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EE305slides_AC_part2

# EE305slides_AC_part2 - Phasor Notation for Sinusoidal AC...

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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 !" j A sin !" A !"

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Complex Numbers z ! a ! jb ! A e j ! ! A cos !" j A sin !" A !" z ! a ! jb z ! A e j ! z ! A cos !" j A 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 !" j A sin !" A !" a !" ! z ! ! A cos ! b !" ! z ! ! A sin ! A ! ! z ! ! ! a 2 ! b 2 "# ! arctan ! b a " if a \$ 0 arctan ! b a " %& if a 0 ( b \$ 0 arctan ! b a " )& if a 0 ( b 0 !