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Unformatted text preview: ECE201 Lect4 1 Sinusoids (8.1); Phasors (8.3); Complex Numbers (Appendix) Dr. Holbert January 30, 2006 ECE201 Lect4 2 Introduction Any steadystate voltage or current in a linear circuit with a sinusoidal source is a sinusoid. This is a consequence of the nature of particular solutions for sinusoidal forcing functions. All steadystate voltages and currents have the same frequency as the source. ECE201 Lect4 3 Introduction (cont.) In order to find a steadystate voltage or current, all we need to know is its magnitude and its phase relative to the source (we already know its frequency). Usually, an AC steadystate voltage or current is given by the particular solution to a differential equation. ECE201 Lect4 4 The Good News! We do not have to find this differential equation from the circuit, nor do we have to solve it. Instead, we use the concepts of phasors and complex impedances . Phasors and complex impedances convert problems involving differential equations into simple circuit analysis problems. ECE201 Lect4 5 Phasors A phasor is a complex number that represents the...
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 Spring '09
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