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Unformatted text preview: π
= 108 ≈ 1.571 × 108 [m/s] . For comparison, the speed of
light in vacuum is ≈ 3 × 108 [m/s] . 2.3.4 Part d FIND
E (x, y, z, t)
E and H can be related through the characteristic impedance, η . The amplitudes follow the relationship, E = ηH , while the cross-product of E and
H points in the direction of the wave vector, k .
The characteristic impedance, eta, is given by η = μ , while the velocity
is c = √1 , so η = μc. If the medium is non-magnetic, then μ ≈ μ0 =
4π × 10−7 [H/m],
E = xη sin(107 πt − 0.2z ) − yη sin(107 πt − 0.2z ) , where
= 2π 2 101 ≈ 197.4[Ω]. η = 4π × 10−7 × (2.5)
(2.6) Again, for comparison, the characteristic impedance of vacuum is approximately 377Ω. 7 2.4 Problem 4 GIVEN
1-GHz uniform plane wave propagating in the z -direction in a medium with
permeability, μ, and permittivity, , characterized by...
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This document was uploaded on 03/17/2014 for the course ELECTRICAL 6.013 at MIT.
- Spring '09