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Question A2 [20 marks] Two plane waves are propagating in a linear dielectric material (ε-ε0G, μ-...
expression corresponding to the phasor representation of the electric field of a electromagnetic plane wave propagating through a low loss dielectric (“good dielectric”)
Consider the following expression corresponding to the phasor representation of the electric field
of a electromagnetic plane wave propagating througlh a low loss dielectric ("good dielectrie")
with e, 4:
E -(&-) - iv22) e-(0.01+ (=+y V/m
Determine:
a) The direction of propagation of the wave.
b) The frequency.
e The velocity of propagation.
2
d) The loss tangent of the dielectric.
e) The type of polarization and the sense of rotation (if proceeds).
Make a two-dimensional plot with the figure...
The magnetic field of a uniform plane wave propagating na dielectric medium with e 36 is given by Specify the modulus and direction of the electric field intensity at the x = 0 plane at t = 0 and...
The magnetic field of a uniform plane wave propagating na dielectric medium with e 36 is given by Specify the modulus and direction of the electric field intensity at the x = 0 plane at t = 0 and 5 ns.
The magnetic field of a uniform plane wave propagating na dielectric medium with e 36 is given by Specify the modulus and direction of the electric field intensity at the x = 0 plane at t = 0 and...
(30 pts) The magnetic field of a uniform plane wave propagating in a lossless medium with...
(30 pts) The magnetic field of a uniform plane wave propagating in a lossless medium with E,=2 is H(x,t) = cos(3x108t+4x)ā, – sin(3x10$t +4x)ā.(Alm). Find: (1) The phasor form expression for the magnetic field (2) The direction of propagation for the wave (3) The velocity Vp (4) The polarization state. If it is a circular polarization, you need to determine it is left or right handed. Provide details for your reasoning. (5) The average power density Sav.
3. (30 pts) The magnetic field of a uniform plane wave propagating in a lossless medium...
3. (30 pts) The magnetic field of a uniform plane wave propagating in a lossless medium with 8=2 is 7 (x,t)= cos(3x10't +4x)â, - sin( 3x108t + 4x)â, (Alm). Find: (1) The phasor form expression for the magnetic field (2) The direction of propagation for the wave (3) The velocity vp (4) The polarization state. If it is a circular polarization, you need to determine it is left or right handed. Provide details for your reasoning. (5) The average power...
(30 pts) The magnetic field of a uniform plane wave propagating in a lossless medium with...
(30 pts) The magnetic field of a uniform plane wave propagating in a lossless medium with x=2 is 7 (x,t) = cos(3x108t+4x)â, – sin( 3 x 108t+4x)â, (Alm). Find: (1) The phasor form expression for the magnetic field (2) The direction of propagation for the wave (3) The velocity vp (4) The polarization state. If it is a circular polarization, you need to determine it is left or right handed. Provide details for your reasoning. (5) The average power density...
1. The magnetic field of a wave propagating through a certain nonmagnetic material is given by...
1. The magnetic field of a wave propagating through a certain nonmagnetic material is given by H-x30cos(10%-0. Sy) (mA/m) Find the following: (a) The direction of wave propagation. (b) The phase velocity (c) The wavelength in the material. (d) The relative permittivity of the material (e) The electric field phasor 2. A 60-MHz plane wave traveling in the -x-direction in dry soil with relative permittivity &4 has an electric field polarized along the z-direction. Assuming dry soil to be approximately...
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...
Question 3 (12 points The electric field of a plane wave propagating in sea water with...
Question 3 (12 points The electric field of a plane wave propagating in sea water with (t.-80,-, a Determine the: (a) direction of the wave propagation, () atemation constant, (c) phih lc intrinsic impedance, (d) the wavelength, (e) the magnetic field H, () the distance at w field will drop to 1% of its initial value. which the electric
8-16 Two nonmagnetic dielectrics( μ: 1 ) have the same dielectric constant( ε.-2.25 ), but different conductivities( σ-O and G-50 [S/m). If a wave of a frequency 100 MHz) propagates in each diele...
