This is a electromagnetic
waves quetions. Please show all work and explain all answers.
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This is a electromagnetic
waves quetions. Please show all work and explain all answers.
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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...
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)....
Find the intensity of reflected and transmitted waves through an interface between two linear non-conducting media...
Find the intensity of reflected and transmitted waves through an interface between two linear non-conducting media in terms of the intensity of the incident wave and the indices of refraction of the two media. Note: To do this, suppose a plane wave of frequency ω and electric field polarization in the x direction is traveling in the positive z direction. The wave approaches the interface between two media on the xy plane from left. Write complex waves equations for the...
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...
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...
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....
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. 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 (ie, to 130f the amplitude at z = 0 when it arrives at z-100 m)....
) 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...
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...
1. Suppose two plane waves of light with electric field amplitudes E1 and E2 arrive at...
1. Suppose two plane waves of light with electric field amplitudes E1 and E2 arrive at a detector at time t having travelled different distances z1 and z2. Assume the field vectors have the same polarization direction p. The fields of the two plane waves at the detector individually are Eipcos(ot - kzi) and E.pcos(at-kz2 ) . Here the wavenumber is k-2πίλ and the angular frequency is ω ck-2πο:/v , where λ is the wavelength, с is the speed, and...
Electromagnetic Waves 1 2 3 468 The magnetic field in a plane monochromatic electromagnetic wave with...
Electromagnetic Waves 1 2 3 468 The magnetic field in a plane monochromatic electromagnetic wave with wavelength 1 = 674 nm, propagating in a vacuum in the z-direction is described by B= (Bộ sin(kz - t) (+3) where B, = 4.8 X 10-6 T, and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively. 1) What is k, the wavenumber of this wave? m1 Submit 2) What is Zmax, the distance along the positive Z-axis...
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...
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)....
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...
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...
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. 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 (ie, to 130f the amplitude at z = 0 when it arrives at z-100 m)....
) 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...
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...
1. Suppose two plane waves of light with electric field amplitudes E1 and E2 arrive at a detector at time t having travelled different distances z1 and z2. Assume the field vectors have the same polarization direction p. The fields of the two plane waves at the detector individually are Eipcos(ot - kzi) and E.pcos(at-kz2 ) . Here the wavenumber is k-2πίλ and the angular frequency is ω ck-2πο:/v , where λ is the wavelength, с is the speed, and...
Electromagnetic Waves 1 2 3 468 The magnetic field in a plane monochromatic electromagnetic wave with wavelength 1 = 674 nm, propagating in a vacuum in the z-direction is described by B= (Bộ sin(kz - t) (+3) where B, = 4.8 X 10-6 T, and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively. 1) What is k, the wavenumber of this wave? m1 Submit 2) What is Zmax, the distance along the positive Z-axis...
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