lecture20

# lecture20 - EE 205 Coifman Welcome to lecture 20 Like love...

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EE 205 Coifman 20-1 Welcome to lecture 20 Like love, after the DC component fades away, the sinusoidal steady-state response continues on. Today we will move beyond simple infatuation between electrons and consider circuit relationships that have lasted for a long time. Carrying this analogy to its logical conclusion. .. or perhaps simply going to far, like any healthy relationship, you need phasors. Euler’s relationship: ej j θ θθ =+ cos sin Cast: j = why "j"? cos θ= sin Bonus reading, Appendix-C, p. A12-A15 First calculus, then trigonometry and now imaginary numbers. .. man, this class is like a bad high school reunion!

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EE 205 Coifman 20-2 Act I, they meet vt V t t A () =+ cos , ωφ Phasor representation of the sinusoid : V = j Im Re V
EE 205 Coifman 20-3 j Im Re V Important points to note about phasors Phasors are written in boldface type like V or I to distinguish them from signal waveforms such as vt () or it A phasor is determined by amplitude and phase angle (get it, phase. .. phasor). It does not contain any information about the frequency of the sinusoid!

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## This note was uploaded on 07/17/2008 for the course EE 205 taught by Professor Coifman during the Spring '08 term at Ohio State.

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lecture20 - EE 205 Coifman Welcome to lecture 20 Like love...

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