Education and Didactics

Theorems on the Transfer Function of First-Order $RC$-Circuits with Either an Ideal or a Non-Ideal Capacitor

Authors: Aloys J. Sipers, Joh. J. Sauren
Comments: 6 Pages.

In this letter two theorems are stated, the first one on the ratio of an electrical output voltage signal $y\left(t\right)$ to an electrical input voltage signal $x\left(t\right)$ of a circuit with an ideal impedance and the second one on the ratio of an electrical output voltage signal $y\left(t\right)$ to an electrical input voltage signal $x\left(t\right)$ of a circuit with a non--ideal impedance. In the latter case, the change of the ratio $y\left(t\right)/x\left(t\right)$ is a measurable quantity of the change of the resistive part of the output impedance and therefore a measure of its quality.
Category: Education and Didactics