The complex amplitude and polarization of the electric field intensity and magnetic field intensity of a...
) 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...
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...
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.
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...
424· The complex electric field of a uniform 4.26. In a source-free, free-space region, the plane wave is given by complex magnetic field of a time-harmonic field is represented by (a) Find the polarization of the wave (lin- ear, circular, or elliptical) (b) Determine the sense of rotation (clock wise or counterclockwise). (c) Sketch the figure the electric field where EO is a constant and Po is the intrin- sic impedance of free space. Determine the: (a) Polarization of the...
A uniform sinusoidal plane wave in air with the following phasor expression for electric intensity is incident on a perfectly conducting plane at z -0. a) Determine the polarization of the wave (with respect to incidence plane). A uniform sinusoidal plane wave in air with the following phasor expression for electric intensity is incident on a perfectly conducting plane at z -0. a) Determine the polarization of the wave (with respect to incidence plane).
4. A uniform plane wave (E, H) with a frequency of 3 GHz travels in the +z direction in a lossless medium with ε,,-4 and μ,,-1. The electric field is polarized in the x-direction. The wave impinges normally on another lossless mediumn in region 2, z >0, where ε,2-9 and μ: 1 . The amplitude of the incident electric field is 100 V/m. Write phasor and instantaneous expressions for: (İ) E, and ill of the total wave in medium 1....
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...
1) The electric field intensity of a uniform plane wave propagating in a medium for which 4, = 1 is given by E = 40 e 20 cos(2 + x108 + – 30 y)a. V/m. Find: a) The direction of propagation. b) The phase constant c) The magnetic field intensity in instantaneous form (Don't use Maxwell's equations) 2) Write the equation you may use to plot the dependence of skin depth on frequency for seawater ( 11, = 1, 8,...
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...