Thanks in advance LvW and pancho_hideboo, I read your conversation and I learn many things, at first I had confused beacuse I mixed up definition of Q but now I learn that the Q-factor of active inductor circuit(black box) can be calculated as Image(Zin)/Real(Zin), that this Q at resonance frequency is equal to zero
LvW yes you tell true this circuit cant provide very high Q but I am newbie and its basic circuit and after study this I want to apply a technique to this circuit to increase the Q.
Rezaa, your fault was to present a passive LRC circuit to us without mention that this was an equivalent to an active inductor.
In such a passive circuit - of course - one can discuss if the Q shall be applied to the inductive path only or something else.
However, only in posting #14 you told us about the active inductor.
Because this active circuit does not allow any access to the corresponding components of the equivalent passive circuit it is clear that you can use only the two terminals that are available for some measurements resp. simulations.
More than that, we do not need the equivalent passive circuit at all.
The situation is as follows: You have an active circuit that shall simulate the behaviour of an inductor (as good as such a simple circuit can fulfill this task). From this, it is clear that you have to use the only Q definition that
can be applied and that makes sense:Q=Im(Zin)/R(Zin).
This can be simulated easily by grounding the circuit at one node and feeding the circuit with an ac current source (Iac=1A).
Then, the voltage Vo that is created across the circuit is identical to Zin. And you can display the ratio Im(Vo)/R(Vo).
Just one remark: Why do you expect that Q=0 at the resonance frequency? This is not the case.
As a result, you will see that the circuit may simulate an inductor (that means Zin with inductive behaviour) for lower frequencies and will deviate from this inductive behaviour for rising frequencies.
LvW