The impedance ZRC is connected in series with the inductor. Therefore, the overall equivalent impedance ZEQ is

Note that the equivalent resistance REQ is positive for all ω. However, the equivalent reactance XEQ can be positive or negative. The resonant frequency is found by setting the reactance to zero

and solving for the resonant frequency

Transcribed Image Text:

ZEQ = ZL+ZRC R 1+ (ORC) = REQ+jXEQ @RC L- 1+ (RC)