(1) Would a wave of a given frequency trav- elling in a plasma medium with the...
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...
blem 6. Electromagnetic plane waves in a lossy medium tric field of an electromagnetic plane wave traveling in a lossy medium can be written as The where z is the distance, t is time, and fthe frequency. Forf- 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 1/3 of the amplitude at: 0 when it arrives at : -100 m)....
3.A uniform electromagnetic plane wave is normally incident from the air region ( medium #1 with+ η = η。= 120π ) upon the planar interface separating air from a lossy dielectric medium (medium #2 with intrinsic impedance 20π + jlOr ). The incident plane wave in air has a phasor electric field given by E(x)-le, x<0 Find: (a) the frequency f (Hertz) (b) the magnitude and the phase of the reflected phasor electric field E as a function of coordinates...
6.) A wave is transmitted through an antenna with a frequency of 100 MHz, is travelling in a lossless medium (5 Ma (5 Mar (3 Ma having the relative permittivity(Er) and relative permeability (),18 and 1 respectively, Determine; a. Attenuation factor b. Phase shift constant c. Velocity of propagation
For Problems 7 to 12: Electric field in a uniform medium is given as E =n. (3î +49) cos(3x10* rt - k :)+7 (& + 2 ) cos(6x10*x+ +187y) Notice that these two waves are at different frequencies and they propagate in different directions. Permeability of the medium is given as 4 = 44 Problem 171<5 points> Calculate the relative permittivity of this medium. Problem [8] <5 points> Calculate the intrinsic impedance of this medium. Problem 191 <5 points Calculate...
Problem 5 (20pts). The magnetic field of an electromagnetic wave propagating in free space is given by: H(R,6,t) = (@0.2653 + $0.5305) sinėsin(wt – kR), Ho = 41 x 10-7 (H/m), €, = 8.85 x 10-12 (F/m). Frequency of 150 x 106 Hz Hint: useĚ = 1vx jw Find: a) Ễ (R,Q) and E(R,6,t), Let în component equal zero b) value of k Problem 5 (20pts). The magnetic field of an electromagnetic wave propagating in free space 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...
A transverse wave with an amplitude of 6 m, a frequency f=6.7 Hz , and a wavelength λ=6 m is traveling down a taut string. If the wave equation describing the displacement of the string at position x and time t is given by y(x,t)=Asin(kx−ωt) a.) what are the parameters A, k, and ω? b.) What is the speed of the wave traveling down the wire? m/s c.) If the tension in the wire is measured to be 6 N,...
What are the answers and how did you get to the answers? Consider the electromagnetic wave shown in the diagram. The wave is propagating through a vacuum along the z-axis. The electric field of the wave is parallel to the y-axis. It is a sine wave of amplitude 15 V/m. The accompanying magnetic field is parallel to the x-axis. See Figure (which is a snapshot at a particular instant) 23 cm 2 6) What is the frequency fof this electromagnetic...