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Engineering Sciences 154 |
Also see valuable references and interactive web pages at Links to Electronics Tutorials.
Symbol Representations of "Ideal" Sources
![]() "Ideal" Voltage Source |
Current Source |
Temporal Representations of Electronic Signals:
Canonical Two-Port Circuit Problem:Spectral Representations of Electronic Signals:
Jean Baptiste Joseph Fourier (1768 - 1830) - sourceA key question in information technology:With such a vast array of complex signals possible, how can one ever expect to obtain a quantitative understanding of the information content of messages or to understand how signals are transformed in passing through physical system? Spectral analysis gives us the tools to achieve just such a quantitative understanding.Once over lightly on Spectral Synthesis:The basic idea is that any time varying signal -- no matter how complex-- can be represented as a sum (or integral) of sinusoidal components - a spectral representation.Does this help?Yes.We shall see that a particular measure of the complexity of an spectral representation -- viz., the "bandwidth" -- directly relates to the information content of the message. However, before we can appreciate the notions of spectral (Fourier) analysis or decomposition, we first lightly explore the subject of spectral (Fourier) synthesis.Fourier RecipeFourier Synthesis: a nice spectral applet from the Physics Department at Georgia Tech: one of many collected at Links to Electronics Tutorials.
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Goal of circuit analysis is to turn this problem into a related problem in linear algebra - viz.
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h-parameter representation |
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y-parameter representation |
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z-parameter representation |
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g-parameter representation |
Resistive Networks:
In 1827 what is now known as Ohm's law appeared in Die galvanische Kette, mathematisch bearbeitet. Between 1825-27, Georg Simon Ohm (1789-1854), professor of mathematics at the Jesuit College of Cologne, had been studying electrical conduction following as a model Fourier's study of heat conduction. Ohm's Law states that the strength of an unvarying electric current is directly proportional to the electromotive force, and inversely proportional to the resistance of the circuit concerned. Need it be said, the unit of resistance is named after him. (Source 1 and Source 2) Simplest and most important examples - Divider Networks
| A Two-Resistor Circuit | Java Applet |
| A Four-resistor Circuit | Java Applet |
| Kirchhoff's Rules (Circuit 1) | Java Applet |
| Kirchhoff's Rules (Circuit 2) | Java Applet |
| Kirchhoff's Rules (Circuit 3) | Java Applet |
| Kirchhoff's Rules (Circuit 4) | Java Applet |
| Kirchhoff's Rules (Circuit 5) | Java Applet |
Linear Circuit Elements
Circuit Symbol Physical Law Impedance ![]()
capacitors
Pictures of real
Pictures of real
inductors
- Simple RC Circuits by straight forward methods
- Simple RC and RLC by "phasor" transform method
- Simple RLC Circuits by Laplace transforms