In free space (x ≤ 0), a plane wave with ? ⃗ = 100 sin(3x108t -...
In free space (x ≤ 0), a plane wave with ? ⃗ = 100 sin(3x108t - βx)? y V/m is incident normally on a lossless medium (ε= 6ε0, ?= 8μ0) in region x ≥ 0. Determine the reflected and the transmitted wave electric and magnetic field equations.
Homework Answers
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....
4. A uniform plane wave traveling in free-space impinges normally on a loss-less medium with μ2=...
4. A uniform plane wave traveling in free-space impinges normally on a loss-less medium with μ2= 2 and Ea= 2. Given that the frequency of operation is 10 GHz, the amplitude of the incident field is 1V/m. Determine the amplitude of the reflected and transmitted waves. Find the standing wave ratio and the location of the first minimum in the Standing Wave Pattern in medium-1 (free-space).
A uniform TEM plane wave in free-space (z < 0) is incident normally on a semi-...
A uniform TEM plane wave in free-space (z < 0) is incident normally on a semi- infinite non-magnetic dielectric region (z > 0). The total frequency-domain magnetic field intensity in free-space is given by: Ħ, = (4e-j242 + 2ej2nz)ây [A/m] The standing wave ratio in the dielectric region is: O 1.0 None of them 3.0 O 0.0 O 0.5
A left-handed circularly polarized plane wave propagating in air has an electric field magnitude of 28...
A left-handed circularly polarized plane wave propagating in air has an electric field magnitude of 28 V/m. This wave is normally incident on a lossless medium characterized by a relative permittivity of 8,8 and a relative permeability of 1,3, which occupies the region defined by z 0. Determine the percentage of the energy that is transmitted into the second medium. (Enter at least three digits after the decimal separator in your answer)
As shown in the figure on the back, the region x < 0 is free space,...
As shown in the figure on the back, the region x < 0 is free space, with € = 60; M = Mo, and o = 0. The region x > 0 is a perfect dielectric with e = 1.5€0, u = Ho, and o = 0. An incident wave given by E; = Eoà, cos (67 · 10%t – 27x) approaches the boundary normally, 0; = 0. a) Find the electric field of the reflected wave E.. b) Find...
3. A uniform plane electromagnetic wave with the time harmonic electric field intensity vector E' =ǐ10cos(cr-6m) (volts/meter) 46.μ.-Ha ) upon the is incident from the lossless medium I ( Ei 수x...
3. A uniform plane electromagnetic wave with the time harmonic electric field intensity vector E' =ǐ10cos(cr-6m) (volts/meter) 46.μ.-Ha ) upon the is incident from the lossless medium I ( Ei 수x lossless half-space medium 2 (629 Find: 4o) (a) the wave numbers and intrinsic impedances of each medium expressed in terms of air parameters ko and巩; give formulas for these air parameters. (b) the phasor reflected and transmitted electric field intensities Leave answers (c) the phasor reflected and transmitted magnetic...
how can I solve this problem? A uniform plane wave with an electric field given by E(x, z.)- 9Eocos[V3x10°-(xt2) is...
how can I solve this problem?
A uniform plane wave with an electric field given by E(x, z.)- 9Eocos[V3x10°-(xt2) is obliquely incident at the interface located at z- 0 between two lossless dielectric media. The relativity permittivity permittivity corresponding expression for the magnetic field of the incident wave H(x, z, t). (c) Calculate the percentage of the incident power that will be transmitted across the interface. 82r of the second medium is 3. (a) What is the relativity Eir of...
Q2(a) A uniform plane wave propagating in a z in free space ( 0)is normally incident...
Q2(a) A uniform plane wave propagating in a z in free space ( 0)is normally incident at z-0 on a conductor (z>0) for which ?-61.7 MS/m, r 1 The free-space E wave has a frequency s-1.SMHz and an amplitude of 1.0 V/m; at the interface it is given by Develop He,t fo0 (10 marks) (b) In free space, Generate the: Phase constant p (2 marks) (ii) Wavelength (2 marks) (ii) Phase velocity v, (2 marks) (iv) Intrinsic impedance of the...
A single frequency (monochromatic) plane wave propagating in free space is normally incident on plane surface...
