The magnetic field of a wave propagating through a certain nonmagnetic material in the positive y direction has an amplitude of 30 mA/m and a frequency of 10 Hz . If the wave is polarized on the positive z direction and its wavelength is 12.6 meter, find the equation of the instantaneous Electric field. Assume the initial phase is 0. Select one: O a. E(y, t) = –2.4rīcos(10°t – y) V/m O b. E(y, t) = 2400žcos(2710°t – 12.6y) V/m O c. E(y, t) = 2.4nīcos(10°t – y) V/m 12.6 O d. E(z, t) = 2.4ýcos(10°t – 2) mv/m 12.6 O e. E(y, t) = 1.6žcos(t – 2.10°ry) v/m 12.6 O f. E(y, t) = 30zcos(10°t + y) mv/m 27 12.6

The magnetic field of a wave propagating through a certain nonmagnetic material in the positive y direction has an amplitude of 30 mA/m and a frequency of 10 Hz . If the wave is polarized on the positive z direction and its wavelength is 12.6 meter, find the equation of the instantaneous Electric field. Assume the initial phase is 0. Select one: O a. E(y, t) = –2.4rīcos(10°t – y) V/m O b. E(y, t) = 2400žcos(2710°t – 12.6y) V/m O c. E(y, t) = 2.4nīcos(10°t – y) V/m 12.6 O d. E(z, t) = 2.4ýcos(10°t – 2) mv/m 12.6 O e. E(y, t) = 1.6žcos(t – 2.10°ry) v/m 12.6 O f. E(y, t) = 30zcos(10°t + y) mv/m 27 12.6

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

Sunlight, with an intensity of 643 W/m², strikes a flat collecting surface perpendicularly and is totally absorbed. The area of the surface is 8.55 m². What is the force F in micronewtons that acts on the surface due to the sunlight? F = με
Lasers can be constructed that produce an extremely high intensity electromagnetic wave for a brief time. These devices are called pulsed lasers and can be used to ignite nuclear fusion, for example. Consider a pulsed laser that produces an electromagnetic wave with a maximum electric field strength of 1.25×10^11 V/m for a duration of 1.00 ns. What energy does it deliver on a 1.00 mm^2 area? Give your answer in units of kilojoules.
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 = >
A certain electromagnetic field traveling in vacuum has a maximum electric field of 2000 V/m. What is the maximum magnetic field of this wave?
Suppose you have an electric field as a result of superposition of two waves given by Ē(z, t) = Eo cos(kz - wt) + Eo cos(kz + wt)â. a. Simplify Ē(z, t) as one term and find its associated magnetic field b. Find the instantaneous and time-averaged energy density.
An electromagnetic wave with frequency 65.0 Hz travels in an insulating magnetic material that has dielectric constant 3.64 and relative permeability 5.18 at this frequency. The electric field has amplitude 7.20 × 10-³ V/m. Part A What is the speed of propagation of the wave? 17 ΑΣΦ V= Submit Request Answer Part B What is the wavelength of the wave? ΠΙ ΑΣΦ X = Submit Request Answer ? ? m/s m
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
There is a vector defined by John Henry Poynting in 1884 whose direction gives the direction that an electromagnetic wave transmits its field energy and whose magnitude is the rate at which energy is being transmitted per square meter of the wavefront. For mutually perpendicular E- and B-fields in the wave, the magnitude of the Poynting vector is S =EB/mu0 and the direction is given by a right-hand rule, curling fingers from E vector and B vector. a) Carefully analyze the units of the Poynting vector and show that they are indeed watts per square meter. b) Find the intensity of the light in a beam of light whose electric field strength is 360 N/C and whose magnetic field is 1.2 muT.
The electric field of an electromagnetic wave in a vacuum is Ey =( 23.0 V/m)cos((V/m)cos(( 9.78 ×108)x−ωt), where x is in mm and t is in s. What s the wave's wavelength? Express your answer with the appropriate units. What is the wave's frequency? Express your answer with the appropriate units. What is the wave's magnetic field amplitude? Express your answer with the appropriate units.
The magnetic field component of a plane electromagnetic wave obeys the following expression. Determine the direction of the electric field component of the wave at t=0, y=0. negative y Onegative x O negative z Opositive z the xy plane Opositive x positive y B = Bo cos(ky+wt)i
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?
Please keep all decimals