Impedances in a 5 element circuit

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The discussion revolves around solving homework problem 18b related to a five-element circuit and its impedances. Participants suggest that due to symmetry, Z1 could equal Z2 and Z3 could equal Z4, while questioning the implications for I5. There is a request for hints and clarification on the transition between steps in the provided solution. The use of the loop current method and current equalities is mentioned as part of the problem-solving approach. The conversation highlights the challenges of interpreting complex diagrams and the need for clear assumptions in circuit analysis.
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Homework Statement


upload_2017-6-20_22-42-59.png

upload_2017-6-20_22-43-14.png


Just help me with 18 b.

Homework Equations


V1 = c1I1Z1. Same for V2,3,45. V = V1+V2+V3+V4+V5. V/I=Z=impedance.

The Attempt at a Solution


Maybe because of symmetry Z1=Z2 & Z3=Z4. Perhaps Z5 takes out one of the branches? Can I get a hint?
 
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Trying to read your image gives me eyestrain, but if Z1=Z2 & Z3=Z4 then what is I5 ?
 
https://1drv.ms/b/s!ApJAu5EMYb4JgpYy68UWlGVzp0PVLQ -- Here's the link if it helps you see better. problem 18b.
phinds said:
Trying to read your image gives me eyestrain, but if Z1=Z2 & Z3=Z4 then what is I5 ?
I would not assume anything is equal to another unless the problem explicitly says that
 
gimak said:
I would not assume anything is equal to another unless the problem explicitly says that
I am following up on what YOU said not what the problem statement said
gimak said:
1Maybe because of symmetry Z1=Z2 & Z3=Z4
 
One more thing: I still don't know how they jumped from the 2nd to last line to the last line in this problem (in the answer I mean).
 
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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