1. A magnetic field, 7, propagates in a material with uy = 4 and &r=4 and...
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...
) 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...
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...
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
n is specifeid to measure the learning outcome (e) he instantaneous expression for the magnetic field intensity is plane wave ina this question given by H (r)-4x10 cos(10'art_ßy + 4), A/m Determine a) T b) The wave phase constant β he instantaneous expression of electric field intensity ECt) 12pts 12pt
The complex amplitude and polarization of the electric field intensity and magnetic field intensity of a uniform plane wave operating at 1 GHz is l 100e-丿4a -and | 10.63eTa'l- respectively. The wave propagates through a medium with the following properties: 4 × 10-7 ,e = 14.2 × 10-9 , σ = 0 . Determine the following: a. Electric field intensity in phasor form. b. Electric field intensity in real instantaneous form. m m m c. Wave impedance
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...
(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...
A UPEMW propagating in an infinite lossless dielectric medium has the following instantaneous expression for its magnetic field component: H(r,t) = -iy2 sin(6π x 108t - 20πz + 300), A/m. Find: the frequency f of the wave in Hz the wavelength λ of the wave in m the phase velocity vph of the wave the group velocity vg of the wave the relative refractive index nr of the dielectric medium the unit vectors iE, iHand ik the phasor expression for...
**Please Show All The Steps** 2.) Give the frequency domain of both experssion. 3.) Find the time average power. 1. Find the time time-domain expression for the electric and magnetic fields of a plane wave that has a frequency of 8 GHz and propagates in air in the direction 1/V5x(-2ż) Assume the H field has only a y-component and a magnitude of 10 A/m.