Need to find the charge of this capacitor?

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    Capacitor Charge
AI Thread Summary
The discussion revolves around calculating the charge on capacitor C2, which is expected to be 5 µC. The user initially applied the loop rule incorrectly, leading to a miscalculation of the voltage across C2. After reevaluating the equation, they realized the correct setup should include a positive sign for V2, which corrected their approach. This adjustment resulted in the accurate calculation of charge, confirming the expected value of 5 µC. The user highlights that explaining the problem helped clarify their mistake.
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Homework Statement


Given,

MTDnC.png


What is the charge on C2 (the highlighted capacitor).
The answer is supposed to be Q2 = 5 uC


Homework Equations


C=Q/V
Loop Rule?


The Attempt at a Solution


What I did, is using the loop rule on the smaller loop, I set up
V2 - V3 - Vof C2 = 0
6 V - 4 V = Vof C2
2 V = Vof C2

So since,
Vof C2 = Q2/C2

Then,
Q2 = (2 V)(5.0 uF)

And Q = 1.0x10-5 C, however that isn't the answer... It's supposed to be 5 uC.

Solution
Wow, I just figured it out, stupid mistake. It should be V2 + V3 - Vof C2 = 0. That fixes it.
 
Last edited:
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Well done - sometimes telling it so someone else focusses your mind and you see what went wrong.
 
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