How to Calculate Inductance Using a General Impedance Converter?

AI Thread Summary
The discussion focuses on calculating inductance using a General Impedance Converter (GIC) in an RCL circuit. The user applied GIC rules to determine the inductance, arriving at a value of 1 mH and a resonant frequency of approximately 5032.92 Hz. They expressed confusion over the circuit design and results, sharing multiple circuit diagrams to illustrate their attempts. Feedback is sought on the accuracy of their calculations and circuit configurations. Clarification on the inductance calculation and circuit design is needed for further understanding.
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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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