Engineering Maximal effect in an AC circuit

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SUMMARY

The discussion centers on calculating values in an AC circuit, specifically focusing on resistor R1 and capacitor C2. The calculated values presented are R1=170 Ohm and C2=6.5uF. Participants express concerns about potential rounding errors affecting their results, emphasizing the importance of significant figures in calculations. The consensus is that while the calculations may vary slightly, they are fundamentally sound.

PREREQUISITES
  • Understanding of AC circuit analysis
  • Familiarity with Ohm's Law
  • Knowledge of capacitive reactance
  • Proficiency in significant figures and rounding in calculations
NEXT STEPS
  • Study the principles of AC circuit analysis using tools like LTspice
  • Learn about the impact of significant figures on calculation accuracy
  • Explore methods for minimizing rounding errors in electrical calculations
  • Review the use of capacitors in AC circuits, focusing on their behavior and calculations
USEFUL FOR

Electrical engineering students, circuit designers, and anyone involved in AC circuit analysis and calculations.

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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