A question with capacitor and a switch

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The discussion revolves around a circuit problem involving capacitors and a switch. Initially, a 15 microfarad capacitor (C1) is charged by a 100V battery before the switch is flipped to connect C1, a 20 microfarad capacitor (C2), and a 30 microfarad capacitor (C3) in series. The total capacitance of the series combination is calculated to be 6.66 microfarads, resulting in a charge of 667 microcoulombs for C2 and C3. However, confusion arises regarding the charge on C1, which is mistakenly noted as 833 microfarads instead of microcoulombs. The thread highlights the importance of correctly understanding the relationship between capacitance and charge in series circuits.
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Homework Statement


Initially, the switch is in position A and capacitors and are uncharged. Then the switch is flipped to position B. Afterward, what are the charge on and the potential difference across each capacitor?

Position a is a 100V battery and a 15microF capacitor C1. Position B is C1 C2 and C3 in series with C2 being 20 microfarads and C3 30 microfarads.

Homework Equations



Q=CV

The Attempt at a Solution


I found the total capacitance which was 6.66uF, and the Q od C2 and C3 is 667uC which works for Q=CV. However Q1 is 833uF and I have no idea why! I know C in series all have same Q but C1 was charged first so i have no idea!
 
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First, Farads are units of capacitance not charge.
 
i know i meant 833uC
 
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