How to Calculate Inductance Using a General Impedance Converter?

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Discussion Overview

The discussion revolves around calculating inductance using a General Impedance Converter (GIC) in an RCL circuit. Participants explore various configurations and calculations related to the circuit design and impedance analysis.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant describes their approach to calculating inductance using the GIC rules and provides a formula involving impedances Z1, Z2, Z3, Z4, and Z5, resulting in an inductance value of 1 mH.
  • Another participant shares a frequency analysis and expresses confusion about the circuit configuration, indicating a change in the arrangement of components.
  • A participant notes that placing Vin in series with R and C while having L in parallel yields a different result, suggesting a potential misunderstanding of the circuit design.
  • Further attempts to redesign the circuit are shared, with participants posting images of their work and expressing ongoing confusion about the results.
  • One participant explicitly requests feedback on their calculations and circuit design, indicating a desire for clarification and guidance.

Areas of Agreement / Disagreement

Participants express confusion and uncertainty regarding the correct configuration and calculations for the GIC circuit, with no consensus reached on the validity of the approaches taken.

Contextual Notes

Limitations include potential misunderstandings of circuit design principles, dependencies on specific component values, and unresolved steps in the calculations presented.

Who May Find This Useful

Individuals interested in circuit design, impedance analysis, and the application of General Impedance Converters in electrical engineering may find this discussion relevant.

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Attempt at Solution:

Well I put R1 and C1 in my RCL circuit, and then used the GIC rules to calculate the "L" inductance for the remainder of the circuit using R2,R3,R4,R5, and C2.

So I did X = (Z1*Z3*Z5)/(Z2*Z4)

where Z1=R2, Z2 = R3, Z3=R4, Z4= C2, and Z5 = R5

with the values I got X = L = 1 mH

Then my RCL circuit had Vin connected to R1, C1, and the new found "L" impedance

i used the formula w = 1/(sqrt(LC)) where w = 2pif

so I found fo = 5032.92Hz after plugging in the values.

is this correct so far?
 
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