RC Circuit Current Help: Equations and Attempt at Solution

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In an RC circuit, the current through the capacitor approaches zero after a long period, allowing for the simplification of the circuit by removing the capacitor. The equation q = Q(1-e^{-t/RC}) describes the charge on the capacitor over time. Understanding this behavior is crucial for analyzing circuit dynamics. The discussion emphasizes the importance of recognizing steady-state conditions in circuit analysis. Overall, mastering these concepts is essential for solving RC circuit problems effectively.
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Homework Statement


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Homework Equations


##q = Q(1-e^{\frac{-t}{RC}})##

The Attempt at a Solution


Don't know where to start...
 
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What can you say about the current in the branch containing the capacitor after a long period of time?
 
Goes to 0?
 
yes. So you are allowed to cut that part out of the circuit since doing so does not affect the rest of the circuit.
 
Ok, got it.
 
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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