# The equivalent inductance of a RLC in parallel

When studying a system that has the same behavior of an RLC parallel circuit, the slope of the impedance before the resonance corresponds to the value of the equivalent inductance, the slope after the resonance to the value of the equivalent capacitance and the value of the impedance at the resonance frequency to that of the resistance (phase = 0).

My question is, let's say we study an RLC circuit in real life -instead of modeling the studied system with RLC parallel circuit with constant values-, the parameters R, L and C are frequency dependent (R(f), L(f) and C(f)), then to what value of inductance (what frequency) exactly does the slope before the resonance correspond to (same for the slope after the resonance aka the capacitance)?

• You can greatly change the slope below resonance without changing the inductance : the slope is much more strongly dependent on Q than on inductance. So the premise of the question looks incorrect to me : some clarification needed? Dec 7, 2020 at 12:26
• I don't understand why the slope wouldn't change when the value of the inductance changes? Dec 7, 2020 at 12:33
• I didn't say it wouldn't. I said it'll change more when Q changes. For example keep LC constant and vary R to sweep Q between 1 and 100. Dec 7, 2020 at 12:36