Electric and Magnetic field propagation
An electric field propagating in a lossless non-magnetic media is characterized by
\(E(y, t)=100.0 \cos \left(4 \pi \times 10^{6} \mathrm{t}-0.1257 \mathrm{y}\right) \mathrm{a}_{\mathrm{z}} \frac{\mathrm{V}}{\mathrm{m}}\)
Find the wave amplitude, frequency, propagation velocity, wavelength, and the relative permittivity of the media. (b) Find \(\mathrm{H}(y, t)\).
Homework Answers
Magnetic field propagation in free space
A magnetic field propagating in free space is given by$$ H(z, t)=20 . \sin \left(\pi \times 10^{8} \mathrm{t}+\beta \mathrm{z}\right) \mathbf{a}_{x} \frac{\mathrm{A}}{\mathrm{m}} $$Find \(f, \lambda\)
Please show steps We have that the instantaneous magnetic field H of a wave propagating in...
Please show steps
We have that the instantaneous magnetic field H of a wave propagating in 5. lossless linear, homogeneous, isotropic, (LHI) material that is charge free, non-magnetic Ho) and has a dielectric relative permittivity of e, The instantaneous representation of the magnetic field intensity is given as; H 25 cos(T x 10e + 0.5ry) uA/m (a) Is this wave a uniform plane wave? If so, explain which plane, and why, or wity not, is te wave uniform. Which direction...
(c) Consider the uniform plane wave is propagating in gasoline with amplitude of the electric field...
(c) Consider the uniform plane wave is propagating in gasoline with amplitude of the electric field intensity is 20V/m. The input frequency of the wave is ranging from 745-835MHz with 45 interval and the material is assumed to be lossless. Identify the amplitude of the magnetic field intensity and the velocity of the propagation at each frequency. Review your findings. [12 Marks] - End of Questions -
A propagating electric field is given by 100e -0.1z COS E (z, t) V/m T x...
A propagating electric field is given by 100e -0.1z COS E (z, t) V/m T x 10' tTZ : (a) Determine the attenuation constant, the wave frequency, the wavelength, the propagation velocity, and the phase shift. (b) How far must the wave travel before its amplitude is reduced to 1.0 V/m?
Probelm 8.4 Consider a uniform plane wave propagating in a lossy, non-magnetic biological tissue characterized by...
Probelm 8.4 Consider a uniform plane wave propagating in a lossy, non-magnetic biological tissue characterized by com- plex relative permittivity er -er - je?. The instantaneous electric field is given by: E(,t) 0.5e-39v cos(1.83T x 10°t - 141y) (V/m) (a) Determine є,-er-je. (b) Compute the intrinsic impedance e of the biological tissue. Then find the corresponding instantaneous magnetic field H(,t) (c) Find the time-average Poynting vector Sav. Use MATLAB to plot its magnitude for 0 < y < 6 (cm).
Please solve as quickly as possible. 2. The electric field of a plane wave propagating on...
Please solve as quickly as possible.
2. The electric field of a plane wave propagating on a lossless, non magnetic, dielectric material with Er = 2.56 is given by Ē (zt) (Swoºt –52) ay, Lyun? 20.00 Determine: 2.1. This woue vele velocity, a 2.2. the wave wavelength a in this medium 2.3. #ke usave ии илег уу? 2.4. the intrinsic impedance of the medium, m. 2.5. the magnetic intensity vector Fr(2, ) HINT: UT FAPT DEVE t (2,+) = Hoed2...
(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.
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...
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...
Please show steps
We have that the instantaneous magnetic field H of a wave propagating in 5. lossless linear, homogeneous, isotropic, (LHI) material that is charge free, non-magnetic Ho) and has a dielectric relative permittivity of e, The instantaneous representation of the magnetic field intensity is given as; H 25 cos(T x 10e + 0.5ry) uA/m (a) Is this wave a uniform plane wave? If so, explain which plane, and why, or wity not, is te wave uniform. Which direction...
(c) Consider the uniform plane wave is propagating in gasoline with amplitude of the electric field intensity is 20V/m. The input frequency of the wave is ranging from 745-835MHz with 45 interval and the material is assumed to be lossless. Identify the amplitude of the magnetic field intensity and the velocity of the propagation at each frequency. Review your findings. [12 Marks] - End of Questions -
A propagating electric field is given by 100e -0.1z COS E (z, t) V/m T x 10' tTZ : (a) Determine the attenuation constant, the wave frequency, the wavelength, the propagation velocity, and the phase shift. (b) How far must the wave travel before its amplitude is reduced to 1.0 V/m?
Probelm 8.4 Consider a uniform plane wave propagating in a lossy, non-magnetic biological tissue characterized by com- plex relative permittivity er -er - je?. The instantaneous electric field is given by: E(,t) 0.5e-39v cos(1.83T x 10°t - 141y) (V/m) (a) Determine є,-er-je. (b) Compute the intrinsic impedance e of the biological tissue. Then find the corresponding instantaneous magnetic field H(,t) (c) Find the time-average Poynting vector Sav. Use MATLAB to plot its magnitude for 0 < y < 6 (cm).
Please solve as quickly as possible.
2. The electric field of a plane wave propagating on a lossless, non magnetic, dielectric material with Er = 2.56 is given by Ē (zt) (Swoºt –52) ay, Lyun? 20.00 Determine: 2.1. This woue vele velocity, a 2.2. the wave wavelength a in this medium 2.3. #ke usave ии илег уу? 2.4. the intrinsic impedance of the medium, m. 2.5. the magnetic intensity vector Fr(2, ) HINT: UT FAPT DEVE t (2,+) = Hoed2...
(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.
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...
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...
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