Capacitors Homework Help: Solving Ideas for Initial Charge and Kirchoff's Laws

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The discussion focuses on solving a capacitor circuit problem involving initial charge and Kirchhoff's laws. Participants express uncertainty about applying charge conservation principles and Kirchhoff's equations after a switch is closed. It is noted that the charge between capacitors C1 and C2 remains constant, leading to the equation V1C1 + V2C2 = v1'C1 + V2'C2. There is also consideration of whether the same approach applies to capacitors C2 and C3, with the total charge of the circuit being a key point of confusion. Overall, the consensus is that Kirchhoff's laws can be utilized to analyze the circuit effectively.
villampaxo
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any ideas on solving this? (the capacitors are initially charged) I have some ideas but `im not sure which one is correct... I know that Q remains the same between C1 and C2, so that V1C1 + V2C2 = v1'C1 + V2'C2. From there, i don`t know if i can do the same thing for capacitors C2 and C3. I can use Kirchoff for the whole circuit... Is the total charge before and after the switch is closed maintened so that i can use: V1C1 + V2C2 + V3C3= v1'C1 + V2'C2 + V3'C2 ? (Vx' after the switch is closed, Vx before)
 

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I`d appreciate a quick reply `cause I have exams coming up...
 
The net charge of the whole circuit seems to be zero. So I'm not sure that whether you can you use it or not. But I don't have any idea either.
 
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I think the answer is: that the charge between C1 and C2 is the same before and after the switch is closed, and the total charge of the circuit remains the same so: C1V1 + C2V2= C1V'1+ C2V'2 and also, the total charge of the circuit remains the same so you ve got two equations. I think that kirchhoff can be used too.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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