tutorial15Solution

Tutorial15Solution - The University of Western Australia School of Electrical Electronic and Computer Engineering Solutions Tutorial

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

View Full Document Right Arrow Icon

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

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: The University of Western Australia School of Electrical, Electronic and Computer Engineering Solutions - Tutorial Sheet 15, 2006 Electromagnetic Theory ENGT3303 Question 1 The resulting plane wave is obtained by superposition and is given by ( ) ( ) ( ) z t A z t A t z 2 2 1 1 cos cos , β ω β ω − + − = Ψ If we substitute in the four equations for ω 1 , ω 2 , β 1 , and β 2 , as given in the question and use the identity ( ) β α β α β α sin sin cos cos cos m = ± , the resultant wave becomes ( ) ( ) ( ) z t z t A t z β ω β ω − ∆ − ∆ = Ψ cos cos 2 , This resultant wave is a carrier wave at frequency ω = ω 1 + ω 2 ( ) / 2 and phase velocity v = ω / β . The amplitude of the carrier wave is a wave of frequency ∆ ω , called the beat frequency, and propagation constant ∆ β traveling at velocity v g = ∆ ω / ∆ β . time group carrier This velocity is called the group velocity, and represents the rate of flow of energy....
View Full Document

This homework help was uploaded on 04/17/2008 for the course ELEC 3305 taught by Professor - during the Spring '07 term at W. Alabama.

Page1 / 3

Tutorial15Solution - The University of Western Australia School of Electrical Electronic and Computer Engineering Solutions Tutorial

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

View Full Document Right Arrow Icon
Ask a homework question - tutors are online