8-16 Two nonmagnetic dielectrics( μ: 1 ) have the same dielectric constant( ε.-2.25 ), but different conductivities( σ-O and G-50 [S/m). If a wave of a frequency 100 MHz) propagates in each dielectric, compare the values of (a) β, (b) λ, and (c) up of the two waves. An electromagnetic plane wave propagating in a nonmagnetic dielectric has the instantaneous electric and magnetic field intensities given as 8-17 (z.t)- a,967.le" cos(1.5x10°t-Bz) and 'W(z, t) = ay 10e-az cos(1.5x10°t-Bz-0.7194) Determine (a)...
[132 2 2 3 4 17 marks] Question 4 A plane wave is travelling in a...
[132 2 2 3 4 17 marks] Question 4 A plane wave is travelling in a vacuum in the +z-direction with wavenumber k and angular frequency . It is linearly polarised in the x-direction, and has electric field given by E(t, z) Eo Cos(kz - wt)f This wave is normally incident on a perfectly electrically conducting, semi-infinite slab in the region z > 0 and the resulting field in vacuum (z < 0) is a superposition of the incident and...
The magnetic field of a uniform plane wave propagating na dielectric medium with e 36 is given by Specify the modulus and direction of the electric field intensity at the x = 0 plane at t = 0 and 5 ns.
The magnetic field of a uniform plane wave propagating na dielectric medium with e 36 is given by Specify the modulus and direction of the electric field intensity at the x = 0 plane at t = 0 and...
(30 pts) The magnetic field of a uniform plane wave propagating in a lossless medium with E,=2 is H(x,t) = cos(3x108t+4x)ā, – sin(3x10$t +4x)ā.(Alm). Find: (1) The phasor form expression for the magnetic field (2) The direction of propagation for the wave (3) The velocity Vp (4) The polarization state. If it is a circular polarization, you need to determine it is left or right handed. Provide details for your reasoning. (5) The average power density Sav.
3. (30 pts) The magnetic field of a uniform plane wave propagating in a lossless medium with 8=2 is 7 (x,t)= cos(3x10't +4x)â, - sin( 3x108t + 4x)â, (Alm). Find: (1) The phasor form expression for the magnetic field (2) The direction of propagation for the wave (3) The velocity vp (4) The polarization state. If it is a circular polarization, you need to determine it is left or right handed. Provide details for your reasoning. (5) The average power...
(30 pts) The magnetic field of a uniform plane wave propagating in a lossless medium with x=2 is 7 (x,t) = cos(3x108t+4x)â, – sin( 3 x 108t+4x)â, (Alm). Find: (1) The phasor form expression for the magnetic field (2) The direction of propagation for the wave (3) The velocity vp (4) The polarization state. If it is a circular polarization, you need to determine it is left or right handed. Provide details for your reasoning. (5) The average power density...
1. The magnetic field of a wave propagating through a certain nonmagnetic material is given by H-x30cos(10%-0. Sy) (mA/m) Find the following: (a) The direction of wave propagation. (b) The phase velocity (c) The wavelength in the material. (d) The relative permittivity of the material (e) The electric field phasor 2. A 60-MHz plane wave traveling in the -x-direction in dry soil with relative permittivity &4 has an electric field polarized along the z-direction. Assuming dry soil to be approximately...
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...
Question 3 (12 points The electric field of a plane wave propagating in sea water with (t.-80,-, a Determine the: (a) direction of the wave propagation, () atemation constant, (c) phih lc intrinsic impedance, (d) the wavelength, (e) the magnetic field H, () the distance at w field will drop to 1% of its initial value. which the electric
8-16 Two nonmagnetic dielectrics( μ: 1 ) have the same dielectric constant( ε.-2.25 ), but different conductivities( σ-O and G-50 [S/m). If a wave of a frequency 100 MHz) propagates in each dielectric, compare the values of (a) β, (b) λ, and (c) up of the two waves. An electromagnetic plane wave propagating in a nonmagnetic dielectric has the instantaneous electric and magnetic field intensities given as 8-17 (z.t)- a,967.le" cos(1.5x10°t-Bz) and 'W(z, t) = ay 10e-az cos(1.5x10°t-Bz-0.7194) Determine (a)...
[132 2 2 3 4 17 marks] Question 4 A plane wave is travelling in a vacuum in the +z-direction with wavenumber k and angular frequency . It is linearly polarised in the x-direction, and has electric field given by E(t, z) Eo Cos(kz - wt)f This wave is normally incident on a perfectly electrically conducting, semi-infinite slab in the region z > 0 and the resulting field in vacuum (z < 0) is a superposition of the incident and...
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