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In a lossless, nonmagnetic media, the magnetic field at some point distant from a source at the origin is given by
Find the relative permittivity of the medium, the frequency and phase constant of the wave, and
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Fundamentals of Electromagnetics with Engineering Applications
- 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 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_forwardIn a dielectric medium, P = 0.61Ď. Therefore the relative permittivity of the medium isarrow_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
- Handwrite and step by step solutionsarrow_forwardQuèstion 4 Magnetic field intensity of a propagating wave in free space is given by H=0.3 cos(4*10t- 2y) ax V/m the plot of H versus y at time, t = T/1000 AH 0.3- None of thesearrow_forwardIn a certain region, the magnetic field of an EM wave is H = 0.6 cos βx cos 108 t az A/m. Find the corresponding E using Maxwell's equations. In a nonmagnetic medium, E = 50 cos (109t - 8x) ay + 40 sin (109t - 8x)az V/m find the corresponding H.arrow_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 Hz . If the wave is polarized on the positive z direction 2 and its wavelength is 12.6 meter, select the equation that represents the instantaneous magnetic field. Assume the initial phase is 0. Select one: O a. H(y, t) = 30žcos(10°t – y) 12.6 О Б. Н(у, t) — 30£cos (2т10%t — 12.6у) O c. H(z, t) = 30jcos(10®t – 2) 12.6 O d. H(y, t) = 30žcos(t – 2.10 TY) 12.6 O e. H(y, t) = 30žcos(10°t + y) 12.6arrow_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 1082π1082πHz . If the wave is polarized on the positive z direction and its wavelength is 12.6 meter, find the equation of the instantaneous Electric field. Assume the initial phase is 0.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 10° m/s. Assume the initial phase is 30°. Find the relative permeability of the material. Select one: O a. The permeability of the material = 9. O b. The permeability of the material = 0. O c. The permeability of the material =1. O d. The permeability of the material = 2. O e. The permeability of the material = 3.arrow_forward
- The electric field of a plane wave in a nonmagnetic medium is E = 50sin (10°r + 2z)a, V/m Find magnetic filed of the plane Harrow_forwardHomework Helparrow_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 10 Hz . If the wave is polarized on the positive z direction and its wavelength is 12.6 meter, find the wavenumber. Assume the initial phase is 0. Select one: O a. rad/m 12.6 O b. 2 m/sec 12.6 O c. 108 rad/m O d. 108 rad/secarrow_forward
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