How to calculate the resistance in a combined circuit

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To calculate the total resistance in a combined circuit, resistors in series are summed directly, while resistors in parallel require the reciprocal formula. For the given circuit, the total resistance for the series resistors was calculated as 250Ω. The parallel resistance calculation yielded a total resistance of approximately 111.1Ω. The calculations were confirmed as accurate by participants in the discussion. Understanding these methods is essential for solving combined circuit problems effectively.
Daniel2244
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Homework Statement


Work out the total resistance of a combined circuit.
https://gyazo.com/935b96ff63689e2bff852f29ea48bf90 - picture of circuit layout
upload_2018-3-7_12-46-18.png

Homework Equations


Rt=R1+R2+Rn...
R=V/I
1/RT=1/R1+1/R2+1/Rn...

The Attempt at a Solution


RT=R1+R2 =100+150=250Ω for the resistors in series.
1/RT=1/R1+1/R2 = 1/RT=1/250Ω+1/200=9x10-3 RT=1/9x10-3=111.1Ω
I added the resistors in series to make it a parallel circuit.
 

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Looks good.
 
Your calculations look fine.
 
TSny said:
Looks good.
Thanks
 
gneill said:
Your calculations look fine.
Thanks
 
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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