How Do You Calculate Resistance in Complex Circuits?

AI Thread Summary
To calculate resistance in complex circuits, the equation V=IR is used along with the formula for total resistance Rt. In this case, the total resistance was calculated as Rt = 0.4 ohms based on a current of 5.0A and a voltage of 2V. However, an error in algebra led to an incorrect resistance value of -5 ohms instead of the correct answer of 0.750 ohms. The discussion emphasizes the importance of double-checking arithmetic and algebra in circuit calculations. Accurate calculations are crucial for determining resistance in complex circuits.
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Homework Statement


What is the value of resistance R in the figure, if the current through the battery is 5.0A?


Homework Equations


V=IR
Rt = (1/R1 + 1/R2)^-1 + R3


The Attempt at a Solution


Rt = V/I
Rt = 2V/5A
Rt = 0.4ohms

0.4 = (1/0.5 + 1/R)^-1 + 0.1
R = -5 ohms

(the answer given is 0.750 ohms)
 

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Everything looks correct down to and including 0.4 = (1/0.5 + 1/R)^-1 + 0.1

I started from that point and got the correct answer. Check your arithmetic again.
 
skeptic2 said:
Everything looks correct down to and including 0.4 = (1/0.5 + 1/R)^-1 + 0.1

I started from that point and got the correct answer. Check your arithmetic again.

oh yeah haha you're right, I messed up in my algebra, thanks!
 
skeptic2 said:
Everything looks correct down to and including 0.4 = (1/0.5 + 1/R)^-1 + 0.1

I started from that point and got the correct answer. Check your arithmetic again.

if you could, please take a look at my other quetsion here: https://www.physicsforums.com/showthread.php?p=3478610#post3478610
 
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