Potential difference across a capacitor problem

In summary, the conversation discusses the solution to finding the potential difference between P and Q in a series circuit. It is explained that the charges on the two capacitors are assumed to be equal because in a series circuit, the same current flows through all components. This means that any current leaving a battery must also flow back into its other terminal, making the charges equal. This understanding is confirmed by the speaker, who thanks the other person for clarifying.
  • #1
zorro
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Homework Statement



The problem is to find out the potential difference between P and Q in the following figure-

attachment.php?attachmentid=34660&stc=1&d=1303308181.jpg


The solution given takes the charges on two capacitors to be equal. Why is it so?
 

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  • #2
It's a series circuit, so any current that flows while the circuit heads to equilibrium must be the same for all components. Same current --> same amount of charge moved.
 
  • #3
Some amount of charge say Q1 may flow from the 22V battery to the 7V battery to charge the 2F capacitor. Q2 amount may flow from 7V battery to 22V battery. How can we say that the charges are equal unless the two capacitances are equal?
 
  • #4
The current in a series circuit is everywhere the same. Any current that leaves the 22V battery's + terminal must also flow back into its - terminal. Same goes for the 7V battery, and all the other components in the series.
 
  • #5
I got it now. Thanks!
 

1. What is potential difference across a capacitor?

Potential difference across a capacitor is the difference in electric potential energy between the positive and negative plates of the capacitor. It is also known as voltage and is measured in volts (V).

2. How is potential difference across a capacitor calculated?

The potential difference across a capacitor can be calculated by dividing the charge on the capacitor plates by the capacitance. The formula is V = Q/C, where V is the potential difference, Q is the charge, and C is the capacitance.

3. Why is potential difference across a capacitor important?

Potential difference across a capacitor is important because it determines the amount of energy that can be stored in the capacitor. It also plays a crucial role in the functioning of electronic circuits, as it is used to control the flow of current.

4. How does potential difference across a capacitor affect the capacitance?

The potential difference across a capacitor is directly proportional to the capacitance. This means that as the potential difference increases, the capacitance also increases. Likewise, a decrease in potential difference will result in a decrease in capacitance.

5. What factors can affect the potential difference across a capacitor?

The potential difference across a capacitor can be affected by the charge on the plates, the distance between the plates, and the material used for the plates. It can also be affected by external factors such as temperature and humidity.

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