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Problem 2: In vacuum, the E field of a plane EMag wave is given by Please...
Problem 2: In vacuum, the E field of a plane EMag wave is given by Please determine: (a) The propagation vector (5pt) (b) o (5 pt) (c) The phase form of the H field; (10pt) Problem 2: In vac...
Problem 2: In vacuum, the E field of a plane EMag wave is given by Please determine: (a) The propagation vector (5pt) (b) o (5 pt) (c) The phase form of the H field; (10pt)
Problem 2: In vacuum, the E field of a plane EMag wave is given by Please determine: (a) The propagation vector (5pt) (b) o (5 pt) (c) The phase form of the H field; (10pt)
ECE 336 Mid 1 (2020 spring) Name: In a non-magnetic medium (6-3), z<0, the E field...
ECE 336 Mid 1 (2020 spring) Name: In a non-magnetic medium (6-3), z<0, the E field component of an EMag wave given by: E = 10 cos(0-1-1/32 - x)a,, The wave oblique incidence to air at z 0. Please determine: (a) The polarization state of the oblique incidence (5pt) (b) The phaser form of the incident E field (5 pt) (c) (10pt) (d) The reflected E field (30 pt) (e) The transmitted H field (30 pt) (1) Assuming if we...
Question 2: For an electromagnetic plane wave, the electric field is given by: Ē= E, cos(kz...
Question 2: For an electromagnetic plane wave, the electric field is given by: Ē= E, cos(kz +wt) ĉ +0 ġ+02 a) Determine the direction of propagation of the electromagnetic wave. b) Find the magnitude and direction of the magnetic field for the given electromagnetic wave B. c) Calculate the Poynting vector associated with this electromagnetic wave. What direction does this vector point? Does this makes sense? d) If the amplitude of the magnetic field was measured to be 2.5 *...
Question 2: For an electromagnetic plane wave, the electric field is given by: Ē = E,...
Question 2: For an electromagnetic plane wave, the electric field is given by:$$ \vec{E}=E_{0} \cos (k z+\omega t) \hat{x}+0 \hat{y}+0 \hat{z} $$a) Determine the direction of propagation of the electromagnetic wave.b) Find the magnitude and direction of the magnetic field for the given electromagnetic wave \(\vec{B}\).c) Calculate the Poynting vector associated with this electromagnetic wave. What direction does this vector point? Does this makes sense?d) If the amplitude of the magnetic field was measured to be \(2.5 * 10^{-7} \mathrm{~T}\),...
3. (10) Consider a left-circularly polarized harmonic plane wave in vacuum, with angular frequency w =...
3. (10) Consider a left-circularly polarized harmonic plane wave in vacuum, with angular frequency w = 3. 1015 Hz, and that propagates towards the i + + 2 direction. The magnetic field HF,t), at time t = 0 and at the origin, is H(0,0) = 132.7.(-) PA/m. Determine: (a) The wavevector k; (b) The polarization vector e of the magnetic field; (c) The complex magnetic field vector H(); (d) The complex electric-field vector ET).
Given that the -field of an electromagnetic wave in vacuum is write an expression for the...
Given that the
-field of an electromagnetic wave in vacuum is
write an expression for the associated
-field. What is the direction of propagation?
2. An electromagnetic plane wave is specified (in SI units) by E = (-68 + 3V59)et(v 3x+y)sx 10.9....
2. An electromagnetic plane wave is specified (in SI units) by E = (-68 + 3V59)et(v 3x+y)sx 10.9.42 x 1015t] Find (a) the polarization direction and amplitude of the electric field, (b) the wave propagation direction, (c) the propagation constant and the wavelength, (d) the frequency and the angular frequency, and (e) the phase velocity.
2. An electromagnetic plane wave is specified (in SI units) by E = (-68 + 3V59)et(v 3x+y)sx 10.9.42 x 1015t] Find (a) the polarization direction...
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. (4.5 pts) Consider a 3D electromagnetic plane wave in vacuum, described in usual complex form...
4. (4.5 pts) Consider a 3D electromagnetic plane wave in vacuum, described in usual complex form by, (r, t) = Ēelkr-wt) in which ło = Epein/2y. Where k = -kx is the wave vector (assume k > 0) and w > 0 is the angular frequency. As usual, the real field is Er, t) = ReLEr, t)] (a) In which direction is the wave propagating? In terms of the given values k and w, what is the speed, wavelength, and...
