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Problem 3 (3 marks) 708.335.10-12 F/m, u = 1.25663706.10-6 H/m). A uniform plane wave propagates in...
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...
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
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...
) 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...
10.59 A uniform plane wave propagates in a medium for which o 0, e 16e, u-....
10.59 A uniform plane wave propagates in a medium for which o 0, e 16e, u-. The electric field in the medium is E 60cos(wt - Bz)a, V/m where 90 Mrad/s. If the wave hits free space normally at z = 0, determine the power densities in both media.
The electric field of a uniform plane 7.11 propagating wave in free space is given by...
The electric field of a uniform plane 7.11 propagating wave in free space is given by (V/m) E — (* + ј9)30е јл:/6 Specify the modulus and direction of the electric field intensity at the z 0 plane at t0, 5, and 10 ns 7.18 Dry sol is characterized by e 2.5, r = 1, and 104 (S/m) determine if dry soil may be considered a good conductor quasi-conductor, or a low-loss dielectric, and then calculate a В, А, мр,...
Question No 1: (40) A y-polarized uniform plane wave (E,,H) with 100 MHz frequency propagates in...
Question No 1: (40) A y-polarized uniform plane wave (E,,H) with 100 MHz frequency propagates in air and impinges normally on a perfectly conducting plane at x = 0. Assuming the amplitude of E, to be 6 mV/m, write the phasor and instantaneous expressions for: (a) E, and H of the incident wave (b) E, and H, of the reflected wave (c) E, and H, of the total wave in air (d) Determine the location, nearest to the conducting plane,...
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...
Problem 3. 6 points total A plane EM wave propagates through a dielectric material characterized by...
Problem 3. 6 points total A plane EM wave propagates through a dielectric material characterized by Er = 100, Hr=1 and o = 1 S/m at 1 GHz. Let H = 10 e-Yzą mA/m and find: a) a b) B c) v d) a e) P (1 points) (1 points) (1 points) (1 points) (2 points)
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...
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
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...
) 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...
10.59 A uniform plane wave propagates in a medium for which o 0, e 16e, u-. The electric field in the medium is E 60cos(wt - Bz)a, V/m where 90 Mrad/s. If the wave hits free space normally at z = 0, determine the power densities in both media.
The electric field of a uniform plane 7.11 propagating wave in free space is given by (V/m) E — (* + ј9)30е јл:/6 Specify the modulus and direction of the electric field intensity at the z 0 plane at t0, 5, and 10 ns 7.18 Dry sol is characterized by e 2.5, r = 1, and 104 (S/m) determine if dry soil may be considered a good conductor quasi-conductor, or a low-loss dielectric, and then calculate a В, А, мр,...
Question No 1: (40) A y-polarized uniform plane wave (E,,H) with 100 MHz frequency propagates in air and impinges normally on a perfectly conducting plane at x = 0. Assuming the amplitude of E, to be 6 mV/m, write the phasor and instantaneous expressions for: (a) E, and H of the incident wave (b) E, and H, of the reflected wave (c) E, and H, of the total wave in air (d) Determine the location, nearest to the conducting plane,...
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.
Problem 3. 6 points total A plane EM wave propagates through a dielectric material characterized by Er = 100, Hr=1 and o = 1 S/m at 1 GHz. Let H = 10 e-Yzą mA/m and find: a) a b) B c) v d) a e) P (1 points) (1 points) (1 points) (1 points) (2 points)
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