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5. In a lossless nonmagnetic medium with er = 4, E(y,t) = 20 cos(108nt +By+)a, V/m...
4) Write general expessions for the electric and magnetic fields of a 1 GHz sinusoidal planewave traveling in the ty-direction in a lossless nonmagnetic medium with relative permittivity r9. The elec...
4) Write general expessions for the electric and magnetic fields of a 1 GHz sinusoidal planewave traveling in the ty-direction in a lossless nonmagnetic medium with relative permittivity r9. The electric field is polarized in the x-direction, it's peak value is 3 V/m, and intensity is 2 V/matt 0 and y 2 cm. [7pts]
4) Write general expessions for the electric and magnetic fields of a 1 GHz sinusoidal planewave traveling in the ty-direction in a lossless nonmagnetic medium with...
(30 pts) The magnetic field of a uniform plane wave propagating in a lossless medium with...
(30 pts) The magnetic field of a uniform plane wave propagating in a lossless medium with E,=2 is H(x,t) = cos(3x108t+4x)ā, – sin(3x10$t +4x)ā.(Alm). Find: (1) The phasor form expression for the magnetic field (2) The direction of propagation for the wave (3) The velocity Vp (4) The polarization state. If it is a circular polarization, you need to determine it is left or right handed. Provide details for your reasoning. (5) The average power density Sav.
8. In a lossless Eq, λ and H. dielectric for which η,:20π, μ.-1,and E(z,t) 94πcos(wt +2z)...
8. In a lossless Eq, λ and H. dielectric for which η,:20π, μ.-1,and E(z,t) 94πcos(wt +2z) a/m. Calculate 9. A plane wave in a lossless medium has H(z,t) 0.2 cos(ot-62)-y 2 sin(ot -6z) AV/m. Find a) The direction of wave propagating. b) εr and a. c) E(z,t). 10. The electric field component of an electromagnetic wave in free-space is given by E.z,t)Eocos(ay)sin wt -kx) V/rm (Hint: Use the identity 2 sin a cos b (sina+ b) +sin(a -b)) a) Find...
1) The electric field intensity of a uniform plane wave propagating in a medium for which...
1) The electric field intensity of a uniform plane wave propagating in a medium for which 4, = 1 is given by E = 40 e 20 cos(2 + x108 + – 30 y)a. V/m. Find: a) The direction of propagation. b) The phase constant c) The magnetic field intensity in instantaneous form (Don't use Maxwell's equations) 2) Write the equation you may use to plot the dependence of skin depth on frequency for seawater ( 11, = 1, 8,...
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...
4. A uniform plane electromagnetic wave propagates in a lossless dielectrie medium with μ = μ°...
4. A uniform plane electromagnetic wave propagates in a lossless dielectrie medium with μ = μ° and ε = εγεο . The phasor electric field is given by the where Eo is a complex constant and ω is angular frequency. Note that the wavenumber of the dielectric k is not the free space wavenumber ko-alc = ωνμο (a) Find the relative dielectric constant&, (b) Find the direction of propagation n and draw it on the figure. (c) Sketch (draw) on...
A propagating electric field is given by 100e -0.1z COS E (z, t) V/m T x...
A propagating electric field is given by 100e -0.1z COS E (z, t) V/m T x 10' tTZ : (a) Determine the attenuation constant, the wave frequency, the wavelength, the propagation velocity, and the phase shift. (b) How far must the wave travel before its amplitude is reduced to 1.0 V/m?
3. (30 pts) The magnetic field of a uniform plane wave propagating in a lossless medium...
3. (30 pts) The magnetic field of a uniform plane wave propagating in a lossless medium with 8=2 is 7 (x,t)= cos(3x10't +4x)â, - sin( 3x108t + 4x)â, (Alm). Find: (1) The phasor form expression for the magnetic field (2) The direction of propagation for the wave (3) The velocity vp (4) The polarization state. If it is a circular polarization, you need to determine it is left or right handed. Provide details for your reasoning. (5) The average power...
(30 pts) The magnetic field of a uniform plane wave propagating in a lossless medium with...
(30 pts) The magnetic field of a uniform plane wave propagating in a lossless medium with x=2 is 7 (x,t) = cos(3x108t+4x)â, – sin( 3 x 108t+4x)â, (Alm). Find: (1) The phasor form expression for the magnetic field (2) The direction of propagation for the wave (3) The velocity vp (4) The polarization state. If it is a circular polarization, you need to determine it is left or right handed. Provide details for your reasoning. (5) The average power density...
