# 215+Ch7 - 7 AC ANALYSIS CIRCUITS by Ulaby Maharbiz Linear...

This preview shows pages 1–14. Sign up to view the full content.

7. AC ANALYSIS CIRCUITS by Ulaby & Maharbiz

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

View Full Document
Linear Circuits at ac Objective: To determine the steady state response of a linear circuit to ac signals b Sinusoidal input is common in electronic circuits b Any time-varying periodic signal can be represented by a series of sinusoids (Fourier Series) b Time-domain solution method can be cumbersome
Sinusoidal Signals ( ) ( ) φ ω + = t V t v cos m f π 2 = f T 1 = Useful relations

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

View Full Document

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

View Full Document

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

View Full Document
Complex Numbers We will find it is useful to represent sinusoids as complex numbers jy x z + = θ j e z z z = = 1 - = j Rectangular coordinates Polar coordinates sin cos j e j ± = ± Relations based on Euler’s Identity

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

View Full Document
Relations for Complex Numbers Learn how to perform these with your calculator/computer

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

View Full Document
Phasor Domain 1. The phasor-analysis technique transforms equations from the time domain to the phasor domain. 2. Integro-differential equations get converted into linear equations with no sinusoidal functions. 3.

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.

## This note was uploaded on 01/19/2012 for the course EECS 215 taught by Professor Phillips during the Fall '08 term at University of Michigan.

### Page1 / 56

215+Ch7 - 7 AC ANALYSIS CIRCUITS by Ulaby Maharbiz Linear...

This preview shows document pages 1 - 14. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online