Ignoring reflection at the air-water boundary, if the amplitude of a 1 GHz incident wave in...
Ignoring reflection at the air-water boundary, if the amplitude of a 1 GHz incident wave in air is 20 V/m at the water surface, at what depth will it be down to 1 μV/m? Water has μr =1, εr = 9, and σ = 5x10-4 S/m.
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Ignoring reflection at the air-water boundary, if the amplitude
of a 1 GHz incident wave in...
Consider a vertically incoming (incident) P-wave striking a horizontally stratified earth (Fig. 2). The amplitude of...
Consider a vertically incoming (incident) P-wave striking a
horizontally stratified earth (Fig. 2). The amplitude of the
transmitted P-wave at the top boundary of layer 1 is 1 (don’t worry
about units for amplitude). What is the amplitude of the P-wave
reflected from the boundary between layers 3 and 4? What is the
amplitude of the P-wave transmitted into layer 4? What are the
amplitudes of the corresponding S-waves? Express amplitudes in
relative terms (relative to the amplitude of the...
How deep does a radar wave at 2 GHz travel in seawater before its amplitude is...
How deep does a radar wave at 2 GHz travel in seawater before its amplitude is reduced to 10^-5 of its amplitude just below the surface? Assume that μ=μ0. ε=ε0, σ=4 S/m.
EI kr Hi Er Hr Et r2-81 Ht kt A planar interface forms a boundary between air and water (assume t...
EI kr Hi Er Hr Et r2-81 Ht kt A planar interface forms a boundary between air and water (assume that this interface is flat and infinite in extent). Both materials have fh -1 and σ :: 0 S/m, where the relative permittivity of air is 1 (Er": 1) and the relative permittivity of pure water is 81 ( = 81). The coordinate system is indicated in the figure above. A uniform plane wave is obliquely incident to the interface,...
4. 30 points Consider at 100MHz wave with amplitude 6.0 V/,m obliquely incident from a lossless, ...
4. 30 points Consider at 100MHz wave with amplitude 6.0 V/,m obliquely incident from a lossless, non-magnetic material with fr 9 onto air. The angle of incidence θ¡ is one-half of the critical angle for total internal reflection. The electric field phasor is of the form 2 a) (5 points) Find the wavelength of the signal in the dielectric. b)(5 points) Find the critical angle for total internal reflection. c) (10 points) Find the magnetic field in the dielectric. d)...
Ē"(z)= 2a e 3x104) 1) A uniform plane wave is incident normally on an air-sea water...
Ē"(z)= 2a e 3x104) 1) A uniform plane wave is incident normally on an air-sea water interface at z=0. The phasor expression of the incident electric field intensity is: (V/m) The parameters of the sea-water are: E = 80€, (F/m), u = H (H/m)and o = 4(S/m). Find: a) The intrinsic impedance of medium (1) and medium (2). b) The reflection and transmission coefficients. c) The attenuation and phase constants in the second medium. d) The ratio of the sea-water...
) A uniform plane wave with f- 2.5 GHz propagates within the moist ground having the material parameters of μ-1,4-9 and σ-102 S/m. Assume that the propagation is along +x axis, and the amplitude of e...
) A uniform plane wave with f- 2.5 GHz propagates within the moist ground having the material parameters of μ-1,4-9 and σ-102 S/m. Assume that the propagation is along +x axis, and the amplitude of electric field intensity at z - 0 is 2 mV/m. a) Find the attenuation and phase constants, skin depth, phase velocity, wave impedance b) Express the electric and magnetic field intensities in time domain as a function of t and x, E(r,t) and H(x,/), where...
P22.17. A plane wave with normal polarization is incident at an angle of 60° from air...
P22.17. A plane wave with normal polarization is incident at an angle of 60° from air onto deep fresh water with Ep-81 (σ 0). The rms value of the incident electric field is 1 V/m. Find the rms value of the reflected and transmitted electric field. (a) pn0.8943,
4. A uniform plane wave (E, H) with a frequency of 3 GHz travels in the +z direction in a lossles...
4. A uniform plane wave (E, H) with a frequency of 3 GHz travels in the +z direction in a lossless medium with ε,,-4 and μ,,-1. The electric field is polarized in the x-direction. The wave impinges normally on another lossless mediumn in region 2, z >0, where ε,2-9 and μ: 1 . The amplitude of the incident electric field is 100 V/m. Write phasor and instantaneous expressions for: (İ) E, and ill of the total wave in medium 1....
