Question on capacitors in parallel

AI Thread Summary
When a charged capacitor is connected in parallel with another capacitor of 1/100th its capacitance, the total charge is instantly shared, resulting in the second capacitor receiving 1/100th of the charge due to equal voltage across both. The initial voltage across the charged capacitor remains at 200V, and the charge flows to the uncharged capacitor until both capacitors reach the same voltage. The potential difference (p.d.) across the charged capacitor does not change during this process; it only affects how charge is distributed. If the emf cell remains connected, both capacitors will eventually stabilize at the cell's voltage of 200V. The discussion emphasizes the importance of understanding how voltage and charge interact in parallel capacitor configurations.
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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