Appendix B: Electrical Engineering 101

GUIDE: Mathematics of the Discrete Fourier Transform (DFT) - Julius O. Smith III. Appendix B: Electrical Engineering 101

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NOTE: THIS DOCUMENT IS OBSOLETE, PLEASE CHECK THE NEW VERSION: "Mathematics of the Discrete Fourier Transform (DFT), with Audio Applications --- Second Edition", by Julius O. Smith III, W3K Publishing, 2007, ISBN 978-0-9745607-4-8. - Copyright © 2017-09-28 by Julius O. Smith III - Center for Computer Research in Music and Acoustics (CCRMA), Stanford University

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Appendix B: Electrical Engineering 101

The state of an ideal resistor is completely specified by the voltage across it (call it $V$ volts) and the current passing through it ($I$ Amperes, or simply ''amps''). The ratio of voltage to current gives the value of the resistor ($V/I = R = $ resistance in Ohms). The fundamental relation between voltage and current in a resistor is calledOhm's Law:

\

where we have indicated also that the voltage and current may vary with time (while the resistor value normally does not).

The electrical power in watts dissipated by a resistor R is given by

\

where $V$ is the voltage and $I$ is the current. Thus, volts times amps gives watts. Also, volts squared over ohms equals watts, and so on.

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