Series RLC Circuit

Voltage source:
Vs(t) = Vm ∠θ

Input impedance:


Resonant frequency:
Frequency response of current magnitude:


The highest power:


Half-power frequencies (ω1, ω2):



Half-power bandwidth (B):
B = ω2 - ω1


Quality factor (Q):
Q = 2 π (Peak energy stored)/(Energy dissipated in one period at resonance)


Change in R,


Change in L,


Change in C,