(i) Consider the wave Ē(7,t) = Ło cos(wt – k ), where Ē, is a fixed...
(i) Consider the wave Ē(7,t) = Ło cos(wt – k ), where Ē, is a fixed vector. Determine the relation between w and k = \KI SO that Ē(7,t) is a solution of the wave equation -27 182 VPE = 2 ət? - What is the direction of propagation of the wave? ii) Show, by substitution of Ē(7,t) in the appropriate Maxwell's equation, that K· Ē= 0. iii) Assuming that the magnetic field B(7, t) = B, cos(wt – K:1),...
4) Write general expessions for the electric and magnetic fields of a 1 GHz sinusoidal planewave traveling in the ty-direction in a lossless nonmagnetic medium with relative permittivity r9. The electric field is polarized in the x-direction, it's peak value is 3 V/m, and intensity is 2 V/matt 0 and y 2 cm. [7pts]
4) Write general expessions for the electric and magnetic fields of a 1 GHz sinusoidal planewave traveling in the ty-direction in a lossless nonmagnetic medium with...
(30 pts) The magnetic field of a uniform plane wave propagating in a lossless medium with E,=2 is H(x,t) = cos(3x108t+4x)ā, – sin(3x10$t +4x)ā.(Alm). Find: (1) The phasor form expression for the magnetic field (2) The direction of propagation for the wave (3) The velocity Vp (4) The polarization state. If it is a circular polarization, you need to determine it is left or right handed. Provide details for your reasoning. (5) The average power density Sav.
8. In a lossless Eq, λ and H. dielectric for which η,:20π, μ.-1,and E(z,t) 94πcos(wt +2z) a/m. Calculate 9. A plane wave in a lossless medium has H(z,t) 0.2 cos(ot-62)-y 2 sin(ot -6z) AV/m. Find a) The direction of wave propagating. b) εr and a. c) E(z,t). 10. The electric field component of an electromagnetic wave in free-space is given by E.z,t)Eocos(ay)sin wt -kx) V/rm (Hint: Use the identity 2 sin a cos b (sina+ b) +sin(a -b)) a) Find...
1) The electric field intensity of a uniform plane wave propagating in a medium for which 4, = 1 is given by E = 40 e 20 cos(2 + x108 + – 30 y)a. V/m. Find: a) The direction of propagation. b) The phase constant c) The magnetic field intensity in instantaneous form (Don't use Maxwell's equations) 2) Write the equation you may use to plot the dependence of skin depth on frequency for seawater ( 11, = 1, 8,...
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...
4. A uniform plane electromagnetic wave propagates in a lossless dielectrie medium with μ = μ° and ε = εγεο . The phasor electric field is given by the where Eo is a complex constant and ω is angular frequency. Note that the wavenumber of the dielectric k is not the free space wavenumber ko-alc = ωνμο (a) Find the relative dielectric constant&, (b) Find the direction of propagation n and draw it on the figure. (c) Sketch (draw) on...
A propagating electric field is given by 100e -0.1z COS E (z, t) V/m T x 10' tTZ : (a) Determine the attenuation constant, the wave frequency, the wavelength, the propagation velocity, and the phase shift. (b) How far must the wave travel before its amplitude is reduced to 1.0 V/m?
3. (30 pts) The magnetic field of a uniform plane wave propagating in a lossless medium with 8=2 is 7 (x,t)= cos(3x10't +4x)â, - sin( 3x108t + 4x)â, (Alm). Find: (1) The phasor form expression for the magnetic field (2) The direction of propagation for the wave (3) The velocity vp (4) The polarization state. If it is a circular polarization, you need to determine it is left or right handed. Provide details for your reasoning. (5) The average power...
(30 pts) The magnetic field of a uniform plane wave propagating in a lossless medium with x=2 is 7 (x,t) = cos(3x108t+4x)â, – sin( 3 x 108t+4x)â, (Alm). Find: (1) The phasor form expression for the magnetic field (2) The direction of propagation for the wave (3) The velocity vp (4) The polarization state. If it is a circular polarization, you need to determine it is left or right handed. Provide details for your reasoning. (5) The average power density...
(i) Consider the wave Ē(7,t) = Ło cos(wt – k ), where Ē, is a fixed vector. Determine the relation between w and k = \KI SO that Ē(7,t) is a solution of the wave equation -27 182 VPE = 2 ət? - What is the direction of propagation of the wave? ii) Show, by substitution of Ē(7,t) in the appropriate Maxwell's equation, that K· Ē= 0. iii) Assuming that the magnetic field B(7, t) = B, cos(wt – K:1),...
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