Very easy 300 points, I would like an explanation, and not an answer. I already

Question

Very easy 300 points, I would like an explanation, and not an answer. I already have the answers.

relevant information. http://gyazo.com/0ada12d6b7c84e6d71d70701817bc6e8

The charges on C1 and C5 are 18.36. I am trying to figure out the charge on C2.

Since C1 and C234 are in a series, charge on C234 should be 18.36 as well. Then, if you split C234 into C23 and C4, the charge splits depending on the capactinance. C23 has a capacitance of 6.8, and C4 has 4.8. ((C23)/(C234))*18.36 should give me charge on C23, which would be 11.48. Then if I split C23 into C2 and C3, since both of these are in a series, C2 = C3 = C23. But C2 does not equal 11.48, it equals 2.932. What am I doing wrong?

Explanation / Answer

charge on c1 and c5 is q= CV = 51.6uC

charge on c234 is also 51.6uC due to series connection

now c234 = c23+c4 = c2*c3/c2+c3 + c4 = .85 +4.5 =5.35uF

and charge on c2 is simple C2*V is = 1*12uC =12uC

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