RLC circuits are resonant circuits, as the energy in the system "resonates" between the inductor and capacitor. Shows the math of an RLC resonator and visualizes the poles in the Laplace domain. Examines and visualizes the step and frequency response.
Shows the frequency response of a RLC resonator in the overdamped, critically-damped and underdamped cases. Uses Laplace transforms.
Derives the bandwidth and Q-factor of a RLC resonator. Visualizes the Bode magnitude for different zeta values. Part of the article RLC resonator. Bandwidth and Q-factor Oscillators with a high quality factor oscillate with a smaller range of frequencies and are therefore more stable. The quality factor is defined as the natural frequency \(\omega_n\) multiplied …
Listing of GNU/Octave code for RLC resonator. Used to generated the graphs in my RLC resonator article. Supplements the article RLC resonator. Appendix Bode magnitude, in GNU/Octave GNU/Octave code for RLC resonator clc; close all; clear all; format short eng L=47e-3; # 47mH C=47e-9; # 47nF #Rvector = [3.9e3]; # separate real poles #Rvector = …