Circuit analysis - proportionality

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SUMMARY

The discussion focuses on circuit analysis, specifically addressing two problems involving Thevenin transformations and resistor configurations. The user expresses confusion regarding the application of current and voltage assumptions, particularly in relation to a 34 ohm resistor and its connection with 72 and 8 ohm resistors. Key insights reveal that the 34 ohm resistor is not in series with the others, and the power calculation for the 4 ohm resistor was incorrectly derived from a combination of 3 and 1 ohm resistors rather than the original component.

PREREQUISITES
  • Understanding of Thevenin transformations in circuit analysis
  • Knowledge of resistor configurations (series and parallel)
  • Familiarity with power calculations in electrical circuits
  • Basic concepts of voltage and current in circuit theory
NEXT STEPS
  • Study Thevenin's Theorem and its applications in circuit analysis
  • Learn about series and parallel resistor combinations and their effects on circuit behavior
  • Explore power dissipation calculations in resistive circuits
  • Review examples of circuit analysis problems involving multiple resistors and sources
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Electrical engineering students, circuit designers, and anyone involved in analyzing and solving electrical circuit problems.

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Homework Statement



iImxa.jpg


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Homework Equations


First problem:
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Second problem:
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The Attempt at a Solution


I assume it is acceptable to lump this section into the previous one, as I believe they go hand in hand in this case. My apologies if not.

I am definitely a lot more lost in the second problem than I am in the first. I feel like I may have gotten the first one done just fine, but I am pretty stumped on the second problem. I am stuck at the point where I am at :(

In an example, my professor said to just label the source as I_s and then to assume I_o as 1v, then work from there, but that was an example where we were hoping to find voltage. I wasn't sure if I should do the same, but with current this time. Very confused :(

Any help would be greatly appreciated :)

Cheers!
 
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How are you adding the 34 ohm resistor with 72 and 8 ohm resistors?

Certainly the 34 ohm resistor is not in series with those two.
 
In the first problem you're supposed to be looking for the power dissipated by the 4 Ohm resistor, but in your very first step (Thevenin transformation) you've eliminated the 4 Ohm resistor as a separate component. The 4 Ohms that you found the power for in your final step was not the original 4 Ohm resistor, but in fact the sum of the 3 and 1 Ohm resistors!
 

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