ECE201Lect-4

ECE201Lect-4 - ECE201 Lect-4 1 Sinusoids (8.1); Phasors...

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Unformatted text preview: ECE201 Lect-4 1 Sinusoids (8.1); Phasors (8.3); Complex Numbers (Appendix) Dr. Holbert January 30, 2006 ECE201 Lect-4 2 Introduction Any steady-state 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 steady-state voltages and currents have the same frequency as the source. ECE201 Lect-4 3 Introduction (cont.) In order to find a steady-state 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 steady-state voltage or current is given by the particular solution to a differential equation. ECE201 Lect-4 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 Lect-4 5 Phasors A phasor is a complex number that represents the...
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ECE201Lect-4 - ECE201 Lect-4 1 Sinusoids (8.1); Phasors...

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