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An electric field propagating in a lossless nonmagnetic medium is characterized by
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Chapter 4 Solutions
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_forward1. A transverse electromagnetic wave propagates in a nonmagnetic simple medium with E, (1) What is the phase velocity of this wave along the wavefront direction? (2) This wave has a frequency of 300 THz (1 THz = 10¹² Hz), what is the wavelength of this wave in the medium? = 4. (3) What is the wave impedance in this simple medium? (4) If this wave has an electric-field amplitude 377 V/m in the z direction, while propagating along -y direction, what is the magnitude and direction of the magnetic field intensity?arrow_forwardWhich of the following statements about electromagnetic waves in free space are true? Choose all that apply The wavelengths of the visible waves are some of the shortest electromagnetic waves. The higher-frequency waves have shorter wavelengths than the lower- frequency waves. The electric field vector is always at right angles to the magnetic field vector. The wavelengths of the visible waves are some of the longest electromagnetic waves. The higher-frequency travel faster than the lower-frequency waves. (Explain thoroughly the correct options)arrow_forward
- In a lossless medium Select one or more: a. The amplitude of the wave depends on the location O b. The wave does not subside as it moves forward c. Conductivity of the medium o = 0 Od. The permittivity and permeability of the medium are complexarrow_forwardThe magnetic field phasor of a uniform plane wave traveling in a non-magnetic medium with intrinsic impedance. n = 100 N is Ĥ = (59 + 32)e-/4x (mA/m). a) What is the direction of wave propagation? b) Find the frequency of the signal. c) Is this wave traveling in lossy or lossless media? Show your work and explain. d) Find the associated electric field phasor.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 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_forward
- /Wave Propagation in Dielectrics: Assume the wave equation can be Written as ? 2??? ??2 = −? 2???, where k is the complex propagation constant and ?? = ? + ??. The electric field can be written as ?(?,?) = ??0? −??cos(?? − ??). Assume that we have a complex permittivity ? = ? ′−??′′ . From the given information, derive mathematical expressions for α,?,and ? as functions of ?, ? and ? ′′ ? ′ .Also explain the role of ? and ? given that ? ≥ 0arrow_forwardQuestion " The intrinsic impedance of a medium is given by impedance in free space is: Hint: -8.854x10 and μo -4m x 10' H/m 2650 4890 1920 377 0 Q.So the intrinsicarrow_forward8. A nonmagnetic medium has an intrinsic impedance 240e³/6. Find its complex permittivity.arrow_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_forwardIf the medium is nonconducting then: Select one: a. σ O b. µ = 1 O c. € = 1 O d. o = 0 and µ = 1 O e. o = 0 and e = 1arrow_forwardThe magnetic field of a wave propagating through a certain nonmagnetic material in the negative z direction has an amplitude of 45mAlm and a frequency of 10Š 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 relative permittivity of the material. Select one: O a. The relative permittivity of the material = 1 O b. The relative permittivity of the material = V3 O c. The relative permittivity of the material = 0 O d. The relative permittivity of the material = 3 O e. The relative permittivity of the material = 9 %3Darrow_forward
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