EE203-SUNYBuffalo-04-Chapter09-02

3 the phasor kwang w oh phd assistant professor small

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Unformatted text preview: io Sensors & MicroActuators Learning Lab The State University of New York Phasor Representation (or Phasor Transform) EE 203 Circuit Analysis 2 Lecture 04 Chapter 9.3 The Phasor Kwang W. Oh, Ph.D., Assistant Professor SMALL (Nanobio Sensors & MicroActuators Learning Lab) Department of Electrical Engineering University at Buffalo, The State University of New York 215E Bonner Hall, SUNY-Buffalo, Buffalo, NY 14260-1920 Tel: (716) 645-3115 Ext. 1149, Fax: (716) 645-3656 kwangoh@buffalo.edu, http://www.SMALL.Buffalo.edu EE 203 Circuit Analysis 2 | Spring 2008 | Prof. Kwang W. Oh | EE@SUNY-Buffalo Lecture 04 | Chapter 09 | 2/7 | 11/17 The idea of phasor representation is based upon Euler’s identity: We We may be rewritten as: Given a sinusoid we can express it as: Phasor Transform EE 203 Circuit Analysis 2 | Spring 2008 | Prof. Kwang W. Oh | EE@SUNY-Buffalo Lecture 04 | Chapter 09 | 2/7 | 12/17 SMALL for Big Things University at Buffalo SMALL for Big Things University at Buffalo Nanobio Sensors & MicroActuators Learning Lab The State University of New York Nanobio Sensors & MicroActuators Learning Lab The State University of New York Phasor Transform Inverse Phasor Transform Frequency Domain Time Domain The phasor transforms the sinusoidal function from the time domain domain to the frequency domain (the complex-number domain) This is because V depends primarily on ω This is the polar form of the phasor, iit may also be represented in its t rectangular form as: Frequency Domain Time Domain The inverse phasor transforms the sinusoidal function from the frequency frequency domain to the time domain To find the inverse phasor transform we multiple by ejωt and then extract extract the Real part of the product Note: is an abbreviation that is quit...
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