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Electromagnetic plane waves in a lossy medium field of an electromagnetic plane wave traveling in a lossy medium can be written as 6. The where z is the distance, t is time, and f the frequency....
Problem 6. Electromagnetic plane waves in a lossy medium The electric field of an electromagnetic plane wave traveling in a lossy medium can be written as where z is the distance, t is time, and f...
Problem 6. Electromagnetic plane waves in a lossy medium The electric field of an electromagnetic plane wave traveling in a lossy medium can be written as where z is the distance, t is time, and fthe frequency. For f 1 GHz, it is found by measurement that the amplitude of the electric field is attenuated by a factor of 3 after the wave travels 100 m (i.e., to 1/3 of the amplitude at z-0 when it arrives at z- 100...
blem 6. Electromagnetic plane waves in a lossy medium tric field of an electromagnetic plane wave...
blem 6. Electromagnetic plane waves in a lossy medium tric field of an electromagnetic plane wave traveling in a lossy medium can be written as The where z is the distance, t is time, and fthe frequency. Forf- 1 GHz, it is found by measurement that the amplitude of the electric field is attenuated by a factor of 3 after the wave travels 100 m (ie, to 1/3 of the amplitude at: 0 when it arrives at : -100 m)....
8-18 A nonmagnetic dielectric supports an electromagnetic plane wave of a 20.32[Np/m] and B 38.85[rad/m] at a frequency f 1IGHz] Find (a) loss tangent, (b) dielectric constant, and (c) intrinsic...
8-18 A nonmagnetic dielectric supports an electromagnetic plane wave of a 20.32[Np/m] and B 38.85[rad/m] at a frequency f 1IGHz] Find (a) loss tangent, (b) dielectric constant, and (c) intrinsic impedance. 8-19 A lossy dielectric of ε,-1.5 and μ, I support an electromagnetic plane wave of ß-120 Irad/ml at a frequency 5OMHzl Find (a) loss tangent, and (b) σ.
8-18 A nonmagnetic dielectric supports an electromagnetic plane wave of a 20.32[Np/m] and B 38.85[rad/m] at a frequency f 1IGHz] Find...
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....
3.A uniform electromagnetic plane wave is normally incident from the air region ( medium #1 with+ η = η。= 120π ) upon the planar interface separating air from a lossy dielectric medium (medium #...
3.A uniform electromagnetic plane wave is normally incident from the air region ( medium #1 with+ η = η。= 120π ) upon the planar interface separating air from a lossy dielectric medium (medium #2 with intrinsic impedance 20π + jlOr ). The incident plane wave in air has a phasor electric field given by E(x)-le, x<0 Find: (a) the frequency f (Hertz) (b) the magnitude and the phase of the reflected phasor electric field E as a function of coordinates...
4. A uniform plane electromagnetic wave propagates in a lossless dielectrie medium with μ = μ°...
4. A uniform plane electromagnetic wave propagates in a lossless dielectrie medium with μ = μ° and ε = εγεο . The phasor electric field is given by the where Eo is a complex constant and ω is angular frequency. Note that the wavenumber of the dielectric k is not the free space wavenumber ko-alc = ωνμο (a) Find the relative dielectric constant&, (b) Find the direction of propagation n and draw it on the figure. (c) Sketch (draw) on...
Assume that a medium has ε.9εο, σ-0.1 S!m, and μ. μο. A uniform plane wave at 6 GHz propagates in...
Assume that a medium has ε.9εο, σ-0.1 S!m, and μ. μο. A uniform plane wave at 6 GHz propagates in this medium in the direction. Find the ratio of the electric field magnitudes at x 0 and x-2 m. Also, find the phase difference between electric fields at these points.
Assume that a medium has ε.9εο, σ-0.1 S!m, and μ. μο. A uniform plane wave at 6 GHz propagates in this medium in the direction. Find the ratio of the...
3. A uniform plane electromagnetic wave propagates in a lossless dielectric medium with μ μ0 and...
3. A uniform plane electromagnetic wave propagates in a lossless dielectric medium with μ μ0 and ε ε,60 . The phasor electric field is given by the Note that the wavenumber of the dielectric k ko, where ko-o/c ωνμοε0 . Find the (a) relative dielectric permittivity (dielectric constant) (b) direction of propagation n, which is a unit vector (e) angle between the direction that the electric field vector points and the direction of in.
The electric field of a positive z-traveling wave in a medium with relative dielectric constant of...
The electric field of a positive z-traveling wave in a medium with relative dielectric constant of er 4 and with frequency of 2.5 GHz is given by Ex Eox cos(ot - kz) V/m. 1. a. Find the magnetic field if Eox 400,000 V/m. b. Determine the phase velocity and wavelength.
