10.9.Air-glass interface. The magnetic field intensity vector of a TEM wave propagating in air for x > 0 is given by H₁ = 5√2 sin(ot+ 10xx) : A/m (x in m). The wave is incident at x = 0 on the planar interface of a glass medium with relative permittivity e,= 4 (1) and negligible losses, occupying the x <0 half-space. Compute (a) the frequency of the wave, (b) the wavelength in the second (glass) medium, (c) the instantaneous and complex total electric field intensity vector in the first medium (air), (d) the maxima and minima of the total rms magnetic field intensity in air and glass, respectively, (e) the time-average Poynting vector for -0

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10.9.Air-glass interface. The magnetic field intensity vector of a TEM wave propagating in air for x > 0 is
given by H₁ = 5√2 sin(ot+ 10xx) : A/m (x in m). The wave is incident at x = 0 on the planar interface
of a glass medium with relative permittivity er = 4 (r= 1) and negligible losses, occupying the x <0
half-space. Compute (a) the frequency of the wave, (b) the wavelength in the second (glass) medium,
(c) the instantaneous and complex total electric field intensity vector in the first medium (air), (d) the
maxima and minima of the total rms magnetic field intensity in air and glass, respectively, (e) the
time-average Poynting vector for -0<x<x, and (f) the wave impedance in a plane defined by x = 10
cm.
Transcribed Image Text:10.9.Air-glass interface. The magnetic field intensity vector of a TEM wave propagating in air for x > 0 is given by H₁ = 5√2 sin(ot+ 10xx) : A/m (x in m). The wave is incident at x = 0 on the planar interface of a glass medium with relative permittivity er = 4 (r= 1) and negligible losses, occupying the x <0 half-space. Compute (a) the frequency of the wave, (b) the wavelength in the second (glass) medium, (c) the instantaneous and complex total electric field intensity vector in the first medium (air), (d) the maxima and minima of the total rms magnetic field intensity in air and glass, respectively, (e) the time-average Poynting vector for -0<x<x, and (f) the wave impedance in a plane defined by x = 10 cm.
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