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Page 3 of 5 3. The magnetic field intensity of a uniform plane wave, in a...
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...
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 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.
The electric field intensity of a uniform plane wave in a medium, σ=0, ε=ε0εr, μ=μ0 is: E= 12 sin(2pi x 10^7t - 3y)az V/m (a) Determine the polarization of the wave. (b) Find the frequency. (c ) Calculate εr. (d) Obtain the magnetic field intensity H.
(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...
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...
10.44 The electric field component of a uniform plane wave traveling in seawater (o = 4 S/m, & 81 8 M = Mo) is E = 8e - 0.12 cos (wt - 0.3z)a, V/m (a) Determine the average power density. (b) Find the depth at which the power density is reduced by 20 dB.
The complex amplitude and polarization of the electric field intensity and magnetic field intensity of a uniform plane wave operating at 1 GHz is l 100e-丿4a -and | 10.63eTa'l- respectively. The wave propagates through a medium with the following properties: 4 × 10-7 ,e = 14.2 × 10-9 , σ = 0 . Determine the following: a. Electric field intensity in phasor form. b. Electric field intensity in real instantaneous form. m m m c. Wave impedance
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).