Why is the following situation impossible? An electromagnetic wave travels through empty space with electric and magnetic fields described by                       E = 9.00 × 103 cos [(9.00 × 106)x -(3.00 × 1015)t]                       B = 3.00 × 10-5 cos [(9.00 × 106)x -(3.00 × 1015)t]                where all numerical values and variables are in SI units.

At an instant in time, the electric and magnetic fields of an electromagnetic wave are given by É = -3.81 × 103k V/m and B = -1.27 x 10¬1'i T. Find the Poynting vector for this wave. (Express your answer in vector form.) S = W/m?

A stationary particle of charge q = 2.9 × 10-8 C is placed in a laser beam (an electromagnetic wave) whose intensity is 2.2 x 10³ W/m². Determine the maximum magnitude of the (a) electric and (b) magnetic forces exerted on the charge. If the charge is moving at a speed of 3.7 x 104 m/s perpendicular to the magnetic field of the electromagnetic wave, find the maximum magnitudes of the (c) electric and (d) magnetic forces exerted on the particle. (a) F = i (b) F = i (c) F = i (d) F = >

The magnetic component of an electromagnetic wave in vacuum has an amplitude of 95.0 nT and an angular wave number of 2.49 m-1. What are (a) the frequency of the wave, (b) the rms value of the electric component, and (c) the intensity of the light?

PS: Please make sure you put the answer in the correct unit. In SI units, the electric field in an electromagnetic wave is described by Ey = 114 sin(1.20  107x − ?t).

. The electric field associated with an electromagnetic wave in vacuum is given by E = i 40 cos (kz - 6 x 10°t), where E, z and t are in V/m, metre and second, respectively. The value of wave vector k is (a) 2 m-1 (c) 6 m-1 (b) 0.5 m- (d) 3 m-1

A linearly polarized sinusoidal electromagnetic wave moving in the positive x direction has a wavelength of 7.60 mm. The magnetic field of the wave oscillates in the xz plane and has an amplitude of 6.90 µT. The magnitude of the electric field vector for this wave can be written as E = Emax sin(kx – øt). What are the following? (a) the value of Emax 2070 V/m (b) the wave number k 826.73 m-1 (c) the angular frequency w 2.48e11 rad/s (d) the plane in which the electric field oscillates the xz plane the yz plane the xy plane (e) the average Poynting vector (Express your answer in vector form.) Sav 11.37 · 10°i X W/m² (f) the radiation pressure exerted by this wave on a perfectly reflecting lightweight solar sail 3.79e-5 Pa (g) the acceleration of the solar sail if its dimensions are 5.00 m x 8.00 m and its mass is 40.0 g 0.038 m/s²

A stationary particle of charge q = 2.4 × 10-8 C is placed in a laser beam (an electromagnetic wave) whose intensity is 2.5 × 103 W/m2. Determine the maximum magnitude of the (a) electric and (b) magnetic forces exerted on the charge. If the charge is moving at a speed of 3.7 × 104 m/s perpendicular to the magnetic field of the electromagnetic wave, find the maximum magnitudes of the (c) electric and (d) magnetic forces exerted on the particle.   PLEASE do A, B, C, and D

A certain guided wave travels through air with the following magnetic field H=10+ y cos(157x) sin[(67×10° rad/s)t - Bz] [A/m] (0.3) Find the associated and B. There are a couple ways to solve this problem. Note: this is NOT a plane wave, and be sure to understand why. Nevertheless it IS a valid solution of Maxwell's equations. You will see how guided waves like this come about