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Problem 6.25 Given an electric field E=Eo sinay cos(or-kz), where Eo, a, 60, and k are...
7.12 The electric field of an elliptically polarized plane wave is given by [-k 10 sin(cot-kz-60°) E(z, t) y 30 cos(ot - kz)] (V/m). Determine the following: (a) The polarization angles (y, x). (...
7.12 The electric field of an elliptically polarized plane wave is given by [-k 10 sin(cot-kz-60°) E(z, t) y 30 cos(ot - kz)] (V/m). Determine the following: (a) The polarization angles (y, x). (b) The direction of rotation.
7.12 The electric field of an elliptically polarized plane wave is given by [-k 10 sin(cot-kz-60°) E(z, t) y 30 cos(ot - kz)] (V/m). Determine the following: (a) The polarization angles (y, x). (b) The direction of rotation.
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 *...
The Electric field for a wave is given as: î + û ) Eo sin (...
The Electric field for a wave is given as: î + û ) Eo sin ( wt – kz What is the direction of the associated magnetic field? ĝ) O(- +9) (+9) o
E (t) = Eo cos (kz-wt) Where k is the wave-number and w is the angular...
E (t) = Eo cos (kz-wt) Where k is the wave-number and w is the angular frequency of the wave. Now some scientist tells you that a distant star has been observed to be green in color, with an observed frequency of fobserved 550 THz (terahertz, 1012). She also says that from other factors, it is known that the star should be emitting light with wavelength factual-1800 THz somewhere in the UV spectrum. They ask you to find two things...
1. An electromagnetic plane wave is propagating through space. Its electric field vector is given by...
1. An electromagnetic plane wave is propagating through space. Its electric field vector is given by E i Eo cos(kz- ot). Its magnetic field vector is: a) B=jBo cos(kz-t) b) B- kBo cos(ky-at) c) B-iB, cos(ky-) d) B- kBo cos(kz-o) 1 2. The velocity of an electromagnetic plane wave is: a) In the electric field direction b) In the magnetic field direction c) In a direction parallel to the electric and magnetic fields d) In a direction perpendicular to the...
The electric field of a plane electromagnetic wave in vacuum is Ē = Ēo cos(kz –...
The electric field of a plane electromagnetic wave in vacuum is Ē = Ēo cos(kz – wt), [1] where Ēo = (3î + 4ỹ) Vm-1 (a) Write down the expression for the magnetic field of this wave. (b) Compute the Maxwell tensor of the wave and provide a physical interpretation of your results. (c) If the frequency of the waves is f = 2.5 x 10Hz what is the energy density in the waves at t= 0 and z= 2.0...
2010 ( electric field described by Е-Eax cos(kz-ot) +Eby sin(kz-ot) a. What is the associated magnetic...
2010 ( electric field described by Е-Eax cos(kz-ot) +Eby sin(kz-ot) a. What is the associated magnetic field, H? 25) 8. A plane wave of elliptically polarized light in a vacuum has an perfect reflector with a normal along the z-axis c. Discuss the changes in your calculation in part b if the L x L reflector has a normal which has polar angles of 0° and φο. Include comments on the changes if the wavelength of the light is much...
3. The electric field of an elliptically polarized plane wave is given by E(z, t)- [-8 12 sin(wt-...
3. The electric field of an elliptically polarized plane wave is given by E(z, t)- [-8 12 sin(wt-kz-5800+ ỹ Determine the following (A) The polarization angles (y,x) 32 cos(wt-kz)] (V/m) (B) The direction of rotation
3. The electric field of an elliptically polarized plane wave is given by E(z, t)- [-8 12 sin(wt-kz-5800+ ỹ Determine the following (A) The polarization angles (y,x) 32 cos(wt-kz)] (V/m) (B) The direction of rotation
For Problems 7 to 12: Electric field in a uniform medium is given as Ē =n....
For Problems 7 to 12: Electric field in a uniform medium is given as Ē =n. (3ê +4ỹ)cos(3x10° rt – kız)+n. (î+22)cos(6x10° rt +187y) Notice that these two waves are at different frequencies and they propagate in different directions. Permeability of the medium is given as u=450 Problem [7] <5 points> Calculate the relative permittivity of this medium. I Problem [8] <5 points> Calculate the intrinsic impedance of this medium. Problem [9] <5 points> Calculate k. Problem [10] <5 points>...
