The electric field intensity in a dielectric medium (u = H0, ε = ε0εr,) is given by
E = 150 cos(109t + 8x) az V/m
Calculate:
(a) The dielectric constant, εr
(b) The intrinsic impedance
(c) The velocity of propagation
(d) The magnetic field intensity vector, H
(e) The Poynting vector (phasor form is also OK)
The electric field intensity in a dielectric medium (u = H0, ε = ε0εr,) is given by
The electric field intensity of a uniform plane wave in a medium, σ=0, ε=ε0εr, μ=μ0 is: E= 12 sin(2pi x 10^7t - 3y)az V/m (a) Determine the polarization of the wave. (b) Find the frequency. (c ) Calculate εr. (d) Obtain the magnetic field intensity H.
(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...
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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)...
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...
0.8T 7.2 If the electric field intensity in a source-free, dielectric medium is given as Determine the magnetic field intensity using Maxwell's equation from Taraday's law. What is the displacement current density in the medium? 0.8T 7.2 If the electric field intensity in a source-free, dielectric medium is given as Determine the magnetic field intensity using Maxwell's equation from Taraday's law. What is the displacement current density in the medium?
Please solve as quickly as possible. 2. The electric field of a plane wave propagating on a lossless, non magnetic, dielectric material with Er = 2.56 is given by Ē (zt) (Swoºt –52) ay, Lyun? 20.00 Determine: 2.1. This woue vele velocity, a 2.2. the wave wavelength a in this medium 2.3. #ke usave ии илег уу? 2.4. the intrinsic impedance of the medium, m. 2.5. the magnetic intensity vector Fr(2, ) HINT: UT FAPT DEVE t (2,+) = Hoed2...
3. A uniform plane electromagnetic wave with the time harmonic electric field intensity vector E' =ǐ10cos(cr-6m) (volts/meter) 46.μ.-Ha ) upon the is incident from the lossless medium I ( Ei 수x lossless half-space medium 2 (629 Find: 4o) (a) the wave numbers and intrinsic impedances of each medium expressed in terms of air parameters ko and巩; give formulas for these air parameters. (b) the phasor reflected and transmitted electric field intensities Leave answers (c) the phasor reflected and transmitted magnetic...
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
Q1.) A smooth plane propagated in dielectric environment is defined as the electric field intensity of the wave wwwwwwwwwwwwwwanaw wwwwwwwwwwwwwwwwwwww wwwwwwwwwwwwww WWW Ez, t) = a,cos(4x10°t+ c) + 1,4sin^4107t+ 3) (mVm) www a) Determine the frequency and wavelength of the wave. b) What is the dielectric constant of the medium? c) Explain the polarization of the wave. d) Find the accompanying alan magnetic field intensity.