EE203-SUNYBuffalo-04-Chapter09-02

Kwang w oh eesuny buffalo cos t cost 180 nj n

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Unformatted text preview: … EE 203 Circuit Analysis 2 | Spring 2008 | Prof. Kwang W. Oh | EE@SUNY-Buffalo − cos ωt = cos(ωt ± 180°) + - n=j n = -1 Im Lecture 04 | Chapter 09 | 2/7 | 7/17 - sin(α ± β ) = sin α cos β ± cos α sin β cos(α ± β ) = cos α cos β m sin α sin β j ⇔ ∠90°, − j ⇔ ∠ − 90° 1 = − j ⇔ ∠ − 90° j 1 ⇔ ∠0°, − 1 ⇔ ∠180° EE 203 Circuit Analysis 2 | Spring 2008 | Prof. Kwang W. Oh | EE@SUNY-Buffalo Lecture 04 | Chapter 09 | 2/7 | 8/17 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 Diagram EE 203 Circuit Analysis 2 Lecture 04 Chapter 9.12 Phasor Diagrams 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 A phasor diagram shows the magnitude phasor and phase angle of each phasor quantity in the complex-number plane (in (in the frequency domain plane) θ =π/2, 5π/2, 9π/2,… n=j Im n=a+jb Im n = -1 θ =π, 3π, 5π,… n = -j Re n = 1 θ = 0, 2π, 4π,… Re θ = 3π/2, 7π/2, 11π/2,… EE 203 Circuit Analysis 2 | Spring 2008 | Prof. Kwang W. Oh | EE@SUNY-Buffalo Lecture 04 | Chapter 09 | 2/7 | 9/17 EE 203 Circuit Analysis 2 | Spring 2008 | Prof. Kwang W. Oh | EE@SUNY-Buffalo Lecture 04 | Chapter 09 | 2/7 | 10/17 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 Nanob...
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