A single frequency (monochromatic) plane wave propagating in free space is normally incident on plane surface of a medium with the relative permittivity of 1.69. What fraction of the power of the incident wave is reflected off the surface of the medium?
2. [5 Marks] A perpendicularly polarised plane wave (i.e the E-field is in the y-direction), propagates...
2. [5 Marks] A perpendicularly polarised plane wave (i.e the E-field is in the y-direction), propagates from region 1 with ?,-8.5 and into region 2 which is a vacuum. The wave exits at an angle of 15°. Given that the incident E-field amplitude is 10??/cm, find: a) The amplitude of the reflected electric field. b) The amplitude of the transmitted electric field c) The amplitude of the reflected magnetic field. d) The amplitude of the transmitted magnetic field. Useful Equations:...
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....
4. A uniform plane wave traveling in free-space impinges normally on a loss-less medium with μ2= 2 and Ea= 2. Given that the frequency of operation is 10 GHz, the amplitude of the incident field is 1V/m. Determine the amplitude of the reflected and transmitted waves. Find the standing wave ratio and the location of the first minimum in the Standing Wave Pattern in medium-1 (free-space).
A uniform TEM plane wave in free-space (z < 0) is incident normally on a semi- infinite non-magnetic dielectric region (z > 0). The total frequency-domain magnetic field intensity in free-space is given by: Ħ, = (4e-j242 + 2ej2nz)ây [A/m] The standing wave ratio in the dielectric region is: O 1.0 None of them 3.0 O 0.0 O 0.5
A left-handed circularly polarized plane wave propagating in air has an electric field magnitude of 28 V/m. This wave is normally incident on a lossless medium characterized by a relative permittivity of 8,8 and a relative permeability of 1,3, which occupies the region defined by z 0. Determine the percentage of the energy that is transmitted into the second medium. (Enter at least three digits after the decimal separator in your answer)
As shown in the figure on the back, the region x < 0 is free space, with € = 60; M = Mo, and o = 0. The region x > 0 is a perfect dielectric with e = 1.5€0, u = Ho, and o = 0. An incident wave given by E; = Eoà, cos (67 · 10%t – 27x) approaches the boundary normally, 0; = 0. a) Find the electric field of the reflected wave E.. b) Find...
3. A uniform plane electromagnetic wave with the time harmonic electric field intensity vector E' =ǐ10cos(cr-6m) (volts/meter) 46.μ.-Ha ) upon the is incident from the lossless medium I ( Ei 수x lossless half-space medium 2 (629 Find: 4o) (a) the wave numbers and intrinsic impedances of each medium expressed in terms of air parameters ko and巩; give formulas for these air parameters. (b) the phasor reflected and transmitted electric field intensities Leave answers (c) the phasor reflected and transmitted magnetic...
how can I solve this problem?
A uniform plane wave with an electric field given by E(x, z.)- 9Eocos[V3x10°-(xt2) is obliquely incident at the interface located at z- 0 between two lossless dielectric media. The relativity permittivity permittivity corresponding expression for the magnetic field of the incident wave H(x, z, t). (c) Calculate the percentage of the incident power that will be transmitted across the interface. 82r of the second medium is 3. (a) What is the relativity Eir of...
Q2(a) A uniform plane wave propagating in a z in free space ( 0)is normally incident at z-0 on a conductor (z>0) for which ?-61.7 MS/m, r 1 The free-space E wave has a frequency s-1.SMHz and an amplitude of 1.0 V/m; at the interface it is given by Develop He,t fo0 (10 marks) (b) In free space, Generate the: Phase constant p (2 marks) (ii) Wavelength (2 marks) (ii) Phase velocity v, (2 marks) (iv) Intrinsic impedance of the...
2. [5 Marks] A perpendicularly polarised plane wave (i.e the E-field is in the y-direction), propagates from region 1 with ?,-8.5 and into region 2 which is a vacuum. The wave exits at an angle of 15°. Given that the incident E-field amplitude is 10??/cm, find: a) The amplitude of the reflected electric field. b) The amplitude of the transmitted electric field c) The amplitude of the reflected magnetic field. d) The amplitude of the transmitted magnetic field. Useful Equations:...
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