RL High-pass Filter Trigonometry method, example 2 Assume the non-homogeneous lineair differential equation of a first order High-pass LC-filter, where \(u(t)=\hat{u}\cos(\omega t)\) is the forcing function and the current \(i(t)\) through the inductor is the response. The differential equation for this system is $$ L\,{i_p}^\prime(t)+R\,i_p(t)=\hat{u}\cos(\omega t)\label{eq:bTrigRL_DV} $$ The solution is a superposition of the natural response and a …

RLC Resonator RLC circuits are resonant circuits, as the energy in the system "resonates" between the inductor and capacitor. We will examine the properties of a resonator consisting of series circuit of an inductor (L), capacitor (C) and resistor (R), where the output is taken across the resistor.

RLC Low-pass Filter Shows the math of RLC filters and visualizes the poles in the Laplace domain. Examines and visualizes the step and frequency response.

RC Low-pass Filter Shows the math of first order RC filters and visualizes the poles in the Laplace domain. Examines and visualizes the step and frequency response.

Impedance Derives the formula for impedance of common passive electronic components using the models for energy storage of those parts.