Part-CLong Question(0.5+0.5+1+1=3.marks)The magnetic field of an electromagnetic wave traveling in vacuum is described by the following wave functionB = (3.5 x 10-6 T) cos (kx- 8 x10° st+ n/8)Find the following quantities:(a) Magnetic field amplitude in tesla =(0.5 mark)(b) Frequency in Hz =(1 mark)(C) Wavelength in meters(0.75 mark)(d) Electric field amplitude in V/m =(0.75 mark)

find different values shown in question like amplitude of magnetic field , wavelength , frequency ,…

The magnetic field of an electromagnetic wave traveling in vacuum is described by the following wave function B = (3.5 x 10- T) cos (kx - 8 x10° sl t+n/8) Find the following quantities: (a) Magnetic field amplitude in tesla = (0.5 mark) (b) Frequency in Hz = (1 mark) (C) Wavelength in meters = (0.75 mark) (d) Electric field amplitude in V/m (0.75 mark)

The magnetic field of an electromagnetic wave traveling in vacuum is described by the following wave function B = (3.5 x 10- T) cos (kx - 8 x10° sl t+n/8) Find the following quantities: (a) Magnetic field amplitude in tesla = (0.5 mark) (b) Frequency in Hz = (1 mark) (C) Wavelength in meters = (0.75 mark) (d) Electric field amplitude in V/m (0.75 mark)

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

In SI units, the electric field in an electromagnetic wave is described by Ey = 102 sin(1.40 107x - wt). (a) Find the amplitude of the corresponding magnetic field oscillations.(b) Find the wavelength A.(C) Find the frequency f.
A plane electromagnetic wave traveling in the positive direction of an x axis in vacuum has components Ex = Ey = 0 and E₂ = (4.7 V/m) cos[(x 1015 s-¹)(t-x/c)]. (a) What is the amplitude of the magnetic field component? (b) Parallel to which axis does the magnetic field oscillate? (c) When the electric field component is in the positive direction of the z axis at a certain point P, what is the direction of the magnetic field component there? Assume that the speed of light is 2.998*108 m/s. (a) Number i Units
Electromagnetic radiation with wavelength 2 = 21.2 μm is classified as infrared radiation. Use c = 2.998 x 108 m/s. (a) What is the frequency of the radiation? x Hz 1.4141e3 (b) If the electric field has a maximum magnitude of 39.5 kV/m, what is the maximum strength of the corresponding magnetic field? 0.13175 mT (c) What are the rms values of the electric and magnetic fields? Erms: kv/m Brms: mT (d) Determine the maximum energy density stored in the: mJ/m³ xmJ/m³ Electric Field: 6.9072 Magnetic Field: 13.813 Electromagnetic Wave: 20.720 x_mJ/m³ (e) Determine the peak and average intensity of the electromagnetic wave. max: 12423.8319 x kW/m² avg: 6211.9159 xkW/m²
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?
The electric field of an electromagnetic plane wave traveling in a vaccum is described by E(x,y,z,t) = 200 (V/m)ex*ei(ky-ωt) with k = 1.0 * 107/m and ω = 3 * 1015 rad/s Find the vector expression that describes the corresponding magnetic field of this wave.
An electromagnetic wave in air is propagating in the +z direction; its peak E- is aligned with the x-axis and given by E0 = (1000,0,0) V m-1. The corresponding vector H0 for the magnetic field ( in Amps m-1) is : a) (2.65,0,0) b) (0,-2.65,0) c) (2.65, -2.65 ,0) d) (0,0,2.65)
The maximum magnetic field strength of an electromagnetic field is 5.5 × 10^-6 T. Randomized Variables B = 5.5 × 10-6 T Part (a) Calculate the maximum electric field strength in kV/m if the wave is traveling in a medium in which the speed of the wave is 0.75c.
An electromagnetic wave has an electric field given by E(z, t) = (2.98 x 105 V/m)î cos [kz – (12.65 × 10-12 rad/s) t] What is the wavelength, frequency, and direction of propagation of the wave? f 12.65 × 1012 Hz Propagation -i direction 2.98 x 10° m 1.49 x 10-4 m 2.01 × 1012 Hz +i direction -k direction b 2.98 x 105 m 12.65 × 1012 Hz d 1.49 x 10 2.01 × 1012 Hz +k direction m О А. а ОВ. Ь О С. С O D. d
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
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
The electric field of a harmonic plane electromagnetic wave propagating in vacuum is given by (0 , 0 , 4)cos(3x-ωt) V/m; hence the corresponding magnetic field is:
A certain 60.0 Hz AC power line radiates an electromagnetic wave having a maximum electric field strength of 45.2 kV/m. (a) What is the wavelength of this very low frequency electromagnetic wave? (b) What is its maximum magnetic field strength?