Control Systems/Physical Models

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Physical Models

This page will serve as a refresher for various different engineering disciplines on how physical devices are modeled. Models will be displayed in both time-domain and Laplace-domain input/output characteristics. The only information that is going to be displayed here will be the ones that are contributed by knowledgeable contributors.

Electrical Systems

For more information about electric circuits and circuit elements, see the following books:
Circuit Theory
Electronics

Component	Time-Domain	Laplace	Fourier
Resistor	R	R	R
Capacitor	$i = C\frac{dv}{dt}$	$G(s) = \frac{1}{sC}$	$G(j\omega) = \frac{1}{j\omega C}$
Inductor	$v = L\frac{di}{dt}$	G(s) = sL	G(jω) = jωL

Chemical Systems

Control Systems