How Do You Calculate the Equivalent Capacitance of a Complex Circuit?

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To calculate the equivalent capacitance of a complex circuit that is neither purely in series nor parallel, it may be necessary to apply Kirchhoff's Current Law (KCL) to derive the relationships between the capacitors. Breaking the circuit into simpler components can be misleading if the arrangement is not symmetric. A brute force approach, involving the formulation of KCL equations, is often required to find the solution. This method allows for a systematic analysis of the circuit's behavior. Ultimately, understanding the configuration and applying KCL will lead to the correct equivalent capacitance.
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Homework Statement



Find the equivalent capacitance of the picture in the attachment file
circuit.jpg


Homework Equations



10231.png


10232.png


The Attempt at a Solution



The circuit is neither in parallel or series. I tried breaking it up into series and parallel but it seem too easy to be correct. Any tips on solving this?
 
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Since the circuit capacitances are not symmetric, you may just need to do it the brute force way, and write the KCL equations.
 
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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