How to find the charge on each capacitor

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    Capacitor Charge
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SUMMARY

The discussion focuses on calculating the charge on two capacitors, X and Y, connected to two batteries. The key equations used include Q=CV, Kirchhoff's law, and the concept of equivalent capacitance for capacitors in series. The initial assumption that capacitor Y has no charge due to its connection to the negative terminals is incorrect; both capacitors are in series, which affects the charge distribution. The correct approach requires analyzing the entire circuit to understand the potential differences and charge conservation.

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  • Understanding of capacitor theory and equations, specifically Q=CV
  • Familiarity with Kirchhoff's laws for circuit analysis
  • Knowledge of series and parallel capacitor configurations
  • Basic principles of charge conservation in electrical circuits
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Homework Statement


Two batteries are connected to two identical capacitors X and Y.Initially all the plates of the capacitors are uncharged.How to find charge on each Capacitor in the given diagram.Let the Capacitance of Capacitor be C.
IMG_20180131_130237.jpg

Homework Equations


1.Q=CV
2.Kirchoff's law
3.C=C1+C2 ( Equivalent Capacitance for capacitors in parallel connection)
4.E=E1+E2(Equivalent emf for cells in series)

The Attempt at a Solution


I thought that there will be no charge on Y Capacitor as it is connected to negative terminal from both sides of 0 potential.
Q(on X)=CV( across X i.e.=3V)
Therefore Q=3C. But this answer is wrong. What is wrong in my approach?
 

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Fara_k2 said:
I thought that there will be no charge on Y Capacitor as it is connected to negative terminal from both sides of 0 potential.
Q(on X)=CV( across X i.e.=3V)
What would that mean for the charges on the upper plates in both capacitors? What would that mean for the total charge in the upper half of the circuit? Where would this charge come from?

In general you can't know the potential of a battery terminal without analyzing the circuit. All you know for sure is the difference between the terminals.
 
Think about Conservation of charge as well as energy on the system .Then you may be able to solve this
 
Fara_k2 said:

Homework Statement


Two batteries are connected to two identical capacitors X and Y.Initially all the plates of the capacitors are uncharged.How to find charge on each Capacitor in the given diagram.Let the Capacitance of Capacitor be C.
View attachment 219422

Homework Equations


1.Q=CV
2.Kirchoff's law
3.C=C1+C2 ( Equivalent Capacitance for capacitors in parallel connection)
4.E=E1+E2(Equivalent emf for cells in series)

The capacitors are not connected in parallel. They are in series, like the cells, in the same loop.

Fara_k2 said:

The Attempt at a Solution


I thought that there will be no charge on Y Capacitor as it is connected to negative terminal from both sides of 0 potential.
Q(on X)=CV( across X i.e.=3V)
Therefore Q=3C. But this answer is wrong. What is wrong in my approach?
The capacitor Y is connected to the negative sides of two batteries, but it does not mean that that those negative terminals are at the same zero potential.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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