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E E2415 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 • Blue line shows projection on real axis plotted vs time • Phasor shown at 0 degrees

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

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

Impedance of an Inductor

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

Impedance of a Capacitor

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

Phasor R-L Example (1/3)

Phasor R-L Example (2/3)

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

Numerical Phasor R-L Example (1/2)

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Presentation Transcript

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PHYSICS 2415

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