Can someone help me find the equivalent resistance

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The discussion revolves around calculating the equivalent resistance of a circuit with multiple resistors. The user is struggling to arrive at the correct answer, consistently getting 2.07 ohms. Several participants point out potential errors in the user's approach, particularly regarding the arrangement of resistors in series and parallel. They suggest a method of redrawing the circuit after each calculation to better visualize the relationships among the remaining resistors. This strategy aims to clarify the connections and assist in accurately determining the equivalent resistance.
Gonger
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For this question I am pretty sure I am doing everything right but I just can't get the right answer. Diagram below. This is the question. Find the equivalent resistance of the circuit shown in the diagram, where R1 = 3 Ω, R2 = 2 Ω, R3 = 4 Ω, R4 = 1 Ω, R5 = 1 Ω, R6 = 2 Ω, and R7 = 2 Ω.

What I did was R4 and R3 in parallel, R6 and R5 in series, R1 and R2 in series, R12 and R7 in parallel, then R65 and R43 in series together, and finally R6543 in series with R127. I keep getting 2.07 ohms as my answer. If you can make out what I said can anyone help me?
Thanks
 

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One problem I see with your calculations is you took R1 and R2 in series, but R2 is in series with R3//R4

R1 will be one of the last ones you can reduce
 
OK I still can't get it

I have R3/R4 in parallel. Then I took that in series with R2. Then I took that in series with R6//R5. Then all of that in series with R7. And finally that in parallel with R1. Does all that sound right?
 
Gonger said:
OK I still can't get it

I have R3/R4 in parallel. Then I took that in series with R2. Then I took that in series with R6//R5.

Are you sure about that?

Gonger said:
Then all of that in series with R7. And finally that in parallel with R1. Does all that sound right?

Are you sure about that?

Tip: Once you replace two resistors with an equivalent resistance, draw the circuit again with that replacement. That way, you will be able to see the relationships amongst the remaining resistors, instead of visualising it all in your head.
 
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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