2. An electromagnetic wave travels through a material with n = 173.21 + j100 at a...
An Electromagnetic Wave A sinusoidal electromagnetic wave of frequency 43.0 MHz travels in free space in the x-direction as in the figure. At some instant, a plane electromagnetic wave moving in the x direction has a maximum electric field of 725 N/C in the positive y direction. (a) Determine the wavelength and period of the wave. SOLUTION plane. Conceptualize Imagine the wave in the figure moving to the right along the x-axis, with the electric and magnetic fields oscillating in...
8. In a lossless Eq, λ and H. dielectric for which η,:20π, μ.-1,and E(z,t) 94πcos(wt +2z) a/m. Calculate 9. A plane wave in a lossless medium has H(z,t) 0.2 cos(ot-62)-y 2 sin(ot -6z) AV/m. Find a) The direction of wave propagating. b) εr and a. c) E(z,t). 10. The electric field component of an electromagnetic wave in free-space is given by E.z,t)Eocos(ay)sin wt -kx) V/rm (Hint: Use the identity 2 sin a cos b (sina+ b) +sin(a -b)) a) Find...
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)....
The electric field of an electromagnetic wave in vacuum is ] (,t) = 12.0 cos(x - m y + wt) Ê. a) Find the angular frequency. b) Find the magnetic field. c) Find the Intensity of the electromagnetic wave.
An electromagnetic wave with frequency 65.0Hztravels in an insulating magnetic material that has dielectric constant 3.64 and relative permeability 5.18 at this frequency. The electric field has amplitude 7.20
1) An electromagnetic plane wave travels in through a vacuum in the -y direction and has an angular frequency of w=2.15 x 1014 rad/s. Its electric field is along the x axis. a) What is the wavelength in um? b) What portion of the electromagnetic spectrum is this radiation? c) Write a general expression for the electric field as a function of space and time. Include the variables Emax, k and w d) What is the direction of the magnetic...
т The electric field of an electromagnetic wave in vacuum is Ē (ř,t) = 12.0 cos(x – y + wt) Ř. a) Find the angular frequency. b) Find the magnetic field. c) Find the Intensity of the electromagnetic wave.
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...