Maximal effect in an AC circuit

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  • Thread starter Thread starter David331
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    Ac Ac circuit Circuit
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Discussion Overview

The discussion revolves around solving a problem related to an AC circuit, specifically focusing on the calculation of component values such as resistance (R1) and capacitance (C2). Participants share their solutions and seek validation for their calculations.

Discussion Character

  • Homework-related, Mathematical reasoning

Main Points Raised

  • One participant expresses uncertainty about their solution to the circuit problem and seeks assistance.
  • Another participant shares their calculation results for R1 and C2, indicating a potential similarity with the first participant's results.
  • A third participant suggests that rounding errors might be affecting the accuracy of their calculations.
  • Further discussion includes acknowledgment of the use of limited significant figures in calculations, which may contribute to discrepancies.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the accuracy of their calculations, as there are indications of potential rounding errors and varying approaches to the problem.

Contextual Notes

Participants mention the use of limited significant figures and rounding errors, which may affect the reliability of their results, but do not resolve these issues.

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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