proper stepwise solution is given above.
Kindly comment for any assistance.
Kindly ? to support teachers.
[6 pts] Given: Assume you have an infinite medium where o =0, € = to, and...
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...
The magnetic field of a uniform plane wave propagating na dielectric medium with e 36 is given by Specify the modulus and direction of the electric field intensity at the x = 0 plane at t = 0 and 5 ns. The magnetic field of a uniform plane wave propagating na dielectric medium with e 36 is given by Specify the modulus and direction of the electric field intensity at the x = 0 plane at t = 0 and...
Assume that a medium has ε.9εο, σ-0.1 S!m, and μ. μο. A uniform plane wave at 6 GHz propagates in this medium in the direction. Find the ratio of the electric field magnitudes at x 0 and x-2 m. Also, find the phase difference between electric fields at these points. Assume that a medium has ε.9εο, σ-0.1 S!m, and μ. μο. A uniform plane wave at 6 GHz propagates in this medium in the direction. Find the ratio of the...
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...
The electric field of a plane wave propagating in a nonmagnetic medium is given by Ē = 34 e-1,0y cos (21 x 10°t – 25y)ā, V/m. Find the relative permittivity of the medium. (Enter at least three digits after the decimal separator in your answer) Yanit:
5) (20pts) A plane EMW with an whose characteristic values are e, reflection and transmission coefficients, c) Find electric field and magnetic field components of the reflected field, d) Find the power components of the reflected and transmitted wave clectric field component given by E = a,2 x 10-3e iz is propagating through a medium 4 and A, 1 in the normal direction. A) Find its magnetic field component, b) Find Bonus (Each is worth 7.5 pts) a) Derive the...
10.59 A uniform plane wave propagates in a medium for which o 0, e 16e, u-. The electric field in the medium is E 60cos(wt - Bz)a, V/m where 90 Mrad/s. If the wave hits free space normally at z = 0, determine the power densities in both media.
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)....
(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...
6. (15 points) In region I (z<0), there is a medium with o = 0 and 41,1 = 1. In region II (z>0), there is a medium with o = () and 4,2 = 1. An incident wave is in +z direction in region I. Find Er2 / €, if 10% of the energy in the incident wave is a. Reflected