Concept explainers
A propagating electric field is given by
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Chapter 4 Solutions
Fundamentals of Electromagnetics with Engineering Applications
- The plane wave with a frequency of 3 GHz has a relative dielectric constant of 2.5, a loss tangent of 0.05, and travels in a non-magnetic medium. What is the impedance value of the wave? 238 Ohm 377 Ohm 120 Ohm 150 Ohmarrow_forwardQ1/The complex magnetic field of a uniform plane wave is given by. 108 Hm (ax-jaz)ely 120m b) Find the polarization of the wave b) State the direction of rotation. Justify your answer.arrow_forwardAn electromagnetic wave of the form E = 2 Sin(kx – wt)î B Cos(kx – wt)j travels though a media with & = 2 l =1 at 9Hz. At x=1 and t=0 what is the what is the instantaneous Poynting Vector?arrow_forward
- The wavelength of a sinusoidal plane electromagnetic wave propagating in +y direction in vacuum is 6 x 10- m. If the amplitude of the electric field component of the wave is (9 V/m)E, what is the magnitude and the direction of the magnetic field component?arrow_forwardThe plane wave with a frequency of 3 GHz has a relative dielectric constant of 2.5, a loss tangent of 0.05, and travels in a non-magnetic medium. What is the distance the wave's amplitude will be halved? 2.44 cm 2.5 cm 24.4 cm 27.7 cm 2.5 metersarrow_forwardA planar electromagnetic wave is propagating in the +x direction. At a certain point P and at a given instant, the electric field of the wave is given by E= (0.082 V/m) j. What is the Poynting vector at the point P at that instant? (c 3.0 x 10* m/s, po= 4x x 107 T m/A,£o 8.85 x 1012 C/N m2)arrow_forward
- Homework : Derive an expression for the the wave equation in terms of H and E, when the wave is travelling in the z-axis direction?arrow_forwardTwo antennas located at points A and B are broadcasting radio waves of frequency 96 MHz. The signals start in phase with each other. The two antennas are separated by a distance d=11.2 m. An observer is located at point P on the x axis, a distance x=97 m from antenna A. The points A, P and B form a right triangle. A) What is the phase difference between the waves arriving at P from antennas A and B? Enter your answer in radians (rad). 1.2957 rad (correct) B) Now observer P walks along the x axis toward antenna A. What is P's distance from A when they first observe fully constructive interference between the two waves? 20.0704 m (incorrect) C) If observer P continues walking until they reach antenna A, at how many places along the x axis (including the place you found in the previous problem) will they find maxima in the radio signal due to constructive interference? 4 (incorrect) Can you please help with parts B and C.arrow_forwardThe magnetic field of a wave propagating through a certain nonmagnetic material in the negative z direction has an amplitude of 45mA/m and a frequency of 10° Hz. If the wave is polarized on the positive x direction and the phase velocity of the wave is 10°m/s. Assume the initial phase is 30°. Find the wave number. Select one: O a. The wave number is: 67 O b. The wave number is: 2T O c. The wave number is: 2.5 O d. The wave number is: 7.6arrow_forward
- A plane wave with a frequency of 100 MHz propagates in a good dielectric medium. Electric field expression in the phasor domain Es = x 4e-0.5ze-20j V/m. Since the following determine: (a) Dielectric constant? (b) Missing tangent? (c) Magnetic field vector? (d) Power density vector?arrow_forwardThe plane wave with a frequency of 3 GHz has a relative dielectric constant of 2.5, a loss tangent of 0.05, and travels in a non-magnetic medium. What is the phase constant of the wave?arrow_forwardMagnetic field intensity of a propagating wave in free space is given by H=0.3 cos(4*10°t+ 2y) ax V/m the plot of H versus y at time, t = T/4 None of these 4H F0.3 4H 0.3-arrow_forward
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