Equivalent Capacitance Question

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The discussion focuses on calculating the equivalent capacitance of four capacitors with given values. The correct approach involves recognizing the combination of series and parallel configurations rather than applying the series formula directly. The formula for equivalent capacitance is adjusted to account for the parallel connection of C2 and C3, leading to the equation 1/Ceff = 1/C1 + 1/(C2+C3) + 1/C4. Participants emphasize the importance of correctly identifying the circuit configuration to arrive at the solution. Ultimately, understanding the arrangement of capacitors is crucial for determining the equivalent capacitance accurately.
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Homework Statement


What is the equivalent capacitance of the four capacitors in the figure below? Take C1 = 2.6 µF, C2 = 4.1 µF, C3 = 3.9 µF, and C4 = 1.1 µF.


Homework Equations


Cequiv of capacitor in series = (1/C1)+(1/C2)+(1/C3)+(1/C4)
Then take the reciprocal of the answer.


The Attempt at a Solution


I actually happen to know that the answer is 0.705 but I can't figure out how exactly to get that answer. I have tried everything from plugging the numbers directly into the equation above and almost every combination I could think of.
It's frusterating because I think it's a simple question but I can not get the right answer using my methods. If anyone can help that would be great, thank you.
 

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Did you add c2 and c3 as if they're resistors in series?
after doing that, pretend that value represents a new capacitor at that same location. and add that capacitor to c4 and c1 as if they're resistors in parallel.
 
Cequiv of capacitor in series = (1/C1)+(1/C2)+(1/C3)+(1/C4)

In this problem the above formula is not relevant because it has a combination of series and parallel circuits. The formula becomes

1/Ceff = 1/C1 + 1/(C2+C3) + 1/C4

Now find Ceff.
 
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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