1. An experimenter wishes to generate in air a sound wave that has a displacement amplitude...
1. An experimenter wishes to generate in air a sound wave that has a displacement amplitude of 5.70 x 10-6 m. The pressure amplitude is to be limited to 0.850 Pa. What is the minimum wavelength the sound wave can have? (Take the equilibrium density of air to be p = 1.20 kg/m3 and assume the speed of sound in air is v = 343 m/s.) m 2. A sound wave in air has a pressure amplitude equal to 3.98...
2. [50 pts] Given: A 100-MHZ TM polarized wave with an amplitude of 1 V/m is...
2. [50 pts] Given: A 100-MHZ TM polarized wave with an amplitude of 1 V/m is obliquely incident from air (z <0) onto a slab of lossless, nonmagnetic material with er = 25. The angle of incidence is 40°. Find: a) Determine the angle of transmission; b) determine the reflection and transmission coefficients and c) determine expressions for the incident, reflected, and transmitted fields. Solution: Answers: a) The angle of transmission is 7.37°; b) Ttm = -0.588 and TTM =...
Consider a vertically incoming (incident) P-wave striking a
horizontally stratified earth (Fig. 2). The amplitude of the
transmitted P-wave at the top boundary of layer 1 is 1 (don’t worry
about units for amplitude). What is the amplitude of the P-wave
reflected from the boundary between layers 3 and 4? What is the
amplitude of the P-wave transmitted into layer 4? What are the
amplitudes of the corresponding S-waves? Express amplitudes in
relative terms (relative to the amplitude of the...
EI kr Hi Er Hr Et r2-81 Ht kt A planar interface forms a boundary between air and water (assume that this interface is flat and infinite in extent). Both materials have fh -1 and σ :: 0 S/m, where the relative permittivity of air is 1 (Er": 1) and the relative permittivity of pure water is 81 ( = 81). The coordinate system is indicated in the figure above. A uniform plane wave is obliquely incident to the interface,...
4. 30 points Consider at 100MHz wave with amplitude 6.0 V/,m obliquely incident from a lossless, non-magnetic material with fr 9 onto air. The angle of incidence θ¡ is one-half of the critical angle for total internal reflection. The electric field phasor is of the form 2 a) (5 points) Find the wavelength of the signal in the dielectric. b)(5 points) Find the critical angle for total internal reflection. c) (10 points) Find the magnetic field in the dielectric. d)...
Ē"(z)= 2a e 3x104) 1) A uniform plane wave is incident normally on an air-sea water interface at z=0. The phasor expression of the incident electric field intensity is: (V/m) The parameters of the sea-water are: E = 80€, (F/m), u = H (H/m)and o = 4(S/m). Find: a) The intrinsic impedance of medium (1) and medium (2). b) The reflection and transmission coefficients. c) The attenuation and phase constants in the second medium. d) The ratio of the sea-water...
) A uniform plane wave with f- 2.5 GHz propagates within the moist ground having the material parameters of μ-1,4-9 and σ-102 S/m. Assume that the propagation is along +x axis, and the amplitude of electric field intensity at z - 0 is 2 mV/m. a) Find the attenuation and phase constants, skin depth, phase velocity, wave impedance b) Express the electric and magnetic field intensities in time domain as a function of t and x, E(r,t) and H(x,/), where...
P22.17. A plane wave with normal polarization is incident at an angle of 60° from air onto deep fresh water with Ep-81 (σ 0). The rms value of the incident electric field is 1 V/m. Find the rms value of the reflected and transmitted electric field. (a) pn0.8943,
4. A uniform plane wave (E, H) with a frequency of 3 GHz travels in the +z direction in a lossless medium with ε,,-4 and μ,,-1. The electric field is polarized in the x-direction. The wave impinges normally on another lossless mediumn in region 2, z >0, where ε,2-9 and μ: 1 . The amplitude of the incident electric field is 100 V/m. Write phasor and instantaneous expressions for: (İ) E, and ill of the total wave in medium 1....
1. An experimenter wishes to generate in air a sound wave that has a displacement amplitude of 5.70 x 10-6 m. The pressure amplitude is to be limited to 0.850 Pa. What is the minimum wavelength the sound wave can have? (Take the equilibrium density of air to be p = 1.20 kg/m3 and assume the speed of sound in air is v = 343 m/s.) m 2. A sound wave in air has a pressure amplitude equal to 3.98...
2. [50 pts] Given: A 100-MHZ TM polarized wave with an amplitude of 1 V/m is obliquely incident from air (z <0) onto a slab of lossless, nonmagnetic material with er = 25. The angle of incidence is 40°. Find: a) Determine the angle of transmission; b) determine the reflection and transmission coefficients and c) determine expressions for the incident, reflected, and transmitted fields. Solution: Answers: a) The angle of transmission is 7.37°; b) Ttm = -0.588 and TTM =...
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