the battery with voltage 30 V. Let C1 = 9.8 micro F,C2 = 4.0 micro F be their capacitances. Suppose the charged capacitors are disconnected from the source and from each other, and then reconnected to each other with plates of opposite sign together.By how much does the energy of the system decrease?

Homework Equations



U = (1/2)QVFor PPC connected in parallel,

Q1 = C1V and Q2 = C2V

Ceq = C1 + C2 + C3...

The Attempt at a Solution



I found the charge stored on the plates initially, and was trying to find the charge stored on them after they were reconnect, but failed. I really don't know what to do. Do I have to find the new voltage too?
 
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If someone could just tell me if I have to recalculate a new potential difference, that would be great. I really have no clue how to proceed from here.
 
Can anyone help me with this? It's very frustrating, and I'm not quite sure how to approach it.
 
Note that when you connect the capacitors in series, they have the same charge on each other. So now you have to find the new charge on both of them and add up the stored energy in both.
 
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