B(, t) = Bmar sin(kx - wt). (e) Using Faraday's law, find the electric field induced...
1. Assume that the light of electric field B(x,t) Eo sin(kx - at) coming from the single slit can be divided into N identical waves with electric fields of the form E (x,t) E sin(kx - wt), E2(x, t) B sin (kx- c 2) E(x,t) = wt + - and the phase difference between the first and the Nth E sin kx- wt + waves is . The amplitudes of the electric fields have a relation Eo NE Assume that...
E=sin(kx-wt) z. and B=-sin(kx-wt) y. z and y are unit vector and this means EM wave propagates along x axis. what is gonna be the E field B field equation when it propagates with 45 degree on xy plane like picture??
7. An EM wave is produced and has the following waves: E = Emax sin(kx-1200x10 st) B= -2x10 sin(kx -t) in some direction a. find all the missing information in the electric and magnetic waves and rewrite them. b. What direction does the wave travel in? What direction is the magnetic field? c. What is the average intensity of the wave at its source? d. What kind of EM wave is this? How is it produced? e. The wave is...
1. Magnetic field in free space obeys the dependence i = 0.1(4ä, +38,) sin (wt - 2.10%(-3x + 4y)) in the St units. A) What are the wave vector and the frequency w?: B)Show that this dependence is consistent with Maxwell equations for the plane wave; C) Use the phasor method and find the electric field of this wave.
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
4. (30) A linearly polarized electromagnetic wave has the following magnetic field component: B(x,t)-Bo sin(kr -ut) Calculate the electric field of the electromagnetic wave by using the Maxwell term of the Ampere-Maxwell equation, evaluating the curl of the magnetic field, and then integrating to get the electric field.
8. In a lossless Eq, λ and H. dielectric for which η,:20π, μ.-1,and E(z,t) 94πcos(wt +2z) a/m. Calculate 9. A plane wave in a lossless medium has H(z,t) 0.2 cos(ot-62)-y 2 sin(ot -6z) AV/m. Find a) The direction of wave propagating. b) εr and a. c) E(z,t). 10. The electric field component of an electromagnetic wave in free-space is given by E.z,t)Eocos(ay)sin wt -kx) V/rm (Hint: Use the identity 2 sin a cos b (sina+ b) +sin(a -b)) a) Find...
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 *...
please help Problem 5-15pts A magnetic field B points in the x-direction and electric field E points in the 2-direction. A positive particle at rest is released from the origin. a) Starting with general solution y(t) = 6 cos wt + C sin wt + + + C3; z(t) = C2 cos wt - Csin wt + C4 and using initial conditions, determine the constants G,C2, Cand C, and write the exact solution (10pts) b) Find the trajectory of the...
9.28 The electric field intensity of a spherical wave in free space is given by E = sin 0 cos(wt – Br)a, V/m Find the corresponding magnetic field intensity H.