Capacitor Connections and Charge Conservation

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In summary, two capacitors with initial charges of 880V and 560V, respectively, are disconnected from their batteries and then connected together with their positive and negative plates. After a long time, the final voltage and charge on each capacitor will depend on whether they are connected in series or parallel. If connected in parallel, the total charge will be conserved and the final voltage will be determined by the combined capacitance. If connected in series, the voltage and charge on each capacitor will be much smaller.
  • #1
ursulan
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Homework Statement


a capacitor C1 2.4uF charged to a voltage of 880V and a second capacitor C2 4.0uF charged to 560V. They are disconnected from their batteries and their positive plated and connected together, and their negative plated are connected together. What will the final voltage and charge on each be after a long time? They are then connected negative to positive..and same question as before.


Homework Equations


Q=CV


The Attempt at a Solution


I don't really have a clue. However, I found the charge on each capacitor initially then added them together, and found the percent for each capacitor (C1/(C1+C2)) and times it by the total charge. Does that even make sense? because the answer was right. Are you able to add the capacitors in any way? are they in series or parallel? the voltages of them were the same as if they were in parallel. AH!
 
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  • #2
Find the charge Q1 on C1 and Q2 on C2.

The total charge has to be conserved.

Then find the combined capacitance in parallel, and find the voltage based on the total charge and effective capacitance.
 
  • #3
Astronuc said:
Find the charge Q1 on C1 and Q2 on C2.

The total charge has to be conserved.

Then find the combined capacitance in parallel, and find the voltage based on the total charge and effective capacitance.

This works for the first case where the 2 positive ends are connected. In the second case where the positive is connected to the negative of the other it doesn't..whether you add the capacitances in parallel or series?! The voltage and charge on each is much smaller.
 

FAQ: Capacitor Connections and Charge Conservation

How do capacitors work when connected together?

When two capacitors are connected together, they share the same voltage and charge. This means that the total capacitance of the circuit is equal to the sum of the individual capacitances.

What happens if two capacitors with different values are connected together?

The total capacitance of the circuit will be somewhere between the two individual values. The larger capacitor will have a greater influence on the overall capacitance.

Can two capacitors be connected in series?

Yes, two capacitors can be connected in series by connecting the positive end of one capacitor to the negative end of the other. The total capacitance of the circuit will be less than the individual capacitances.

What about connecting capacitors in parallel?

Connecting capacitors in parallel means connecting the positive ends together and the negative ends together. The total capacitance of the circuit will be equal to the sum of the individual capacitances.

How do capacitors affect the flow of current when connected together?

Capacitors do not allow any direct flow of current, but they can store and release electrical energy. When connected together, they can affect the flow of current by storing and releasing charges, depending on the type of circuit and the voltage applied.

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