a.) find the value of A using plane wave properties b.) Find the E field in...
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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...
(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.
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...
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A uniform plane wave with an electric field given by E(x, z.)- 9Eocos[V3x10°-(xt2) is obliquely incident at the interface located at z- 0 between two lossless dielectric media. The relativity permittivity permittivity corresponding expression for the magnetic field of the incident wave H(x, z, t). (c) Calculate the percentage of the incident power that will be transmitted across the interface. 82r of the second medium is 3. (a) What is the relativity Eir of...
2.In air, an electromagnetic uniform plane wave of frequency f 300MHz has the wave vector に"E[x+y] and a phasor electric field at the origin ofE> (1+))2. Find (give units): (a) phasor electric field in terms of rectangular coordinate variables (b) associated phasor magnetic field in terms of rectangular coordinate variables (c) time-averaged power density (or time-averaged Poynting vector) carried by the wave (d) time-averaged power carried by the wave through an area of a square that occupies the region Os...
(1) a uniform plane electromagnetic wave propagates in a lossless dielectric medium of infinite extent. the electric field in the wave has the instantaneous expression E(r,t) = (iz square root 3 - ix) (5/2) cos(6pi.10^8t - 3 square root 3piz - 3pix), V/m. 1) what is the wavelength of the wave in m? 2) what is the direction of propagation of the wave? 3) what is the relative refractive index of the dielectric medium? 4) what is the instantaneous expression...
Ē"(z)= 2a e 3x104) 1) A uniform plane wave is incident normally on an air-sea water interface at z=0. The phasor expression of the incident electric field intensity is: (V/m) The parameters of the sea-water are: E = 80€, (F/m), u = H (H/m)and o = 4(S/m). Find: a) The intrinsic impedance of medium (1) and medium (2). b) The reflection and transmission coefficients. c) The attenuation and phase constants in the second medium. d) The ratio of the sea-water...
3. (30 pts) The magnetic field of a uniform plane wave propagating in a lossless medium with 8=2 is 7 (x,t)= cos(3x10't +4x)â, - sin( 3x108t + 4x)â, (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...
(30 pts) The magnetic field of a uniform plane wave propagating in a lossless medium with x=2 is 7 (x,t) = cos(3x108t+4x)â, – sin( 3 x 108t+4x)â, (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...
) 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...