1. E E 2415 Lecture 8 - Introduction to Phasors

2. The Sinusoidal Function 

3. Euler Functions

4. Sinusoid to Phasor Exponential form: Separate exponents: Phasor transform: Also:

5. Simple Harmonic Motion - 0  Phasor rotates CCW about origin of complex plane Blue line shows projection on real axis plotted vs time Phasor shown at 0 degrees

6. Simple Harmonic Motion - 30  Phasor rotates CCW about origin of complex plane Blue line shows projection on real axis plotted vs time Phasor shown at 30 degrees

7. Simple Harmonic Motion - 60  Phasor rotates CCW about origin of complex plane Blue line shows projection on real axis plotted vs time Phasor shown at 60 degrees

8. Simple Harmonic Motion - 90  Phasor rotates CCW about origin of complex plane Blue dot shows projection on real axis plotted vs time Phasor shown at 90 degrees

9. Simple Harmonic Motion - 120  Phasor rotates CCW about origin of complex plane Blue line shows projection on real axis plotted vs time Phasor shown at 120 degrees

10. Simple Harmonic Motion - 150  Phasor rotates CCW about origin of complex plane Blue line shows projection on real axis plotted vs time Phasor shown at 150 degrees

11. Simple Harmonic Motion - 180  Phasor rotates CCW about origin of complex plane Blue line shows projection on real axis plotted vs time Phasor shown at 180 degrees

12. Simple Harmonic Motion - 210  Phasor rotates CCW about origin of complex plane Blue line shows projection on real axis plotted vs time Phasor shown at 210 degrees

13. Simple Harmonic Motion - 240  Phasor rotates CCW about origin of complex plane Blue line shows projection on real axis plotted vs time Phasor shown at 240 degrees

14. Simple Harmonic Motion - 270  Phasor rotates CCW about origin of complex plane Blue dot shows projection on real axis plotted vs time Phasor shown at 270 degrees

15. Simple Harmonic Motion - 300  Phasor rotates CCW about origin of complex plane Blue line shows projection on real axis plotted vs time Phasor shown at 300 degrees

16. Simple Harmonic Motion - 330  Phasor rotates CCW about origin of complex plane Blue line shows projection on real axis plotted vs time Phasor shown at 330 degrees

17. Simple Harmonic Motion - 360  Phasor rotates CCW about origin of complex plane Blue line shows projection on real axis plotted vs time Phasor shown at 360 degrees

18. Impedance of an Inductor

19. Phasor Diagram of Inductor V-I Relationship Voltage leads current by 90°

20. Impedance of a Capacitor

21. Phasor Diagram of Capacitor V-I Relationship Current leads Voltage by 90°

22. Phasor R-L Example (1/3)

23. Phasor R-L Example (2/3)

24. KVL now in complex plane. Phasor R-L Example (3/3)

25. Numerical Phasor R-L Example (1/2)