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2. [50 pts] Given: A 100-MHZ TM polarized wave with an amplitude of 1 V/m is...
[50 pts) Given: A 100-MHZ TM polarized wave with an amplitude of 1 V/m is obliquely...
[50 pts) Given: A 100-MHZ TM polarized wave with an amplitude of 1 V/m is obliquely incident from air (z < 0) onto a slap of lossless, nonmagnetic material with er = 25. The angle of incidence is 40°. Find: a) Determine the angle of transmission; b) determine the reflection and transmission coefficients and c) determine expressions for the incident, reflected, and transmitted fields. Solution: Answers: a) The angle of transmission is 7.37º; b) Itm = -0.588 and Ttm =...
4. 30 points Consider at 100MHz wave with amplitude 6.0 V/,m obliquely incident from a lossless, ...
4. 30 points Consider at 100MHz wave with amplitude 6.0 V/,m obliquely incident from a lossless, non-magnetic material with fr 9 onto air. The angle of incidence θ¡ is one-half of the critical angle for total internal reflection. The electric field phasor is of the form 2 a) (5 points) Find the wavelength of the signal in the dielectric. b)(5 points) Find the critical angle for total internal reflection. c) (10 points) Find the magnetic field in the dielectric. d)...
Question No 1: (40) A y-polarized uniform plane wave (E,,H) with 100 MHz frequency propagates in...
Question No 1: (40) A y-polarized uniform plane wave (E,,H) with 100 MHz frequency propagates in air and impinges normally on a perfectly conducting plane at x = 0. Assuming the amplitude of E, to be 6 mV/m, write the phasor and instantaneous expressions for: (a) E, and H of the incident wave (b) E, and H, of the reflected wave (c) E, and H, of the total wave in air (d) Determine the location, nearest to the conducting plane,...
3. A flat wave of 125 MHz with electric field amplitude of 3 V / m...
3. A flat wave of 125 MHz with electric field amplitude of 3 V / m propagating in the air normally affects a silicon plate (µr = 1.0, er = 11.68, s = 1.0x103 S / m) . a. Determine the reflection coefficient, G. b. Determine the transmission coefficient, t. C. Determine the value of the amplitude of the wave at 2.3 mm inside the silicon.
1. The magnetic field of a wave propagating through a certain nonmagnetic material is given by...
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...
[50 pts] Given: Figure 6.23, page 366 of the course textbook. Find: Derive the expression for...
[50 pts] Given: Figure 6.23, page 366 of the course textbook. Find: Derive the expression for the transverse magnetic reflection coefficient, Itm for a normally incident wave. Solution: Answer: Гтм 1/2 cos 0, -- cose; 12 cos 6, +91 cose 6.8.2 TM Polarization Oblique incidence of a TM polarized wave is indicated in Figure 6.23. Now all of the magnetic fields are tangential to the boundary, but only the x component of the electric field is tangential. Analysis reveals that...
08. Consider a plane wave incident from the medium 1(M€) onto the medium 2 (uz,£z). For...
08. Consider a plane wave incident from the medium 1(M€) onto the medium 2 (uz,£z). For an oblique incidence, the reflection coefficients for the S and P waves are generally different from each other. Consider a special case where the reflection coefficient is equal to zero. When it occurs, the incidence angle is defined as the Brewster angle Og. (1) What are the values of Brewster angle e, for the S and P waves, respectively? (2) Repeat part (1) for...
8-16 Two nonmagnetic dielectrics( μ: 1 ) have the same dielectric constant( ε.-2.25 ), but different conductivities( σ-O and G-50 [S/m). If a wave of a frequency 100 MHz) propagates in each diele...
8-16 Two nonmagnetic dielectrics( μ: 1 ) have the same dielectric constant( ε.-2.25 ), but different conductivities( σ-O and G-50 [S/m). If a wave of a frequency 100 MHz) propagates in each dielectric, compare the values of (a) β, (b) λ, and (c) up of the two waves. An electromagnetic plane wave propagating in a nonmagnetic dielectric has the instantaneous electric and magnetic field intensities given as 8-17 (z.t)- a,967.le" cos(1.5x10°t-Bz) and 'W(z, t) = ay 10e-az cos(1.5x10°t-Bz-0.7194) Determine (a)...
[50 pts) Given: A 100-MHZ TM polarized wave with an amplitude of 1 V/m is obliquely incident from air (z < 0) onto a slap of lossless, nonmagnetic material with er = 25. The angle of incidence is 40°. Find: a) Determine the angle of transmission; b) determine the reflection and transmission coefficients and c) determine expressions for the incident, reflected, and transmitted fields. Solution: Answers: a) The angle of transmission is 7.37º; b) Itm = -0.588 and Ttm =...
4. 30 points Consider at 100MHz wave with amplitude 6.0 V/,m obliquely incident from a lossless, non-magnetic material with fr 9 onto air. The angle of incidence θ¡ is one-half of the critical angle for total internal reflection. The electric field phasor is of the form 2 a) (5 points) Find the wavelength of the signal in the dielectric. b)(5 points) Find the critical angle for total internal reflection. c) (10 points) Find the magnetic field in the dielectric. d)...
Question No 1: (40) A y-polarized uniform plane wave (E,,H) with 100 MHz frequency propagates in air and impinges normally on a perfectly conducting plane at x = 0. Assuming the amplitude of E, to be 6 mV/m, write the phasor and instantaneous expressions for: (a) E, and H of the incident wave (b) E, and H, of the reflected wave (c) E, and H, of the total wave in air (d) Determine the location, nearest to the conducting plane,...
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...
[50 pts] Given: Figure 6.23, page 366 of the course textbook. Find: Derive the expression for the transverse magnetic reflection coefficient, Itm for a normally incident wave. Solution: Answer: Гтм 1/2 cos 0, -- cose; 12 cos 6, +91 cose 6.8.2 TM Polarization Oblique incidence of a TM polarized wave is indicated in Figure 6.23. Now all of the magnetic fields are tangential to the boundary, but only the x component of the electric field is tangential. Analysis reveals that...
08. Consider a plane wave incident from the medium 1(M€) onto the medium 2 (uz,£z). For an oblique incidence, the reflection coefficients for the S and P waves are generally different from each other. Consider a special case where the reflection coefficient is equal to zero. When it occurs, the incidence angle is defined as the Brewster angle Og. (1) What are the values of Brewster angle e, for the S and P waves, respectively? (2) Repeat part (1) for...
8-16 Two nonmagnetic dielectrics( μ: 1 ) have the same dielectric constant( ε.-2.25 ), but different conductivities( σ-O and G-50 [S/m). If a wave of a frequency 100 MHz) propagates in each dielectric, compare the values of (a) β, (b) λ, and (c) up of the two waves. An electromagnetic plane wave propagating in a nonmagnetic dielectric has the instantaneous electric and magnetic field intensities given as 8-17 (z.t)- a,967.le" cos(1.5x10°t-Bz) and 'W(z, t) = ay 10e-az cos(1.5x10°t-Bz-0.7194) Determine (a)...
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