4. (20 points) A wave is propagating in a lossy dielectric with ly = 1.6, Er...
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).
Consider the following expression corresponding to the phasor representation of the electric field of a electromagnetic plane wave propagating througlh a low loss dielectric ("good dielectrie") with e, 4: E -(&-) - iv22) e-(0.01+ (=+y V/m Determine: a) The direction of propagation of the wave. b) The frequency. e The velocity of propagation. 2 d) The loss tangent of the dielectric. e) The type of polarization and the sense of rotation (if proceeds). Make a two-dimensional plot with the figure...
A uniform plane wave in a lossy nonmagnetic medium of dielectric constant &2.3 is described by 0s t-3.40a, v/m. E(z,t)-1 0e-02: cos(9% 108 t _ 3. 4z)a, +24e cos(9x1 (a) (b) (c) Calculate the intrinsic impedance n. (3 marks) Determine H(z,t). (1 marks) Find the displacement current density Ja (3 marks)
(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. (10 points) A uniform plane wave is propagating at a velocity of 1.6x108 m/s in a perfect dielectric. The E wave and H wave are given respectively by Ez,t) = 780 cos(277 1.5 108t - Bz) a, V/m H(z,t) = 2.9 cos(211 X 1.5 x 108t – Bz) ay A/m Find (a) B (b) 2 (c)n (d) Mr (e) Er
Electromagnetic Waves 2 1 2 3 4 A plane monochromatic electromagnetic wave with wavelength 1 = 2.6 cm, propagates through a vacuum. Its magnetic field is described by B = (B,i+Byj) cos(kx + wt) where B, = 2.7 x 10-6 T, B, - 5.9 X 106T, and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively. 1) What is f, the frequency of this wave? 0 GHz Submit 2) What is I, the intensity of...
The electric field intensity of a smooth plane wave spreads into the ocean (er = 76, ur = 1,0 = 4 S/m) in the direction (-2). Electric field strength on the surface of the ocean (z = 0) H (0, t) = -ây2cos (81106t +13) (A / m) is given. a) Determine the skin thickness and the impedance of the ocean water. b) Find the expressions E (z, t) and H (z, t) in the ocean. c) Find the power...
5. In a lossless nonmagnetic medium with er = 4, E(y,t) = 20 cos(108nt +By+)a, V/m Find the following: (a) Direction of propagation and the wave length , Speed of propagation of the wave and propagation constant, B, attenuation constant, (b) using the Maxwell's equation, find the magnetic field intensity H(y,t) (c) phase angle between the E and H fields.
of an electromagnetic wave propagating in a vacuum is 65 x 10 Hz. See the table for problem 1 1) To what part of the electromagnetic spectrum does this wave a) blue light 2) The electromag a)perpendicular to b) parallel to the the magnetic field b) green light netic field of the electromagnetic wave is d) violet light c) antiparallel to the d) paralel to the wave velocity magnetic field magnetic field The speed of light in a medium is...