Problem 4: Time harmonic waves in lossy dielectric Start with Maxwell's equations and show that t...
Problem 4: Time harmonic waves in lossy dielectric Start with Maxwell's equations and show that the electric field E(x, y, z, t) in a conductive material with conductivity σ satisfies the following wave equation a. 72 _ με.at? _ μσαί)F-0 b. Show that the following is a solution E(F, t)-(8 + 9) Eo e-kız cos(at-kez) where Eo is a constant and kR and k, are given by 0.5 w22 c. Obtain the direction of propagation for the wave in part...
Problem 6. Electromagnetic plane waves in a lossy medium The electric field of an electromagnetic plane wave traveling in a lossy medium can be written as where z is the distance, t is time, and fthe frequency. For f 1 GHz, it is found by measurement that the amplitude of the electric field is attenuated by a factor of 3 after the wave travels 100 m (i.e., to 1/3 of the amplitude at z-0 when it arrives at z- 100...
blem 6. Electromagnetic plane waves in a lossy medium tric field of an electromagnetic plane wave traveling in a lossy medium can be written as The where z is the distance, t is time, and fthe frequency. Forf- 1 GHz, it is found by measurement that the amplitude of the electric field is attenuated by a factor of 3 after the wave travels 100 m (ie, to 1/3 of the amplitude at: 0 when it arrives at : -100 m)....
8-18 A nonmagnetic dielectric supports an electromagnetic plane wave of a 20.32[Np/m] and B 38.85[rad/m] at a frequency f 1IGHz] Find (a) loss tangent, (b) dielectric constant, and (c) intrinsic impedance. 8-19 A lossy dielectric of ε,-1.5 and μ, I support an electromagnetic plane wave of ß-120 Irad/ml at a frequency 5OMHzl Find (a) loss tangent, and (b) σ.
8-18 A nonmagnetic dielectric supports an electromagnetic plane wave of a 20.32[Np/m] and B 38.85[rad/m] at a frequency f 1IGHz] Find...
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....
3.A uniform electromagnetic plane wave is normally incident from the air region ( medium #1 with+ η = η。= 120π ) upon the planar interface separating air from a lossy dielectric medium (medium #2 with intrinsic impedance 20π + jlOr ). The incident plane wave in air has a phasor electric field given by E(x)-le, x<0 Find: (a) the frequency f (Hertz) (b) the magnitude and the phase of the reflected phasor electric field E as a function of coordinates...
4. A uniform plane electromagnetic wave propagates in a lossless dielectrie medium with μ = μ° and ε = εγεο . The phasor electric field is given by the where Eo is a complex constant and ω is angular frequency. Note that the wavenumber of the dielectric k is not the free space wavenumber ko-alc = ωνμο (a) Find the relative dielectric constant&, (b) Find the direction of propagation n and draw it on the figure. (c) Sketch (draw) on...
Assume that a medium has ε.9εο, σ-0.1 S!m, and μ. μο. A uniform plane wave at 6 GHz propagates in this medium in the direction. Find the ratio of the electric field magnitudes at x 0 and x-2 m. Also, find the phase difference between electric fields at these points.
Assume that a medium has ε.9εο, σ-0.1 S!m, and μ. μο. A uniform plane wave at 6 GHz propagates in this medium in the direction. Find the ratio of the...
3. A uniform plane electromagnetic wave propagates in a lossless dielectric medium with μ μ0 and ε ε,60 . The phasor electric field is given by the Note that the wavenumber of the dielectric k ko, where ko-o/c ωνμοε0 . Find the (a) relative dielectric permittivity (dielectric constant) (b) direction of propagation n, which is a unit vector (e) angle between the direction that the electric field vector points and the direction of in.
The electric field of a positive z-traveling wave in a medium with relative dielectric constant of er 4 and with frequency of 2.5 GHz is given by Ex Eox cos(ot - kz) V/m. 1. a. Find the magnetic field if Eox 400,000 V/m. b. Determine the phase velocity and wavelength.
Problem 4: Time harmonic waves in lossy dielectric Start with Maxwell's equations and show that the electric field E(x, y, z, t) in a conductive material with conductivity σ satisfies the following wave equation a. 72 _ με.at? _ μσαί)F-0 b. Show that the following is a solution E(F, t)-(8 + 9) Eo e-kız cos(at-kez) where Eo is a constant and kR and k, are given by 0.5 w22 c. Obtain the direction of propagation for the wave in part...
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