The electric field of a positive z-traveling wave in a medium with relative dielectric constant of...
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)....
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 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...
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...
(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...
2. The electric field in a plane wave is described by the equation (k > 0): Ē(x,y,z,1)= E, sin(kz – mt)ị Answer the following questions about the wave. i. What direction is the wave traveling? Explain how you can tell from the equation for the electric field. ii. Write an expression for the magnitude of the magnetic field of the wave. iii. Calculate the average intensity of the wave if Eo = 3000 V/m. The MKS units of intensity are...
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...
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)