I can't determine the capacitive and inductive resistance of the circuit

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SUMMARY

The discussion centers on determining the capacitive and inductive resistance in a circuit using Kirchhoff's Current Law (KCL) and Cramer's Rule. The user is attempting to solve for three unknown variables and is advised to first understand the circuit's behavior after a "sufficiently long time," where the inductor behaves like a wire and the capacitor current becomes zero. The importance of grasping these concepts is emphasized as foundational before proceeding with problem-solving.

PREREQUISITES
  • Understanding of Kirchhoff's Current Law (KCL)
  • Familiarity with Cramer's Rule for solving linear equations
  • Knowledge of inductive and capacitive reactance
  • Concept of circuit behavior over time in RLC circuits
NEXT STEPS
  • Study the behavior of RLC circuits over time, focusing on transient and steady-state analysis
  • Learn how to apply Cramer's Rule in electrical circuit analysis
  • Explore the mathematical representation of inductors and capacitors in AC circuits
  • Investigate the implications of steady-state conditions in electrical circuits
USEFUL FOR

Electrical engineering students, circuit designers, and anyone involved in analyzing RLC circuits and their transient responses.

Michael_0039
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Homework Statement
Specify the currents and the voltage drop of the elements. The circuit is working for a sufficiently long time.
Relevant Equations
nil
Hi,

I'm trying to solve this but it becomes difficult. I'm using KCL and I repalce ZL = j0,1ω (Ω) , ZC=... etc.
Finding 3 equations with 3 unknown variables (plus the ω).
And now is the time for Cramer's rule.

I'm not sure if I should move on.

What do you say ? I'm on track ?

Thanks.
..
Καταγραφή.PNG
 
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What does the circuit look like when it "is working for a sufficiently long time ". Draw that to show us that you first understand the implications before you try to go further because if you don't have that right, you'll just get lost and if you do have it right you'll see that the circuit is fairly straightforward.
 
phinds said:
What does the circuit look like when it "is working for a sufficiently long time "...
I'm not sure for that, it is a note.
 
I think that the key is this note. After a "sufficiently long time" the inductor act like a wire and the current through the capacitor is zero. (Μisleading)
 
Michael_0039 said:
I think that the key is this note. After a "sufficiently long time" the inductor act like a wire and the current through the capacitor is zero. (Μisleading)
Exactly. So draw that circuit.
 
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And by the way, if you don't completely understand WHY the note says what it says, you should worry about that first. Understanding that is WAY more important that just being able to solve this particular problem.
 
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pics.PNG

piece of cake
 
phinds said:
And by the way, if you don't completely understand WHY the note says what it says, you should worry about that first. Understanding that is WAY more important that just being able to solve this particular problem.
So @Michael_0039 , did you take that hint? Why is that important? What are the equations for a L and for a C?
 
1.PNG

For constant I, V=0

2.PNG

For constant V, I=0
 
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