AC circuit: Find the current through the inductor & capacitor

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Discussion Overview

The discussion revolves around analyzing an AC circuit to determine the current through an inductor and a capacitor. Participants are examining the correctness of calculations related to nodal analysis and current expressions.

Discussion Character

  • Technical explanation, Homework-related, Mathematical reasoning

Main Points Raised

  • One participant, Michael_0039, presents expressions for the currents through the inductor and capacitor, seeking confirmation of their correctness.
  • Another participant agrees with Michael_0039's results, stating they reached the same conclusions through nodal analysis.
  • A participant points out an error in the evaluation of I1 by Michael_0039, providing the correct value but noting that it does not affect the results for I(L) and I(C).
  • Michael_0039 acknowledges the mistake regarding I1 and provides a corrected expression.

Areas of Agreement / Disagreement

While there is agreement on the results for I(L) and I(C), there is a disagreement regarding the evaluation of I1, which one participant claims was incorrect.

Contextual Notes

The discussion includes potential limitations in the evaluation of expressions and assumptions about circuit parameters that may not be fully articulated.

Michael_0039
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Homework Statement
AC circuit: Find the current through the inductor & capacitor
Relevant Equations
nil
Hi!

I wonder if it is correct. Can someone confirm (maybe with a software) ?

New Doc 2019-11-10 17.34.03_3.jpg


New Doc 2019-11-10 17.34.03_1.jpg


New Doc 2019-11-10 17.34.03_2.jpg


I(L) = I2
I(C) = I2 - I3
--

Thanks.
 
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Your work looks good. I worked the problem via nodal analysis and obtained the same results. Good job.
 
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Michael_0039, at the very end of your work, you didn't evaluate the expression for I1 correctly.

The correct value for I1 is 3.4955 ∠ -11.2195°

This doesn't affect your result for I(L) and I(C), but it is still a mistake.
 
The Electrician said:
Michael_0039, at the very end of your work, you didn't evaluate the expression for I1 correctly.

The correct value for I1 is 3.4955 ∠ -11.2195°

This doesn't affect your result for I(L) and I(C), but it is still a mistake.
You are right, I forgot (10+(10*I2))/12
 

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