Explain how the attenuation constant value is an important factor for propagation of a transverse electromagnetic wave in a medium. (5 marks)
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In a medium characterised by a = 0,4 = Ho,€, an electromagnetic wave is described by; E = Em sin(wt -ky) a, V/m a) find an expression for; (1 marks) ii. B (5 marks) b) Sketch E and Hatt=0. (3 marks) c) The electromagnetic wave enters a region and propagates such that; i. D Em = 50 V /m, do = 2mx10? rad/s, k = 5 i. State the direction of wave propagation ii. Compute the period T, velocity v...
(20 Marks) 5.,) A wave is transmitted through an antenna with a frequency of 100 MHE, is travelling in a lossle having the relative permittivity(E,) and relative permeability (ur), 18 and 1 respectively, Determine; a. Attenuation factor b. Phase shift constant c. Velocity of propagation (5 Marks) (5 Marks) (3 Marks
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
2A uniform electromagnetic plane wave is normally incident norm the air region (medium #1 with intrinsic medium (medium #2 with intrinsic k,- and wavenumber k ) upon the planar interface separating air from a lossy dielectric impedance 'h-%(I + J) and wavenumber (1-)).The incident plane wave in air has a phasor electric field given by 2. Find (leave all answers in terms ofm: (a) value of the wavenumber in air, ko (b) attenuation constant α and phase constant β (c)...
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.
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...
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)....
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)....
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...
2. An electromagnetic plane wave is specified (in SI units) by E = (-68 + 3V59)et(v 3x+y)sx 10.9.42 x 1015t] Find (a) the polarization direction and amplitude of the electric field, (b) the wave propagation direction, (c) the propagation constant and the wavelength, (d) the frequency and the angular frequency, and (e) the phase velocity.
2. An electromagnetic plane wave is specified (in SI units) by E = (-68 + 3V59)et(v 3x+y)sx 10.9.42 x 1015t] Find (a) the polarization direction...