# sp08hw5sol1 - HW5 ECE329 Spring20008 for E1 = 2 cos(ωt −...

This preview shows page 1. Sign up to view the full content.

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

Unformatted text preview: HW5 ECE329 Spring20008 for E1 = 2 cos(ωt − βz )ˆ x a)H1 = η20 cos(ωt − βz )ˆ y 4 2 z b) P = E × H = η0 cos (ωt)ˆ In the xy plane, P · dS = η40 cos2 (ωt)in units W ˜ ˜ c) E1 = 2e−jβz x and H1 = η20 e−jβz y ˆ ˆ d)Time average power through the surface = η20 in units W e) The electric eld is linearly polarized in the x direction. ˆ for E2 = E0 cos(ωt − βz )ˆ − E0 sin(ωt − βz )ˆ x y a)H2 = η10 E0 cos(ωt − βz )ˆ + η10 E0 sin(ωt − βz )ˆ y x 2 b)P = E × H = η20 E0 z ˆ 2 In the xy plane, P · dS = η20 E0 in units W 0 ˜ ˜ c)E2 = E0 e−jβz (ˆ + j y ) and H2 = E0 e−jβz (−j x + y ) x ˆ ˆˆ η 2 2 d)Time average power through the surface = η0 E0 in units W e)Left circularly polarized for H3 = cos(ωt + βz + π )ˆ + sin(ωt + βz − π )ˆ 3x 6y ˆ H3 = cos(ωt + βz + π )(ˆ − y ) 3x a)E3 = η0 cos(ωt + βz + π )(ˆ + y ) xˆ 3 b)P = E × H = −2η0 cos2 (ωt + βz + π )ˆ 3z In the xy plane, P · dS = −2η0 cos2 (ωt + π ) in units W 3 π π ˜ ˜ xˆ xˆ c)E3 = η0 ejβz ej 3 (ˆ + y ) and H3 = ejβz ej 3 (ˆ − y ) ¯ ˜ ˜ ˆ d)P = 1 Re(E × H∗ ) = −η0 z . The time average power through the surface is −η0 . 2 e)Eis linearly polarized along the (ˆ + y ) direction. xˆ 1 ...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online