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Physics question help capacitance

Please could I have help on question bii on page 2? The ms says discussion of why all charge of one sign is on one plate and then says the capacitance is 8*10-6 but isn’t it 12*10-6?
Paper: https://drive.google.com/file/d/1CXKH4JE0xvljYsbiDdc3cs-47P0rBqI2/view
Thanks!

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Original post by anonymous56754
Please could I have help on question bii on page 2? The ms says discussion of why all charge of one sign is on one plate and then says the capacitance is 8*10-6 but isn’t it 12*10-6?
Paper: https://drive.google.com/file/d/1CXKH4JE0xvljYsbiDdc3cs-47P0rBqI2/view
Thanks!

so the combined capacitance is 8 microF isn't it

the charge that flows onto the combined capacitance is Q=CV = 72 microC

all of this flows onto one plate of X and off the other
what flows off is shared between Y and Z

the charge on X is therefore 72 microC (and the voltage across it 6V)
and the charge on Y or Z is 36 microC and their voltages 3V
Original post by anonymous56754
Please could I have help on question bii on page 2? The ms says discussion of why all charge of one sign is on one plate and then says the capacitance is 8*10-6 but isn’t it 12*10-6?
Paper: https://drive.google.com/file/d/1CXKH4JE0xvljYsbiDdc3cs-47P0rBqI2/view
Thanks!


It seems that you are confused on the principles and concepts of capacitors are connected in parallel or series:

If two or more capacitors are connected in parallel, the potential difference is the same across all capacitors.

If two or more capacitors are connected in series, the charge is the same on all capacitors.


I believe you know how to attempt (b)(i).
Consider the effective capacitance for Y and Z to be CYZ, when capacitor X is in series with capacitor YZ of capacitance CYZ, the capacitor X and YZ each has same charge Q while sum of the p.d. across X and YZ is equal to 9.0 V.

To find the charges on X, we can use either

the effective capacitance X, Y and Z (8.0 μF) and total p.d. (9.0 V)

or

the capacitance of X (12 μF) with the known p.d. across X (6.0 V).

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