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E E 2415

E E 2415. Lecture 8 - Introduction to Phasors. The Sinusoidal Function. f. Euler Functions. Sinusoid to Phasor. Exponential form:. Separate exponents:. Phasor transform:. Also:. Simple Harmonic Motion - 0 . Phasor rotates CCW about origin of complex plane

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E E 2415

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  1. E E2415 Lecture 8 - Introduction to Phasors

  2. The Sinusoidal Function f

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

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

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

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