A uniform plane wave with frequency 2 GHz propagates in non-magnetic material with &,-3 and σ 0.1...
) 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...
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...
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...
1. A magnetic field, 7, propagates in a material with uy = 4 and &r=4 and is given by H=-v8cos(@t + Bx)+34 cos(@t + Bx). The frequency of operation is 8 GHz. Find: a) the wave number, , b) the phase velocity, vp, c) the intrinsic impedance of the material, n, d) the instantaneous (time domain) expression for the electric field, E.
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.
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
Electromagnetic plane waves in a lossy medium field of an electromagnetic plane wave traveling in a lossy medium can be written as 6. The where z is the distance, t is time, and f the frequency. For f 1 GHz, it is found by measurement that the amplitude of the electric field is attenuated by a factor of 3 after the wave travels 100 m (ie, to 130f the amplitude at z = 0 when it arrives at z-100 m)....
Problem 6. Electromagnetic plane waves in a lossy medium The electric field of an electromagnetic plane wave traveling in a lossy medium can be written as where z is the distance, t is time, and fthe frequency. For f 1 GHz, it is found by measurement that the amplitude of the electric field is attenuated by a factor of 3 after the wave travels 100 m (i.e., to 1/3 of the amplitude at z-0 when it arrives at z- 100...
2. (a) Consider the propagation of a plane electromagnetic wave in a conductor. Show that the wavenumber, k, as a function of a, is given by the dispersion relationship ex ωε ωε where σ is the conductivity, μ is the permeability and ε is the permittivity of the conducting medium. (Hint: start with Maxwell's equations, and develop an equation of the form, V" E -k 2 E ). (3 marks) (b) Write down an expression for the physical electrical field...
Problem 3 (3 marks) 708.335.10-12 F/m, u = 1.25663706.10-6 H/m). A uniform plane wave propagates in seawater (o = 4 S/m, e = Page 1/2 frequencies: fi = 10 GHz and f2 = 100 kHz. (2.5 a) Find the propagation constant y, a and ß at two mark) b) If you were to send a signal in seawater, which frequency would you choose? Why? (0.5 mark) Problem 3 (3 marks) 708.335.10-12 F/m, u = 1.25663706.10-6 H/m). A uniform plane wave...