(20 pts) An em wave traveling through air has an electric field described by the equation...
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...
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 : + 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?
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...
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...
(6%) Problem 3: The magnetic field of an electromagnetic wave is described by By = Bocos(kor - wt), where Bo = 2.5 x 10-6 T and w=2.5 107 rad/s. Randomized Variables Bo = 2.5 x 10-61 w=2.5 * 107 rad/s A 20% Part (a) What is the amplitude of the corresponding electric field oscillations, Eo, in terms of Bo? Eo=1 G D PO a 00 HOME B 0 d 7 TA 4 8 9 6 St A Во 5 с...
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.
The components of the electric field in an electromagnetic wave traveling in vacuum are described by Ex = 0, Ey = 0, and Ez = 9.00 sin(3.48x - wt) V/m, where x is measured in meters and t in seconds. Calculate the frequency of the wave. Submit Answer Tries 0/12 Calculate the wavelength of the wave. Submit Answer Tries 0/12 Calculate the amplitude of the magnetic field of the wave. Submit Answer Tries 0/12 Calculate the intensity of the wave....