Engineering Maximal effect in an AC circuit

AI Thread Summary
The discussion revolves around solving a problem related to maximal effect in an AC circuit, with the user sharing their calculations for resistor R1 and capacitor C2, yielding values of 170 Ohm and 6.5uF, respectively. They express uncertainty about the accuracy of their solution and suspect rounding errors due to limited significant figures used during calculations. The user notes that their results align closely with another participant's findings, suggesting that the calculation process is fundamentally sound. They plan to double-check their numbers to ensure accuracy. Overall, the conversation highlights the importance of precision in calculations for AC circuit problems.
David331
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Homework Statement
Determine R1 and C2 so that the power in A-B is maximal.
Relevant Equations
See below
Hello again, I have a solution for the question, but as it is my first time solving these types of exercises I am uncertain if I my solution is correct. The first picture represents the exercise with the circuit and the second is the just some rewrites of the circuit, in swedish. Picture 3 and 4 is my solution, in english. Any help is much appreciated.
inlm 2.png
1.jpg

2.jpg
3.jpg
 
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This question requires long calculations to get the answer. My calculation result is R1=170 Ohm, C2=6.5uF.
I don’t know if I did something wrong that caused the calculation result to be inaccurate, but according to my calculation result is similar to yours, so I believe your calculation process is basically no problem.
 
Thanks for the answer! So, you got exact values of R1 and C2? Maybe there is just some rounding errors in prior computations? I will doublecheck my numbers once more.
 
This is probably due to rounding errors caused by my calculations being too sloppy, because in the calculation process, I used a very limited number of significant figures many times to write down the results displayed by the handheld calculator.
 
David331, here's what I got:

ParTran3.png
 

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