Question on capacitors in parallel

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Homework Help Overview

The discussion revolves around capacitors connected in parallel, specifically focusing on the behavior of charge distribution and voltage when a second capacitor is introduced to a circuit with an existing charged capacitor and a power source of 200V emf.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the reasoning behind the instantaneous sharing of charge between capacitors in parallel and question the implications for voltage across both capacitors. There is a focus on understanding how the potential difference (p.d.) behaves during this process.

Discussion Status

Some participants are clarifying misunderstandings regarding the behavior of voltage across the capacitors and the role of the emf cell. There is an ongoing exploration of whether the emf cell remains connected during the charge sharing process, indicating multiple interpretations of the scenario.

Contextual Notes

There is a question regarding the initial conditions of the circuit, specifically whether the emf cell is disconnected before the second capacitor is connected, which may affect the analysis of the problem.

binbagsss
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A capacitor is connected to a cell of emf 200V and fully charged.
Another capacitor is then connected in parallel, which has 1/100th of the capacitance of the charged capacitor.
The total charge is instantly shared between the two capacitors, and so the capacitor connected in parallel to the original capacitor will get 1/100th of the charge as components in parallel have the same voltage and so Q is proportional to C.

However, what I don't fully understand is why the charge is instantly shared, and, eventually will both capacitors obtain a voltage equal to the emf of the cell?

- Is it because intially the emf is not able to do any work, because the capacitor which is fully charged has an equal voltage across it, acting in the opposite direction. However charge is able to flow from the charged capacitor to the capacitor in parallel as this has no pd across it, and so the charge will be distributed until both capacitors reach the same voltage and no current flows.
- But, as the charge flows from the charged capacitor to the uncharged capacitor, the p.d across the charged capacitor decreases, and so the cell has the greater voltage again and is able to do work, so eventually will both capacitors reach 200v?
 
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hi binbagsss! :smile:
binbagsss said:
However, what I don't fully understand is why the charge is instantly shared, and, eventually will both capacitors obtain a voltage equal to the emf of the cell?

- But, as the charge flows from the charged capacitor to the uncharged capacitor, the p.d across the charged capacitor decreases, and so the cell has the greater voltage again and is able to do work, so eventually will both capacitors reach 200v?

no, you're misunderstanding p.d. (voltage) …

the p.d. across either capacitor is 200 V at all times, it doesn't change …

only its effect changes, in this case it (almost) instantly charges the second capacitor
 
That sounds cool, however the question then asks to calculate the initial reading on the voltmeter, which is connected in parallel to the second capacitor...
 
can you clarify the original question …

is the emf cell disconnected before the second capacitor is connected, or does the emf cell remain connected the whole time? :confused:
 

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