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?

In SI units, the electric field in an electromagnetic wave is described by E, = 106 sin(1.40 × 10’x – wt). (a) Find the amplitude of the corresponding magnetic field oscillations. UT (b) Find the wavelength å. um (c) Find the frequency f. Hz

An industrial laser is used to burn a hole through a piece of metal. The average intensity of the light is 5 = 1.95 x 10⁹ W/m². What is the rms value of (a) the electric field and (b) the magnetic field in the electromagnetic wave emitted by the laser? (a) Number (b) Number i 2.23E6 i 4.06 Units nm + Units T +

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

The average intensity of sunlight reaching the earth is 1390 W/m2. A charge of 2.8 x 106 C is placed in the path of this electromagnetic wave. (a) What is the magnitude of the maximum electric force that the charge experiences? (b) If the charge is moving at a speed of 3.2 x 104 m/s, what is the magnitude of the maximum magnetic force that the charge could experience? (a) Number i Units (b) Number i Units eTextbook and Media

A plane electromagnetic wave is traveling in a vacuum. The magnetic field is directed along the z-axis and given by: B, = 3.0µT sin ((1.0 × 107 )x - (3.0 × 1015 )t ) a) Determine the wavelength , of the wave. b) What is the frequency, f, of the wave in Hertz? c) Determine the maximum strength of the B-field. d) Determine the maximum strength of the E-field and it direction. e) Can you find a time and place when the B-field is zero? f) What is the strength of the E-field when the B-filed is zero?