Charge on Capacitor Homework: Q10 & Q11

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The discussion revolves around solving capacitor homework questions, specifically focusing on the relationship between charge and capacitance in series circuits. The initial approach using C = Q/V was deemed incorrect due to the circuit's split configuration, leading to confusion about charge distribution. The correct reasoning emphasizes that charge is conserved and that capacitors in series have equal charges, which simplifies calculations. The final calculations involved determining the total capacitance and applying it to find the charge on the capacitors. The conclusion confirms that using the resultant capacitance for series capacitors streamlines the process.
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Homework Statement


I got question 10 and need help on 11
[PLAIN]http://lulzimg.com/i23/abf9f8.jpg

Homework Equations


C = Q/V

The Attempt at a Solution


At first i thought it was a simple c = q/v and solve for Q but that wasnt right. Is that because the circuit splits off in two parts and a different number of charge is passed through each end based on the capacitors there?

This makes me think, if we use C = q/v, we would use the answer from question 10 to find the total charge available. Charge must be conserved so we take a percentage C_a is in comparison to the rest.. that's wrong too

Edit: I think i got the right answer but I need to double check on reasoning.
Using the idea that charge is convserved, i read in book that charges on capacitors in series are equal. Thus, it is a percentage split between (C_a+C_b) and (C_c+C_d). So what i did was find the percentage the capactiance in series for top and bottom were relative to the total capacitance of the 4. Using C = q/v with total capacitance, i found the total charge, then multiplied by the percentage.
C1+c2 was 2.05e-6
C3+c4 was 1.367e-6
Total was 3.417e-6

Thus c1+c2 was about 60% of total.
C(total) = q/v
q = 2.955e-4
q * 0.6 = 1.77e-4 C
 
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Ca and Cb connected in series, and the total voltage across them is V=86.5 V. What is the relation among the charges on series connected capacitors?

ehild
 
i just edited while u posted, I am guessing that's the right reasoning?
 
Yes, it is correct, but the calculation would be simpler if you used Q=Cr * V with Cr the resultant capacitance of Ca and Cb. Series capacitors have the same charge and it is the same as the charge on their resultant.

ehild
 
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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