Circuit Analyses: Find E3 Given Diagram

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The discussion centers on determining the emf E3 in a circuit diagram, emphasizing the importance of the switch's state. If the switch is open, one terminal of E3 is floating, leading to unpredictable voltage. Conversely, if the switch is closed, applying Kirchhoff's Voltage Law (KVL) around the loops allows for solving E3 using algebra. Participants clarify that E1, E2, and E3 are batteries, not capacitors, and suggest using universal schematic symbols for clarity. The key takeaway is that the switch's position significantly impacts the analysis of the circuit.
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The questions says that it doesn't matter if the switch is open or closed.

It asks, what is the emf E3 in terms of the other quantities shown.

I have attached a diagram of the circuit.

Thank you in advance.
 

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can anyone help me with this question please...
 
It definitely matters whether the switch is open or closed. If the switch is open, one terminal of the capacitor E3 is floating, and it could potentially have any voltage you can imagine across it.

If the switch is closed, just write two KVL equations around each loop, and then use algebra to combine them.

- Warren
 
chroot said:
It definitely matters whether the switch is open or closed. If the switch is open, one terminal of the capacitor E3 is floating, and it could potentially have any voltage you can imagine across it.

If the switch is closed, just write two KVL equations around each loop, and then use algebra to combine them.

- Warren

they are NOT capacitors they are batteries, E1 and E2, and E3 are all batteries...
 
Okay. I'd advise that you use schematic symbols that are more universal, but that's okay. My advice remains: pick a reference node, write KVL around each loop, and solve for whatever variable you want.

- Warren
 
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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