{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

lecture3

# lecture3 - Boise State University Department of Electrical...

This preview shows pages 1–2. Sign up to view the full content.

Boise State University Department of Electrical and Computer Engineering ECE 212 – Circuit Analysis and Design Lecture #3: The Phasor Transform III Lecture Objectives : 1. To define the concept of a phasor and to give it a physical interpretation using a rotating space vector 2. To derive the phasors of the derivative and integral of a sinusoidal waveform Polar-to-Rectangular and Rectangular-to-Polar Conversions : ¯ z = | ¯ z | ̸ θ = | ¯ z | cos θ + j | ¯ z | sin θ = a + jb ¯ z = a + jb = a 2 + b 2 ̸ tan 1 b a = | ¯ z | ̸ θ θ = tan 1 b a = { atan b/a if a 0 atan b/a ± 180 o if a 0 Example of a Transform: The Logarithm Transform Real Domain -→ Real Domain a ln -→ x = ln a b ln -→ y = ln b c = ab = e ln ab = e z ln - 1 ←- z = x + y = ln a + ln b = ln ab Concept of a Phasor : v ( t ) = V m cos( ωt + θ o ) = 2 V cos( ωt + θ o ) = R e { 2 V cos( ωt + θ o ) + j (anything) } = R e { 2 V cos( ωt + θ o ) + j 2 V sin( ωt + θ o ) } = R e { 2 V [cos( ωt + θ o ) + j sin( ωt + θ o )] } = R e { 2 V e j ( ωt + θ o ) } = R e { 2 ( V e o ) | {z } e jωt } Phasor ˜ V The Phasor Transform :

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 3

lecture3 - Boise State University Department of Electrical...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online