Charge and voltage of capacitors?

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Homework Help Overview

The problem involves a circuit with multiple capacitors, specifically C1, C2, C3, and C4, with given capacitances and a known charge on one of the capacitors. The objective is to determine the charge and voltage across each capacitor and the overall voltage across the combination.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the relationships between the charges and voltages of the capacitors, noting that V1 equals V2 and questioning the validity of the calculations for Q4. There is an emphasis on using conservation of charge to analyze the problem.

Discussion Status

The discussion is ongoing, with participants providing feedback on the calculations presented. Some guidance has been offered regarding the relationship between the charges, particularly concerning Q4, indicating that further clarification is needed.

Contextual Notes

Participants are working within the constraints of the problem statement and the relationships defined by capacitor theory, while also addressing potential errors in the calculations presented.

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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?
 
Last edited by a moderator:
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You were doing fine until you ran up against Q4. Take a close look at what you've written.
 
gneill said:
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?
 
V3≠v4

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

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