Charge and voltage of capacitors?

[gmmstr827]

Homework Statement

Suppose that C1 = C2 = C3 = 16.0 µF and C4 = 28.5 µF. If the charge on C2 is Q2 = 12.4 µC, determine the charge on each of the other capacitors, the voltage across each capacitor, and the voltage Vab across the entire combination.

http://i29.photobucket.com/albums/c261/gmmstr827/capacitor.jpg

Homework Equations

Q=CV

The Attempt at a Solution

C1=C2=C3=16.0 µF, C4=28.5 µF
Q2=12.4 µC

Note that V1=V2, V3=V4, and Q1=Q2

V2=Q2/C2
V2 = 12.4 µC / 16.0 µF
V1 = V2 = 0.775 V

Note that V3 = 2*V2

V3 = 2*0.775 V
V3 = 1.55 V

Q3=C3*V3
Q3 = 16.0 µF * 1.55 V
Q3 = 24.8 µC

Q4 = C4*V4
Q4 = 28.5 µF * 1.55 V
Q4 = 44.175 µC

Therefore
Q1 = Q2 = 12.4 µC
Q3 = 24.8 µC
Q4 = 44.175 µC
V1 = V2 = 0.775 V
V3 = V4 = 1.55 VIs that correct?

 

[gneill]

You were doing fine until you ran up against Q4. Take a close look at what you've written.

 

[gmmstr827]

You were doing fine until you ran up against Q4. Take a close look at what you've written.

Guess I didn't hit the Ctrl+C hard enough that time and pasted the previous thing. I fixed it. The numbers all work out though I believe?

 

[SammyS]

V₃≠v₄

Use conservation of charge to find how Q₄ is related to the other charges.

 

[rwisz]

I would say that your solution appears to be correct based on the given information and equations. However, it would be helpful to include units in your calculations and final answers. Also, it would be useful to explain your reasoning and assumptions in more detail for better understanding. Overall, your response demonstrates a good understanding of the concepts of charge and voltage in capacitors.