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In general conducting media, plane TEM wave parameters γ and η satisfyγη = jωµ andγ η= σ + jωas well as µ = γη jω ,σ = Rγ η, = 1 ωIγ η Using these relations, for a plane wave propagating in a non-magnetic material (µ = µ0) with H = 25e−z cos(8π×106t−√3z− π 3 ) A/m Determine: 1 (a) The propagation constant γ and intrinsic impedance η (b) The permittivity and conductivity σ (c) Phasor magnetic eld H (d) The corresponding phasor electric eld E (e) Time-averaged Poynting vector E×H (f) The time averaged power dissipated in cubic volume bounded by the planes x = 0, x = 1, y = 0, y = 1, z = 0, z = 1, all in meters
In general conducting media, plane TEM wave parameters γ and η satisfyγη = jωµ andγ η= σ + jωas well as
µ =
γη jω
,σ = Rγ η, = 1 ωIγ η Using these relations, for a plane wave propagating in a non-magnetic material (µ = µ0) with H = 25e−z cos(8π×106t−√3z− π 3 ) A/m
Determine:
1
(a) The propagation constant γ and intrinsic impedance η
(b) The permittivity and conductivity σ
(c) Phasor magnetic eld H
(d) The corresponding phasor electric eld E (e) Time-averaged Poynting vector E×H (f) The time averaged power dissipated in cubic volume bounded by the planes x = 0, x = 1, y = 0,
y = 1, z = 0, z = 1, all in meters.
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