Two opposite polarity charged capacitors in series

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Homework Help Overview

The discussion revolves around the behavior of two oppositely charged capacitors connected in series. Participants explore the implications of their polarities and the resulting potential differences, questioning how charge transfer occurs when the circuit is closed.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the analogy of the circuit to parallel configurations, questioning the behavior of charge and potential differences. There are attempts to clarify how the flow of charge will balance out when the circuit is closed, with some participants expressing uncertainty about the dynamics involved.

Discussion Status

The discussion is active, with participants offering insights and prompting further exploration of the underlying principles. There is a focus on algebraic representation to clarify the situation, indicating a productive direction without reaching a consensus.

Contextual Notes

Participants note the challenge of understanding charge transfer in the context of opposite polarities and the potential for a chain reaction in the circuit. There is an emphasis on the need for clear equations to describe the system's behavior.

Painguy
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Homework Statement



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Homework Equations


Q=C

The Attempt at a Solution


a) I want to say that since both have the same potentials then it is similar to a parallel circuit where the charges can differ on each capacitor. If i think of point A as an input and point B as an output then the potential difference would have to be 100V, but I am not sure.

b)
since both are at the same potential they will no longer transfer charge.

Q1= 10^(-6) * 100=10^(-4) C

Q2 = 3*10^(-6) * 100 = 3 * 10^(-4) C

Is this right?
 
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The equation should be Q=CV but I see that you did that in your calculations.. Looks alright to me though. for a), voltage doesn't chance for capacitors in parallel. Although it does seem counterintuitive, that is the case.
 
Painguy said:
a) I want to say that since both have the same potentials then it is similar to a parallel circuit where the charges can differ on each capacitor. If i think of point A as an input and point B as an output then the potential difference would have to be 100V, but I am not sure.
The polarities are opposite. When the switches close, there will be a flow of charge through each until both capacitors have the same potential difference again, but now with the same polarity.
 
haruspex said:
The polarities are opposite. When the switches close, there will be a flow of charge through each until both capacitors have the same potential difference again, but now with the same polarity.

How would that happen though? If a negative plate transfers its charge to the positive plate of the other capacitor then it just causes a chain reaction around the loop. I'm having a hard time seeing how everything will balance out.
 
Painguy said:
How would that happen though? If a negative plate transfers its charge to the positive plate of the other capacitor then it just causes a chain reaction around the loop. I'm having a hard time seeing how everything will balance out.
Let's just do the algebra and see if it becomes clearer to you.
Let the initial charges be +Q1 and -Q1 on C1, +Q2 and -Q2 on C2. Write equations for those. When the switch is closed, assume a quantity of charge Q flows from the +ve of C1 to the +ve of C2. What charge will flow on the negative side? What equations can you write now?
 

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