(1) Wave propagation (10 points) (a) Consider a wave described by Ex = E, cos(ot-kz) Ey...
A wave defined by the expression E (z,t) = A cos(ot-kz) fills all space directions perpendicular to the z-axis in 3-dimensional space. A wave confined in the directions transverse to the direction of propagation can be constructed by superimposing such waves propagating in different directions. This problem is an illustration on how it can be done (a) Consider the space defined by the Cartesian coordinates x-y-z. Rotate the coordinates about the y-axis by an angle A to form a new...
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.
Determine the expressions for the x-, y-, and z-components of the electric field (Ex, Ey, Ez) for this wave as a function of space and time. Part g, please! Thanks! The magnetic field of a linearly polarized electromagnetic plane wave is described by B.-(50 T) sin(kz-(3.4x1015 rad)); By-0; B.-0. 2 Consider the wave at time t = 0 and position (x, y, z) = (0, 0, ?/2k). Let the +x-direction point to the right, the +y-direction point up the page,...
4. Plot the locus of E(0,t) for a plane wave with Ē (z,t) = î cos(wt+kz) +ŷ 1.3 sin(wt + kz) (V/m) Determine the polarization state from your plot. Determine the direction of propagation of the wave.
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...
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 27 Consider the following figure that represents the propagation of EM wave (E is red, B is blue color). The equations for the wave are: х y a. E =Emarsin(ky-wt)1,8 =B mex sin(ky -wt) O b. E = Emasin(kz -wt)î,=B mersin(kz -wt)Ã E = max sin(kz-wt) K, =B mar sin(kz-wt) k d. E = Emaxsin(kx-wt)1,3 =B max sin(ky -wt)ſ
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...
5.11 THOUGHT PROBLEMS 5.1 Traveling wave Consider a plane wave in SI units described by X 14 E = 5 cos 31 10" (t –) + 5. x ] C What is the wave's (a) Frequency? (b) Wavelength? (c) Amplitude? (d) Direction of propagation?