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A 600-MHz uniform plane wave incident in the z direction on a thick slab of Teflon
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Chapter 5 Solutions
Fundamentals of Electromagnetics with Engineering Applications
- Question 5 A plane wave propagate through a lossless medium with &r=3 and ur=1, the magnitude of the magnetic field of this wave is give by: H(z,t) = 4 cos(4x 107 t - Bz) A/m The velocity of this wave is 1.73 x 108 m/s 3x 108 m/s 0.23 x 108 m/s 2.18 x 108 m/sarrow_forwardThe electric field amplitude of a uniform plane wave propagating in the az, direction is 250V/m. IF E = Exay and w = 1.0Mrad/s, find the;a. Frequencyb. period andc. amplitude of magnetic field intensity H.μo= 1.2566 x 10^-6 H/m; εo = 8.854 x 10^-12 F/marrow_forwardAn EM wave travels in free space with the electric field component E, = 100 eKO.866v+0.52) a, V/m Determine w and Aarrow_forward
- The magnetic field component of a plane wave in a lossless dielectric is H = 30 sin (2nx 10°t – 5z) a, mA/m a. If u=1 find b. Determine the direction of wave propagation c. Determine the polarization of the wave. d. Calculate the wavelength and wave velocity. e. Determine the wave impedance. f. Find the corresponding electric field component. g. Find the displacement current density. Er.arrow_forwardA plane wave in a nonmagnetic medium has E 50 sin (10t + 2z) a, V/m. Find A, f.arrow_forwardThe magnetic field of a wave propagating through a certain nonmagnetic material in the positive y direction has an amplitude of 30 mA/m and a frequency of 0 Hz . If the wave is polarized on the positive z direction and its wavelength is 12.6 meter, find the relative permittivity of the material. Assume the initial phase is 0. Select one: O a. 2.25 O b. 1.5 O C. 1.2 O d. 2.9 O e. 1 O f. 0arrow_forward
- 1. A 50 MHz uniform plane wave is propagating in a material with relative permeability and relative permittivity as 2.25 and 1 respectively. The material is assumed to be loss less. Find the phase constant of the wave propagation. A TU rad/m rad/m Brad/m D 2π rad/marrow_forwardA rectangular copper block is depth d along z, width w along y, and length / along x. In response to a wave incident upon the block from above, a current is induced in the block in the positive x-direction. Determine the ratio of the ac resistance of the block to its dc resistance at frequency f. 0: 5.8.107.- S m /:=1.2 m d: 40 cm W: 50 cm f:=2 kHzarrow_forwardA plane wave propagating through a medium with er = 8, μr = -2 has E = 0.5 e-z/3 sin(108t - βz) ax V/m. Determine (a) β (b) The loss tangent (c) Wave impedance (d) Wave velocity (e) H fieldarrow_forward
- The magnetic field of a wave propagating through a certain nonmagnetic material in the positive y direction has an amplitude of 30 mA/m and a frequency of 10 Hz . If the wave is polarized on the positive z direction and its wavelength is 12.6 meter, find the relative permittivity of the material. Assume the initial phase is 0. Select one: O a. 2.25 Ob. 1.5 Oc 12 d. 2.9 e. 1 f.0 magnetic field of a wve ga5a0d ena.ces n nonmadneti.cmaterian the DOsitive y directionarrow_forwardA rectangular copper block is 30 cm in height (along z). In response to a wave incident upon the block from above, a current is induced in the block in the positive x direction. Determine the ratio of the ac resistance of the block to its dc resistance at 1 kHz. The relevant properties of copper are er = 1, ur = 1, and a = 5.8x107 S/m. CHIWAarrow_forwardA uniform plane wave of frequency 5MHZ is propagating along the positive direction of the z-axis. The electric field intensity is the x-direction at , with an effective value of 100(V/m). Determine The instantaneous values of the electric and the magnetic field intensities, at z = 0.8m.arrow_forward
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