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Problem 3. 6 points total A plane EM wave propagates through a dielectric material characterized by...
Problem 3 (3 marks) 708.335.10-12 F/m, u = 1.25663706.10-6 H/m). A uniform plane wave propagates in...
Problem 3 (3 marks) 708.335.10-12 F/m, u = 1.25663706.10-6 H/m). A uniform plane wave propagates in seawater (o = 4 S/m, e = Page 1/2 frequencies: fi = 10 GHz and f2 = 100 kHz. (2.5 a) Find the propagation constant y, a and ß at two mark) b) If you were to send a signal in seawater, which frequency would you choose? Why? (0.5 mark)
Problem 3 (3 marks) 708.335.10-12 F/m, u = 1.25663706.10-6 H/m). A uniform plane wave...
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.
(1) a uniform plane electromagnetic wave propagates in a lossless dielectric medium of infinite extent. the...
(1) a uniform plane electromagnetic wave propagates in a lossless dielectric medium of infinite extent. the electric field in the wave has the instantaneous expression E(r,t) = (iz square root 3 - ix) (5/2) cos(6pi.10^8t - 3 square root 3piz - 3pix), V/m. 1) what is the wavelength of the wave in m? 2) what is the direction of propagation of the wave? 3) what is the relative refractive index of the dielectric medium? 4) what is the instantaneous expression...
A uniform plane wave with frequency 2 GHz propagates in non-magnetic material with &,-3 and σ 0.1...
A uniform plane wave with frequency 2 GHz propagates in non-magnetic material with &,-3 and σ 0.1 S /m. (a) Determine the loss tangent of the material. (b) The propagation constant (phase constant) and the attenuation constant. (c) What is the materials wave impedance (intrinsic impedance) (d)The wavelength, phase velocity, and the skin depth (e) If the E-field amplitude at z-0 is 20V/m, what will be the E-field amplitude after propagation a distance of 1.5 m? (f) What is the...
I. (a) A uniform plane wave in air is incident on a lossless dielectric at an angle of 45 as shown in Fig.a. The transmitted wave propagates in a 30° direction with respect to the normal. The frequen...
I. (a) A uniform plane wave in air is incident on a lossless dielectric at an angle of 45 as shown in Fig.a. The transmitted wave propagates in a 30° direction with respect to the normal. The frequency is 300MHz. Find &2 in terms of g (b) A uniform plane wave is incident in a lossless dielectric with ε2 range of incident angles does transmission occur. 4e as shown in Fig . For what 2. e p
I. (a) A...
4- A linearly polarized uniform plane wave propagates in seawater. The material constants for sea water...
4- A linearly polarized uniform plane wave propagates in seawater. The material constants for sea water are ε,-72, μ,-1, σ = 4 %n a) Write the time domain expression of the electric field E(t) if the peak amplitude is 100 V/m, and the frequency is f 100kHz. The wave propagates in the tx direction, and the field is oriented in the +z direction. itin omineei
kr ky (4) A plane EM wave with frequency o propagates in vacuum and approaches a...
kr ky (4) A plane EM wave with frequency o propagates in vacuum and approaches a dielectric interface (permittivity &, permeability u and refractive index n) at an angle of incidence Oi with its electric field parallel to the plane of incidence. If the incident E and B fields are of the form E(r, t) = Eel(k.r-wt) and B(r,t) = -K XE 'By (a) Write the boundary conditions satisfied by the fields at the interface (b) Derive the reflection and...
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...
4. (20 points) A wave is propagating in a lossy dielectric with ly = 1.6, Er...
4. (20 points) A wave is propagating in a lossy dielectric with ly = 1.6, Er = 4.3, and o = 0.019 S/m at a frequency f= 2.7 GHz. The phasor representation of E field is given by Exs = 610e j30º e-(a+jB)z V/m (a) Find a, b, a,v,n. (b) Find the phasor representation for H field, i.e., Hys. (c) Find the equation of E(z ,t). (d) Find the value of E(z, t) at z= 1.2m, t = 10 ns....
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...
Problem 3 (3 marks) 708.335.10-12 F/m, u = 1.25663706.10-6 H/m). A uniform plane wave propagates in seawater (o = 4 S/m, e = Page 1/2 frequencies: fi = 10 GHz and f2 = 100 kHz. (2.5 a) Find the propagation constant y, a and ß at two mark) b) If you were to send a signal in seawater, which frequency would you choose? Why? (0.5 mark)
Problem 3 (3 marks) 708.335.10-12 F/m, u = 1.25663706.10-6 H/m). A uniform plane wave...
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.
A uniform plane wave with frequency 2 GHz propagates in non-magnetic material with &,-3 and σ 0.1 S /m. (a) Determine the loss tangent of the material. (b) The propagation constant (phase constant) and the attenuation constant. (c) What is the materials wave impedance (intrinsic impedance) (d)The wavelength, phase velocity, and the skin depth (e) If the E-field amplitude at z-0 is 20V/m, what will be the E-field amplitude after propagation a distance of 1.5 m? (f) What is the...
I. (a) A uniform plane wave in air is incident on a lossless dielectric at an angle of 45 as shown in Fig.a. The transmitted wave propagates in a 30° direction with respect to the normal. The frequency is 300MHz. Find &2 in terms of g (b) A uniform plane wave is incident in a lossless dielectric with ε2 range of incident angles does transmission occur. 4e as shown in Fig . For what 2. e p
I. (a) A...
4- A linearly polarized uniform plane wave propagates in seawater. The material constants for sea water are ε,-72, μ,-1, σ = 4 %n a) Write the time domain expression of the electric field E(t) if the peak amplitude is 100 V/m, and the frequency is f 100kHz. The wave propagates in the tx direction, and the field is oriented in the +z direction. itin omineei
kr ky (4) A plane EM wave with frequency o propagates in vacuum and approaches a dielectric interface (permittivity &, permeability u and refractive index n) at an angle of incidence Oi with its electric field parallel to the plane of incidence. If the incident E and B fields are of the form E(r, t) = Eel(k.r-wt) and B(r,t) = -K XE 'By (a) Write the boundary conditions satisfied by the fields at the interface (b) Derive the reflection and...
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...
4. (20 points) A wave is propagating in a lossy dielectric with ly = 1.6, Er = 4.3, and o = 0.019 S/m at a frequency f= 2.7 GHz. The phasor representation of E field is given by Exs = 610e j30º e-(a+jB)z V/m (a) Find a, b, a,v,n. (b) Find the phasor representation for H field, i.e., Hys. (c) Find the equation of E(z ,t). (d) Find the value of E(z, t) at z= 1.2m, t = 10 ns....
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...
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