Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 33, Problem 49P
To determine
The resultant of two waves.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Please solve ASAP
Problem 1: The electric field in a radio (electromagnetic) plane wave is given by the equation(picture attached) E(x, t) = j0.09 sin(2.1r – 27 × 10^6 t) V/m with a in meters and t in seconds. All parts of this problem refer to this expression.
a) What is the direction of propagation of this wave? Choose one: +x -x -y +y +z -z b) What is the polarization? Choose one: X y or z
c) What is the wavelength? (Give a number, in meters)
d) What is the frequency? (Give a number, in Hz)
a) What is the direction of propagation of this wave? Choose one: +x -x -y +y +z -z b) What is the polarization? Choose one: X y or z
c) What is the wavelength? (Give a number, in meters)
d) What is the frequency? (Give a number, in Hz)
Two laser beams with wavelengths λ1=596 nm and λ;2=574 nm are aimed at the same point. The electric field from each laser in the y-direction behaves as the function, Ei,y(x,t)=A(sin2πfit−2πxλi) for i=1 or 2, and they propagate at a speed of light c. Both fields have the same amplitude, A=1 N/C.
Find the value of the total electric field in the y-direction Ey, in newtons per coulomb, at a time of exactly one femtosecond (10−15 seconds) if the position the lasers is aimed at is exactly 100 nanometers away from each laser.
A certain electromagnetic field traveling in vacuum has a maximum electric field of 1200 V/m.
What is the maximum magnetic field of this wave? (c = 3.0 × 10® m/s)
O 8.0 µT
2.4 uT
O 9.6 µT
4.0 µT
O 1.1 uT
Chapter 33 Solutions
Physics for Scientists and Engineers
Ch. 33 - Prob. 1PCh. 33 - Prob. 2PCh. 33 - Prob. 3PCh. 33 - Prob. 4PCh. 33 - Prob. 5PCh. 33 - Prob. 6PCh. 33 - Prob. 7PCh. 33 - Prob. 8PCh. 33 - Prob. 9PCh. 33 - Prob. 10P
Ch. 33 - Prob. 11PCh. 33 - Prob. 12PCh. 33 - Prob. 13PCh. 33 - Prob. 14PCh. 33 - Prob. 15PCh. 33 - Prob. 16PCh. 33 - Prob. 17PCh. 33 - Prob. 18PCh. 33 - Prob. 19PCh. 33 - Prob. 20PCh. 33 - Prob. 21PCh. 33 - Prob. 22PCh. 33 - Prob. 23PCh. 33 - Prob. 24PCh. 33 - Prob. 25PCh. 33 - Prob. 26PCh. 33 - Prob. 27PCh. 33 - Prob. 28PCh. 33 - Prob. 29PCh. 33 - Prob. 30PCh. 33 - Prob. 31PCh. 33 - Prob. 32PCh. 33 - Prob. 33PCh. 33 - Prob. 34PCh. 33 - Prob. 35PCh. 33 - Prob. 36PCh. 33 - Prob. 37PCh. 33 - Prob. 38PCh. 33 - Prob. 39PCh. 33 - Prob. 40PCh. 33 - Prob. 41PCh. 33 - Prob. 42PCh. 33 - Prob. 43PCh. 33 - Prob. 44PCh. 33 - Prob. 45PCh. 33 - Prob. 46PCh. 33 - Prob. 47PCh. 33 - Prob. 48PCh. 33 - Prob. 49PCh. 33 - Prob. 50PCh. 33 - Prob. 51PCh. 33 - Prob. 52PCh. 33 - Prob. 53PCh. 33 - Prob. 54PCh. 33 - Prob. 55PCh. 33 - Prob. 56PCh. 33 - Prob. 57PCh. 33 - Prob. 58PCh. 33 - Prob. 59PCh. 33 - Prob. 60PCh. 33 - Prob. 61PCh. 33 - Prob. 62PCh. 33 - Prob. 63PCh. 33 - Prob. 64PCh. 33 - Prob. 65PCh. 33 - Prob. 66PCh. 33 - Prob. 67PCh. 33 - Prob. 68PCh. 33 - Prob. 69PCh. 33 - Prob. 70PCh. 33 - Prob. 71PCh. 33 - Prob. 72PCh. 33 - Prob. 73PCh. 33 - Prob. 74PCh. 33 - Prob. 75PCh. 33 - Prob. 76PCh. 33 - Prob. 77PCh. 33 - Prob. 78PCh. 33 - Prob. 79PCh. 33 - Prob. 80PCh. 33 - Prob. 81PCh. 33 - Prob. 82PCh. 33 - Prob. 83PCh. 33 - Prob. 84PCh. 33 - Prob. 85PCh. 33 - Prob. 86PCh. 33 - Prob. 87P
