EEL3472HA6S - Ht? t F*A zo(o Proltlem 7.2 Write general...

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Unformatted text preview: Ht? t F*A zo(o Proltlem 7.2 Write general expressions for the electric and magnetic fields of a l-GHz sinusoidal plane wave traveling in the *y-direction in a lossless nonmagnetic medium with relative permittiviV e, :9. The electric field is polarized along the-r-direction, itspeakvalue is 6Ylm, and its intensityis4 v/m att:0and,y:)sr'r.. Soltttion: For f - I GHz, Fr: l, and r, : 9, ro :2nf :2tr x 109 rad/s, . 2n 2rc 2nf 2n x l}e r : T : A n { q : " { 4 : J ; l o 8 t / 9 : 2 o n r a d l m , E(y,t) : i6cos(2zr x l0er -20ny+ Qd ff/m). At t : 0 andy : 2 cm, E : 4Ylm: 4 : 6cos(-Z\n x2x t0-2 + fu) : 6cos(-0.42+ O0). Hence, to-0.4n: cos-r (;) : o.84rad, which gives and h : 2 . 1 r a d : l 2 0 . l 9 o E(y,t): i 6cos(2zr x l0el -20ny* 120.19') (V/m). Problem T.4 The electric field of a plane wave propagating in a nonmagnetic material is given by n: [y3sin(zr x l01t -0.2nx) * il4cos(n x 107 t - 0.2nx)l (V/m) Determine (a) The wavelength. (b) s.. (c) H. Solution: (a) Since k:0.2n, , _2o - rL:ro^. n: -F: T2n ( b ) 0 ) n x l o . - . ^ 1 u r : T : - o U ; : ) X l u ' r v S ' uP: G' Hence,- _ ( " \'_ /3 "_lol\'= ro. o:\a/:\5"r0'7 ( c ) H: +R x E: l* * [irrtn (tt x l07t -0.2nx) *L4cos(n x l07t -o'acx)] nq : 21 sin(n x 107 t - 0.2nx)- 91.os(r x l07t - 0.2nx) (A/m), ' 'n with rh l2on n: ft= T:20n:62.83 (O). Problern 7.6 The electric field of a plane wave propagating in a lossless, nonmagnetic, dielectric material with q :2.56 is given by P : $'20cos (6n x l}et - kz) (V/m) Determine: (a) .f , uo, h, k, and 4....
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This note was uploaded on 01/06/2011 for the course EEL 3472 taught by Professor Rakov during the Spring '08 term at University of Florida.

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EEL3472HA6S - Ht? t F*A zo(o Proltlem 7.2 Write general...

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