A uniform plane wave with frequency 2 GHz propagates in non-magnetic material with &,-3 and σ 0.1...
A uniform plane wave with frequency 2 GHz propagates in non-magnetic material with &,-3 and σ 0.1 S /m. (a) Determine the loss tangent of the material. (b) The propagation constant (phase constant) and the attenuation constant. (c) What is the materials wave impedance (intrinsic impedance) (d)The wavelength, phase velocity, and the skin depth (e) If the E-field amplitude at z-0 is 20V/m, what will be the E-field amplitude after propagation a distance of 1.5 m? (f) What is the...
Problem 2: In vacuum, the E field of a plane EMag wave is given by Please determine: (a) The propagation vector (5pt) (b) o (5 pt) (c) The phase form of the H field; (10pt)
Problem 2: In vacuum, the E field of a plane EMag wave is given by Please determine: (a) The propagation vector (5pt) (b) o (5 pt) (c) The phase form of the H field; (10pt)
ECE 336 Mid 1 (2020 spring) Name: In a non-magnetic medium (6-3), z<0, the E field component of an EMag wave given by: E = 10 cos(0-1-1/32 - x)a,, The wave oblique incidence to air at z 0. Please determine: (a) The polarization state of the oblique incidence (5pt) (b) The phaser form of the incident E field (5 pt) (c) (10pt) (d) The reflected E field (30 pt) (e) The transmitted H field (30 pt) (1) Assuming if we...
Question 2: For an electromagnetic plane wave, the electric field is given by: Ē= E, cos(kz +wt) ĉ +0 ġ+02 a) Determine the direction of propagation of the electromagnetic wave. b) Find the magnitude and direction of the magnetic field for the given electromagnetic wave B. c) Calculate the Poynting vector associated with this electromagnetic wave. What direction does this vector point? Does this makes sense? d) If the amplitude of the magnetic field was measured to be 2.5 *...
Question 2: For an electromagnetic plane wave, the electric field is given by:$$ \vec{E}=E_{0} \cos (k z+\omega t) \hat{x}+0 \hat{y}+0 \hat{z} $$a) Determine the direction of propagation of the electromagnetic wave.b) Find the magnitude and direction of the magnetic field for the given electromagnetic wave \(\vec{B}\).c) Calculate the Poynting vector associated with this electromagnetic wave. What direction does this vector point? Does this makes sense?d) If the amplitude of the magnetic field was measured to be \(2.5 * 10^{-7} \mathrm{~T}\),...
3. (10) Consider a left-circularly polarized harmonic plane wave in vacuum, with angular frequency w = 3. 1015 Hz, and that propagates towards the i + + 2 direction. The magnetic field HF,t), at time t = 0 and at the origin, is H(0,0) = 132.7.(-) PA/m. Determine: (a) The wavevector k; (b) The polarization vector e of the magnetic field; (c) The complex magnetic field vector H(); (d) The complex electric-field vector ET).
Given that the
-field of an electromagnetic wave in vacuum is
write an expression for the associated
-field. What is the direction of propagation?
2. An electromagnetic plane wave is specified (in SI units) by E = (-68 + 3V59)et(v 3x+y)sx 10.9.42 x 1015t] Find (a) the polarization direction and amplitude of the electric field, (b) the wave propagation direction, (c) the propagation constant and the wavelength, (d) the frequency and the angular frequency, and (e) the phase velocity.
2. An electromagnetic plane wave is specified (in SI units) by E = (-68 + 3V59)et(v 3x+y)sx 10.9.42 x 1015t] Find (a) the polarization direction...
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. (4.5 pts) Consider a 3D electromagnetic plane wave in vacuum, described in usual complex form by, (r, t) = Ēelkr-wt) in which ło = Epein/2y. Where k = -kx is the wave vector (assume k > 0) and w > 0 is the angular frequency. As usual, the real field is Er, t) = ReLEr, t)] (a) In which direction is the wave propagating? In terms of the given values k and w, what is the speed, wavelength, and...
A uniform plane wave with frequency 2 GHz propagates in non-magnetic material with &,-3 and σ 0.1 S /m. (a) Determine the loss tangent of the material. (b) The propagation constant (phase constant) and the attenuation constant. (c) What is the materials wave impedance (intrinsic impedance) (d)The wavelength, phase velocity, and the skin depth (e) If the E-field amplitude at z-0 is 20V/m, what will be the E-field amplitude after propagation a distance of 1.5 m? (f) What is the...
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