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- The electric field of an electromagnetic wave traveling in vacuum is described by the following wave function: E =(5.00V/m)cos[kx(6.00109s1)t+0.40] j where k is the wavenumber in rad/m, x is in m, t s in Find the following quantities: (a) amplitude (b) frequency (c) wavelength (d) the direction of the travel of the wave (e) the associated magnetic field wavearrow_forwardFigure P24.13 shows a plane electromagnetic sinusoidal wave propagating in the x direction. Suppose the wavelength is 50.0 m and the electric field vibrates in the xy plane with an amplitude of 22.0 V/m. Calculate (a) the frequency of the wave and (b) the magnetic field B when the electric field has its maximum value in the negative y direction. (c) Write an expression for B with the correct unit vector, with numerical values for Bmax, k, and , and with its magnitude in the form B=Bmaxcos(kxt) Figure P24.13 Problems 13 and 64.arrow_forwardA Doppler weather radar station broadcasts a pulse of radio waves at frequency 2.85 GHz. From a relatively small batch of raindrops at bearing 38.6 east of north, the station receives a reflected pulse after 180 s with a frequency shifted upward by 254 Hz. From a similar batch of raindrops at bearing 39.6 east of north, the station receives a reflected pulse after the same time delay, with a frequency shifted downward by 254 Hz. These pulses have the highest and lowest frequencies the station receives, (a) Calculate the radial velocity components of both batches of raindrops. (b) Assume that these raindrops are swirling in a uniformly rotating vortex. Find the angular speed of their rotation.arrow_forward
- Three electromagnetic waves travel through a certain point P along an x axis. They are polarized parallel to a y axis, with the following variations in their amplitudes. Find their resultant at P. E1 = (5.0 × 10-5 V/m) sin[(4.0 × 1014 rad/s)t] E2 = (7.0 × 10-6 V/m) sin[(4.0 × 1014 rad/s)t + 45˚] E3 = (7.0 × 10-6 V/m) sin[(4.0 × 1014 rad/s)t - 45˚]arrow_forwardTwo laser beams with wavelengths λ1 = 556 nm and λ2 = 604 nm are aimed at the same point. The electric field from each laser in the y-direction behaves as the function, Ei,y(x,t) = A(sin(2πfit - 2πx/λi) for i = 1 or 2, and they propagate at a speed of light c. Both fields have the same amplitude, A = 1 N/C. λ1 = 556 nmλ2 = 604 nm Find the value of the total electric field in the y-direction Ey, in newtons per coulomb, at a time of exactly one femtosecond (10-15 s) if the position the lasers is aimed at is exactly 100 nm away from each laser.arrow_forwardThree electromagnetic waves travel through a certain point P along an x axis. They are polarized parallel to a y axis, with the following variations in their amplitudes. Find their resultant at P. E₁ (5.0 x 10-5 V/m) sin[(3.0 x 1014 rad/s)t] -E2= (6.0 x 10-6 V/m) sin((3.0 x 1014 rad/s)t + 45°] E3 = (6.0 x 10-6 V/m) sin[(3.0 x 1014 rad/s)t-45*] E = ( i i ✓) sin[(i x 1014 )t +arrow_forward
- Three electromagnetic waves travel through a certain point P along an x axis. They are polarized parallel to a y axis, with the following variations in their amplitudes. Find their resultant at P. E = (5.0 x 10-5 V/m) sin[(2.0 x 1014 rad/s)t] E2 = (7.0 x 10-6 V/m) sin[(2.0 × 1014 rad/s)t + 45°] Ez = (7.0 x 10 6 V/m) sin[(2.0 x 1014 rad/s)t - 45°] E = ) sin[C_ 1014 )t +arrow_forwardA regular sinusoidal plane wave, for which the following expression is given for the electric field intensity Ei(x,z)=ay10e-j(6z+8z) (V/m) The perfect conductor at z=0 hits the plane. a) Find the frequency and wavelength of the wave. b) Write the instantaneous expressions Ei(x,z;t) and Hi(x,z;t). c) Determine the angle of incidence. d)Find Er(x,z) and Hr(x,z) for the reflected wave.arrow_forwardA source of sinusoidal electromagnetic waves radiates uniformly in all directions. At a distance of 10.0 m from this source, the amplitude of the electric field is measured to be 3.20 N/Carrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning