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(20 pts) An em wave traveling through air has an electric field described by the equation...
8. The y-component of the electric field of an electromagnetic(EM) field traveling in the x-direction through...
8. The y-component of the electric field of an electromagnetic(EM) field traveling in the x-direction through vacuum obeys the equation E~ y(x, t) = (325 N/C) cos[(4500 m−1 )x − (1.35 × 1012 rad/s)t + 0.6]ˆj (a) What are the wavelength and frequency of the EM wave? (b) Write an equation for the magnetic field vector of the EM field. (c) What is the average Poynting vector? I need all parts of this question. Thanks!
1. The electric field of an electromagnetic wave traveling through vacuum is the following: 5.90x1 :...
1. The electric field of an electromagnetic wave traveling through vacuum is the following: 5.90x1 : + a. Draw a qualitative sketch of this E function for t = 0. Add the B field as well to complete the EM wave. Be sure to label the axes. Don't worry about your drawing ability. b. What is the magnitude of the magnetic field B.? C. What is the wavelength of the EM wave? d. What is the frequency of the EM...
(a) What are the wavelength and frequency of the EM wave? (b) Write an equation for...
(a) What are the wavelength and
frequency of the EM wave?
(b) Write an equation for the magnetic field vector of the EM
field.
(c) What is the average Poynting vector?
. The y-component of the electric field of an electromagnetic(EM) field traveling in the x-direction through vacuum obeys the equation Ēy(1,t) = (325 N/C) cos[(4500 m-1)– (1.35 x 1012 rad/s)t +0.6]j (a) What are the wavelength and frequency of the EM wave?
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...
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...
Consider an electromagnetic wave traveling through empty space described by the electric and magnetic fields given....
Consider an electromagnetic wave traveling through empty space
described by the electric and magnetic fields given. In which
direction is this wave traveling? Find the magnitude (in terms of
alpha) and the direction of the constant vector G. What is the
wavelength and frequency of this wave?
Consider an electromagnetic wave travelling through empty space described by the electric and magnetic fields where ? and L are positive constants and G is a constant vector. (a) [1 pt] In which...
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 of a positive z-traveling wave in a medium with relative dielectric constant of...
The electric field of a positive z-traveling wave in a medium with relative dielectric constant of er 4 and with frequency of 2.5 GHz is given by Ex Eox cos(ot - kz) V/m. 1. a. Find the magnetic field if Eox 400,000 V/m. b. Determine the phase velocity and wavelength.
A traveling wave is described by the equation: TT y(x, t) = (0.35 cm) sin (...
A traveling wave is described by the equation: TT y(x, t) = (0.35 cm) sin ( 3173 107t + 4 Find: a. the wavelength of the wave; b. the period of the wave; c. the speed and direction of travel of the wave; Now consider the particle at x = 10 cm. d. Find the vertical displacement of the particle t = 0. e. Find the maximum transverse speed and acceleration of the particle. If the oscillator that is generating...
The equation of a transverse wave traveling on a string is given by y - A...
The equation of a transverse wave traveling on a string is given by y - A sin(kx - ot) Data: A-22 mm, k-13 rad/m, 240 rad/s. What is the amplitude? Submit Answer Tries 0/99 What is the frequency? Submit Answer Tries 0/99 What is the wave velocity? Submit Answer Tries 0/99 What is the wavelength? Submit Answer Tries 0/99 For the same wave, find the maximum transverse speed of a particle in the string. Submit Answer Tries 0/99
1. The electric field of an electromagnetic wave traveling through vacuum is the following: 5.90x1 : + a. Draw a qualitative sketch of this E function for t = 0. Add the B field as well to complete the EM wave. Be sure to label the axes. Don't worry about your drawing ability. b. What is the magnitude of the magnetic field B.? C. What is the wavelength of the EM wave? d. What is the frequency of the EM...
(a) What are the wavelength and
frequency of the EM wave?
(b) Write an equation for the magnetic field vector of the EM
field.
(c) What is the average Poynting vector?
. The y-component of the electric field of an electromagnetic(EM) field traveling in the x-direction through vacuum obeys the equation Ēy(1,t) = (325 N/C) cos[(4500 m-1)– (1.35 x 1012 rad/s)t +0.6]j (a) What are the wavelength and frequency of the EM wave?
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...
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...
Consider an electromagnetic wave traveling through empty space
described by the electric and magnetic fields given. In which
direction is this wave traveling? Find the magnitude (in terms of
alpha) and the direction of the constant vector G. What is the
wavelength and frequency of this wave?
Consider an electromagnetic wave travelling through empty space described by the electric and magnetic fields where ? and L are positive constants and G is a constant vector. (a) [1 pt] In which...
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 of a positive z-traveling wave in a medium with relative dielectric constant of er 4 and with frequency of 2.5 GHz is given by Ex Eox cos(ot - kz) V/m. 1. a. Find the magnetic field if Eox 400,000 V/m. b. Determine the phase velocity and wavelength.
A traveling wave is described by the equation: TT y(x, t) = (0.35 cm) sin ( 3173 107t + 4 Find: a. the wavelength of the wave; b. the period of the wave; c. the speed and direction of travel of the wave; Now consider the particle at x = 10 cm. d. Find the vertical displacement of the particle t = 0. e. Find the maximum transverse speed and acceleration of the particle. If the oscillator that is generating...
The equation of a transverse wave traveling on a string is given by y - A sin(kx - ot) Data: A-22 mm, k-13 rad/m, 240 rad/s. What is the amplitude? Submit Answer Tries 0/99 What is the frequency? Submit Answer Tries 0/99 What is the wave velocity? Submit Answer Tries 0/99 What is the wavelength? Submit Answer Tries 0/99 For the same wave, find the maximum transverse speed of a particle in the string. Submit Answer Tries 0/99
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