# 329sum09hw9 - ECE 329 Homework 9 Due 5PM 1 For each of the...

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Unformatted text preview: ECE 329 Homework 9 Due: July 23, 2009, 5PM 1. For each of the four plane waves (in free space) described by a) E 1 = 2 cos( ωt- βz )ˆ x V/m b) E 2 = E o cos( ωt- βz )ˆ x- E o sin( ωt- βz )ˆ y c) H 3 = cos( ωt + βz + π 3 )ˆ x + sin( ωt + βz- π 6 )ˆ y A/m d) H 4 = cos( ωt- βx )ˆ z + sin( ωt- βx )ˆ y A/m: i. Determine the expression for H or E that accompanies the given wave field. ii. Find the expression for instantaneous power that crosses a 1 m 2 area in the xy-plane from- z to + z . iii. Find the corresponding field phasors ˜ E and ˜ H so that E = Re { ˜ E e jωt } and H = Re { ˜ H e jωt } in each case. iv. Find time averaged power that crosses a 1 m 2 area in the xy-plane from- z to + z — Note: you should be able to answer this part based on either part (ii) or (iii); you should preferably do the problem both ways. v. Determine the wave polarization using the following categories: linear polarized (state the polarization direction), circular polarized (state right- or left-circular), elliptical polarized.polarization direction), circular polarized (state right- or left-circular), elliptical polarized....
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329sum09hw9 - ECE 329 Homework 9 Due 5PM 1 For each of the...

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