329fall08hw5sol - ECE-329 Fall 2008 Homework 5 Solution...

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: ECE-329 Fall 2008 Homework 5 Solution October 23, 2008 1. Let us consider the following four plane waves in free space, E 1 = 2cos( t- z ) x V m E 2 = E o (cos( t- z ) x- sin( t- z ) y ) V m H 3 = cos( t + z + 3 ) x + sin( t + z- 6 ) y A m H 4 = cos( t- x ) z + sin( t- x ) y A m . a) The electric and magnetic fields ( E and H ) of uniform plane waves are perpendicular to each other and to the direction of propagation, therefore, it can be verified that such fields satisfy the following relation E = H , where is the unit vector parallel to the propagation direction and is the intrinsic impedance. Using this relation, we can find the expressions for H or E that accompany the waves given above, 1 = z H 1 = 2 o cos( t- z ) y A m 2 = z H 2 = E o o (cos( t- z ) y + sin( t- z ) x ) A m 3 =- z E 3 = o ( cos( t + z + 3 ) y- sin( t + z- 6 ) x ) V m 4 = x E 4 = o (cos( t- x ) y- sin( t- x ) z ) V m . b) The instantaneous power flow density is given by the Poynting vector P = E H . Therefore, the instantaneous power that crosses some surface S is given by P = S P d S . In the case of uniform plane waves, this expression simplifies to...
View Full Document

This note was uploaded on 11/16/2009 for the course ECE 329 taught by Professor Franke during the Fall '08 term at University of Illinois at Urbana–Champaign.

Page1 / 4

329fall08hw5sol - ECE-329 Fall 2008 Homework 5 Solution...

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