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The analysis of RLC circuits is usually made by considering phasor transformsof sinusoidal signals (characterized by constant amplitude, period and phase)that allow the calculation of the AC steady state of RLC circuits by solvingsimple algebraic equations. In this paper I try to show that phasorrepresentation of RLC circuits is analogue to consider the frequency responsefunction (commonly designated by FRF) of the total impedance of the circuit. Inthis way I derive accurate expressions for the resonance and anti-resonancefrequencies and their corresponding values of impedances of the parallel andseries RLC circuits respectively, notwithstanding the presence of dampingeffects.

Correspondence between phasor transforms and frequency response function in RLC circuits