Potential difference of each resistor

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The discussion focuses on calculating the potential difference across each resistor in a circuit with given resistances. The user initially struggles with applying the V=iR equation and attempts various equations without success. It is clarified that the 4-ohm and 8-ohm resistors are in parallel, as are the 6-ohm and 3-ohm resistors, leading to a series connection of three resistors. The importance of understanding current flow through series resistors is emphasized, questioning whether different currents can flow through them. The conversation highlights the need for a clearer approach to combining resistors and calculating potential differences.
GBC
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Homework Statement


Screen Shot 2015-10-18 at 1.24.16 AM.png

What is the potential difference across each resistor?

I know that I'll have to incorporate the V=iR equation
but I don't know where to start though...
My first attempt was with these:
R1=4 R2=8 R3=5 R4=6 R5=3
24-I1R1-I1R2-I3R3+I4R4+I5R5=0
but this lead me nowhere so I tried this
24-I1R1-I1R2-I2R3+I3R4+I4R5=0
and again, I was stuck so I tried making it into a simple series circuit by combining R1 with R2 and R4 with R5 and got this:
24-(8/3)I23-5I2+2I45=0
and again I was stuck...
How do I find the I-values for the respective resistor? Should I be finding each one or could I combine it, as I did in my last attempt? If I combine it, how would I be able to calculate the potential difference of each of the resistors in the combined pairs (R1/R2 and R4/R5)?
 
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GBC said:

Homework Statement


View attachment 90370
What is the potential difference across each resistor?

I know that I'll have to incorporate the V=iR equation
but I don't know where to start though...
My first attempt was with these:
R1=4 R2=8 R3=5 R4=6 R5=3
24-I1R1-I1R2-I3R3+I4R4+I5R5=0
but this lead me nowhere so I tried this
24-I1R1-I1R2-I2R3+I3R4+I4R5=0
and again, I was stuck so I tried making it into a simple series circuit by combining R1 with R2 and R4 with R5 and got this:
24-(8/3)I23-5I2+2I45=0
and again I was stuck...
How do I find the I-values for the respective resistor? Should I be finding each one or could I combine it, as I did in my last attempt? If I combine it, how would I be able to calculate the potential difference of each of the resistors in the combined pairs (R1/R2 and R4/R5)?
Your first two trials have no sense. At the end you found out that the 4 ohm and 8 ohm resistors are connected parallel, and so are the 6 ohm and the 3 ohm resistors, and then you get three series connected resistors. So your last equation would be correct, What do you know of the current flowing through the series resistors? Can different current flow through them?
 
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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