Chapter1_Notes_v0

Complex v and i 15 review of complex numbers we need

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Unformatted text preview: duction: Waves and Phasors Notes based on Fundamentals of Applied Electromagnetics (Ulaby et al) for ECE331, PSU. 39 Electromagnetics I: Introduction: Waves and Phasors Notes based on Fundamentals of Applied Electromagnetics (Ulaby et al) for ECE331, PSU. 40 Electromagnetics I: Introduction: Waves and Phasors Notes based on Fundamentals of Applied Electromagnetics (Ulaby et al) for ECE331, PSU. 41 Electromagnetics I: Introduction: Waves and Phasors Notes based on Fundamentals of Applied Electromagnetics (Ulaby et al) for ECE331, PSU. 42 Electromagnetics I: Introduction: Waves and Phasors Notes based on Fundamentals of Applied Electromagnetics (Ulaby et al) for ECE331, PSU. 43 Electromagnetics I: Introduction: Waves and Phasors Notes based on Fundamentals of Applied Electromagnetics (Ulaby et al) for ECE331, PSU. 44 Electromagnetics I: Introduction: Waves and Phasors Notes based on Fundamentals of Applied Electromagnetics (Ulaby et al) for ECE331, PSU. 45 Electromagnetics I: Introduction: Waves and Phasors Notes based on Fundamentals of Applied Electromagnetics (Ulaby et al) for ECE331, PSU. 46 Electromagnetics I: Introduction: Waves and Phasors Notes based on Fundamentals of Applied Electromagnetics (Ulaby et al) for ECE331, PSU. 47 Electromagnetics I: Introduction: Waves and Phasors Notes based on Fundamentals of Applied Electromagnetics (Ulaby et al) for ECE331, PSU. 48 Electromagnetics I: Introduction: Waves and Phasors Notes based on Fundamentals of Applied Electromagnetics (Ulaby et al) for ECE331, PSU. 49 Electromagnetics I: Introduction: Waves and Phasors Notes based on Fundamentals of Applied Electromagnetics (Ulaby et al) for ECE331, PSU. 50 Electromagnetics I: Introduction: Waves and Phasors Notes based on Fundamentals of Applied Electromagnetics (Ulaby et al) for ECE331, PSU. 51 Electromagnetics I: Introduction: Waves and Phasors 52 1.6. Review of Phasors • Why use phasors? Enable solutions to integro-differential equations by transforming them into linear equations. • It is often easier to solve problems as time-harmonic. That means the source excitation– or forcing function– varies sinusoidally in time. • A large class of problems are defined this way, for example 60 Hz power lines. • For more general signals (e.g., broadband) we can decompose other (periodic) functions — using Fourier methods. That is, we can compute the time harmonic response for each of the frequency components of a signal and recombine using Fourier synthesis (principle of superposition). • We will describe here how to represent time-harmonic quantities as phasors (complex quanties) and how to solve problems. Notes based on Fundamentals of Applied Electromagnetics (Ulaby et al) for ECE331, PSU. Electromagnetics I: Introduction: Waves and Phasors 53 R + C - i vs(t) Figure 17: R-C circuit for phasor analysis. Figure 1-19 • Let’s have a look at simple RC circuit example in Fig. 17 • The source function varies sinusoidally as vs (t) = V0 sin (ω...
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This note was uploaded on 09/25/2013 for the course ECE 331 taught by Professor Martinsiderious during the Fall '12 term at Portland State.

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