2. The electric field in a plane wave is described by the equation (k > 0):...
2. The electric field in a plane wave is described by the equation (k > 0): Ē(x,y,z,1)= E, sin(kz – mt)ị Answer the following questions about the wave. i. What direction is the wave traveling? Explain how you can tell from the equation for the electric field. ii. Write an expression for the magnitude of the magnetic field of the wave. iii. Calculate the average intensity of the wave if Eo = 3000 V/m. The MKS units of intensity are...
7.12 The electric field of an elliptically polarized plane wave is given by [-k 10 sin(cot-kz-60°) E(z, t) y 30 cos(ot - kz)] (V/m). Determine the following: (a) The polarization angles (y, x). (b) The direction of rotation.
7.12 The electric field of an elliptically polarized plane wave is given by [-k 10 sin(cot-kz-60°) E(z, t) y 30 cos(ot - kz)] (V/m). Determine the following: (a) The polarization angles (y, x). (b) The direction of rotation.
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 *...
The Electric field for a wave is given as: î + û ) Eo sin ( wt – kz What is the direction of the associated magnetic field? ĝ) O(- +9) (+9) o
E (t) = Eo cos (kz-wt) Where k is the wave-number and w is the angular frequency of the wave. Now some scientist tells you that a distant star has been observed to be green in color, with an observed frequency of fobserved 550 THz (terahertz, 1012). She also says that from other factors, it is known that the star should be emitting light with wavelength factual-1800 THz somewhere in the UV spectrum. They ask you to find two things...
1. An electromagnetic plane wave is propagating through space. Its electric field vector is given by E i Eo cos(kz- ot). Its magnetic field vector is: a) B=jBo cos(kz-t) b) B- kBo cos(ky-at) c) B-iB, cos(ky-) d) B- kBo cos(kz-o) 1 2. The velocity of an electromagnetic plane wave is: a) In the electric field direction b) In the magnetic field direction c) In a direction parallel to the electric and magnetic fields d) In a direction perpendicular to the...
The electric field of a plane electromagnetic wave in vacuum is Ē = Ēo cos(kz – wt), [1] where Ēo = (3î + 4ỹ) Vm-1 (a) Write down the expression for the magnetic field of this wave. (b) Compute the Maxwell tensor of the wave and provide a physical interpretation of your results. (c) If the frequency of the waves is f = 2.5 x 10Hz what is the energy density in the waves at t= 0 and z= 2.0...
2010 ( electric field described by Е-Eax cos(kz-ot) +Eby sin(kz-ot) a. What is the associated magnetic field, H? 25) 8. A plane wave of elliptically polarized light in a vacuum has an perfect reflector with a normal along the z-axis c. Discuss the changes in your calculation in part b if the L x L reflector has a normal which has polar angles of 0° and φο. Include comments on the changes if the wavelength of the light is much...
3. The electric field of an elliptically polarized plane wave is given by E(z, t)- [-8 12 sin(wt-kz-5800+ ỹ Determine the following (A) The polarization angles (y,x) 32 cos(wt-kz)] (V/m) (B) The direction of rotation
3. The electric field of an elliptically polarized plane wave is given by E(z, t)- [-8 12 sin(wt-kz-5800+ ỹ Determine the following (A) The polarization angles (y,x) 32 cos(wt-kz)] (V/m) (B) The direction of rotation
For Problems 7 to 12: Electric field in a uniform medium is given as Ē =n. (3ê +4ỹ)cos(3x10° rt – kız)+n. (î+22)cos(6x10° rt +187y) Notice that these two waves are at different frequencies and they propagate in different directions. Permeability of the medium is given as u=450 Problem [7] <5 points> Calculate the relative permittivity of this medium. I Problem [8] <5 points> Calculate the intrinsic impedance of this medium. Problem [9] <5 points> Calculate k. Problem [10] <5 points>...
2. The electric field in a plane wave is described by the equation (k > 0): Ē(x,y,z,1)= E, sin(kz – mt)ị Answer the following questions about the wave. i. What direction is the wave traveling? Explain how you can tell from the equation for the electric field. ii. Write an expression for the magnitude of the magnetic field of the wave. iii. Calculate the average intensity of the wave if Eo = 3000 V/m. The MKS units of intensity are...
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