Hi, the attached circuit picture is supposed to be a gyrator with an inductance of L = C.R1.R2. However, I am am having trouble deriving this equation.
What I've tried to do so far is calculate the input impedance Zin = Vin/Iin. But no value of Iin is giving me a Zin with an inductive impedance. What I'm mostly confused by is how the output of the top op-amp interacts with the opamp below it.
So far I have:
Top Op-amp:
e- = e+ = Vin
Therefore I1 = Vin/R
Bottom Op-amp:
e+ = e- = Vin
I2 = (Vout - e+)/R1 = (Vout - Vin)/R1 = Vin/R1
I'm not sure what I have to do to get a current in terms of the capacitor, and then calculate the full input impedance.
Thanks,
Jin
What I've tried to do so far is calculate the input impedance Zin = Vin/Iin. But no value of Iin is giving me a Zin with an inductive impedance. What I'm mostly confused by is how the output of the top op-amp interacts with the opamp below it.
So far I have:
Top Op-amp:
e- = e+ = Vin
Therefore I1 = Vin/R
Bottom Op-amp:
e+ = e- = Vin
I2 = (Vout - e+)/R1 = (Vout - Vin)/R1 = Vin/R1
I'm not sure what I have to do to get a current in terms of the capacitor, and then calculate the full input impedance.
Thanks,
Jin