EE305slides_AC_part2

EE305slides_AC_part2 - Phasor Notation for Sinusoidal AC...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Phasor Notation for Sinusoidal AC Circuits ! Learning Objectives ! Be able to use complex numbers ! Understand the concept of a phasor ! Be able to transfer a time dependent signal into a phasor and vice versa ! Understand the concept of impedance/admittance Complex Numbers and Euler's Identity e j ! ! cos !" j sin ! j 2 !" 1 ! e j ! ! ! ! cos 2 !" sin 2 !" 1 Euler's Identity General Complex Number: z ! a ! jb ! A e j ! ! A cos !" jA sin !" A Complex Numbers z ! a ! jb ! A e j ! ! A cos !" jA sin !" A z ! a ! jb z ! A e j ! z ! A cos !" jA sin ! z ! A !" Cartesian Form or Rectangular Form or Standard Form Polar Form or Exponential Form Cartesian Form written so you can transform to Polar Form Phasor Form Complex Numbers z ! a ! jb ! A e j ! ! A cos !" jA sin !" A !" a !" ! z ! ! A cos ! b ! z ! ! A sin ! A ! ! z ! ! ! a 2 ! b 2 "# ! arctan b a ifa $ arctan b a %& ifa ( b $ arctan b a )& ifa ( b ! Tangent/Inverse Tangent !" ! arctan ! b a ! ifa ! arctan ! b a ! !" ifa ! ! b ! arctan ! b a ! !" ifa ! ! b ! ! pictures from: http://mathworld.wolfram.com Complex Numbers z ! a ! jb ! A e j ! z ! ! a ! jb ! A e...
View Full Document

This note was uploaded on 12/02/2011 for the course EE 305 taught by Professor Staff during the Spring '08 term at Kentucky.

Page1 / 13

EE305slides_AC_part2 - Phasor Notation for Sinusoidal AC...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online