Calculating the equivalent inductance of a simulated inductor

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SUMMARY

The discussion focuses on calculating the equivalent inductance of a simulated inductor within a larger circuit. The key formula mentioned is L = R1 * R2 * C, which relates the inductance to the resistance and capacitance in the circuit. Participants emphasize the importance of applying a voltage V to the circuit input and computing the input current I, leading to the relationship V = sLI. This approach is essential for accurately determining the equivalent inductance in the given context.

PREREQUISITES
  • Understanding of circuit analysis techniques, specifically node-voltage analysis.
  • Familiarity with the concepts of inductance, resistance, and capacitance.
  • Knowledge of Laplace transforms and their application in circuit analysis.
  • Basic proficiency in electrical engineering principles.
NEXT STEPS
  • Research the application of node-voltage analysis in complex circuits.
  • Study the derivation and implications of the formula L = R1 * R2 * C.
  • Learn about the Laplace transform and its use in analyzing circuit behavior.
  • Explore practical examples of simulated inductors in circuit design.
USEFUL FOR

Electrical engineering students, circuit designers, and anyone involved in analyzing or simulating inductive components in electronic circuits.

jkface
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Homework Statement



9iLOs.jpg


I am asked to find the equivalent resistance of a simulated inductor shown above. We are told not to worry about the simulated inductor circuit. The simulated inductor will be incorporated into a larger circuit as shown below.

vPJr7.jpg


2. The attempt at a solution

I am really not sure where to start or what to do. I tried making node-voltage equations but I don't know if that's going to help anything.

When I was searching online for help I saw a post that said L = R1 * R2 * C. Is this right and how does this work? I would really appreciate any help because I'm not getting much of this.
 
Last edited:
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Apply a voltage V to the circuit input and compute the input current I. You will find that V = sLI. The formula you dug up at least looks right dimensionally.
 

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