University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Question
Chapter 32, Problem 32.12E
(a)
To determine
The direction of the wave travelling.
(b)
To determine
The frequency of the wave.
(c)
To determine
The expression for the electric field vector of electromagnetic waves.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
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 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
6. Use Maxwell's equations (see Section 4.1.1) to show that if the charge density field e and the current density
field J are zero, the electric vector field E satisfies the "wave equation"
c?V²E = 0.
This is the fundamental equation that describes the propagation of electromagnetic waves, such as light.
Chapter 32 Solutions
University Physics with Modern Physics (14th Edition)
Ch. 32.1 - (a) Is it possible to have a purely electric wave...Ch. 32.2 - Prob. 32.2TYUCh. 32.3 - The first of Eqs. (32.17) gives the electric field...Ch. 32.4 - Figure 32.13 shows one wavelength of a sinusoidal...Ch. 32.5 - Prob. 32.5TYUCh. 32 - By measuring the electric and magnetic fields at a...Ch. 32 - When driving on the upper level of the Bay Bridge,...Ch. 32 - Give several examples of electromagnetic waves...Ch. 32 - Sometimes neon signs located near a powerful radio...Ch. 32 - Is polarization a property of all electromagnetic...
Ch. 32 - Prob. 32.6DQCh. 32 - Prob. 32.7DQCh. 32 - Prob. 32.8DQCh. 32 - Prob. 32.9DQCh. 32 - Most automobiles have vertical antennas for...Ch. 32 - Prob. 32.11DQCh. 32 - Prob. 32.12DQCh. 32 - Does an electromagnetic standing wave have energy?...Ch. 32 - (a) How much time does it take light to travel...Ch. 32 - Consider each of the electric- and magnetic-field...Ch. 32 - Prob. 32.3ECh. 32 - Consider each of the following electric- and...Ch. 32 - BIO Medical X rays. Medical x rays are taken with...Ch. 32 - BIO Ultraviolet Radiation. There are two...Ch. 32 - Prob. 32.7ECh. 32 - Prob. 32.8ECh. 32 - Prob. 32.9ECh. 32 - Prob. 32.10ECh. 32 - Prob. 32.11ECh. 32 - Prob. 32.12ECh. 32 - Prob. 32.13ECh. 32 - An electromagnetic wave with frequency 65.0 Hz...Ch. 32 - Prob. 32.15ECh. 32 - BIO High-Energy Cancer Treatment. Scientists are...Ch. 32 - Prob. 32.17ECh. 32 - A sinusoidal electromagnetic wave from a radio...Ch. 32 - A space probe 2.0 1010 m from a star measures the...Ch. 32 - The energy flow to the earth from sunlight is...Ch. 32 - The intensity of a cylindrical laser beam is 0.800...Ch. 32 - A sinusoidal electromagnetic wave emitted by a...Ch. 32 - Prob. 32.23ECh. 32 - Television Broadcasting. Public television station...Ch. 32 - An intense light source radiates uniformly in all...Ch. 32 - In the 25-ft Space Simulator facility at NASAs Jet...Ch. 32 - BIO Laser Safety. If the eye receives an average...Ch. 32 - A laser beam has diameter 1.20 mm. What is the...Ch. 32 - Laboratory Lasers. He-Ne lasers are often used in...Ch. 32 - Prob. 32.30ECh. 32 - Microwave Oven. The microwaves in a certain...Ch. 32 - Prob. 32.32ECh. 32 - Prob. 32.33PCh. 32 - Prob. 32.34PCh. 32 - Prob. 32.35PCh. 32 - Prob. 32.36PCh. 32 - The sun emits energy in the form of...Ch. 32 - Prob. 32.38PCh. 32 - CP Two square reflectors, each 1.50 cm on a side...Ch. 32 - A source of sinusoidal electromagnetic waves...Ch. 32 - Prob. 32.41PCh. 32 - CP A circular wire loop has a radius of 7.50 cm. A...Ch. 32 - Prob. 32.43PCh. 32 - Prob. 32.44PCh. 32 - CP Global Positioning System (GPS). The GPS...Ch. 32 - Prob. 32.46PCh. 32 - CP Interplanetary space contains many small...Ch. 32 - Prob. 32.48PCh. 32 - DATA Because the speed of light in vacuum (or air)...Ch. 32 - DATA As a physics lab instructor, you conduct an...Ch. 32 - Prob. 32.51CPCh. 32 - Prob. 32.52CPCh. 32 - Prob. 32.53CPCh. 32 - BIO SAFE EXPOSURE TO ELECTROMAGNETIC WAVES. There...Ch. 32 - BIO SAFE EXPOSURE TO ELECTROMAGNETIC WAVES. There...Ch. 32 - Prob. 32.56PP
Knowledge Booster
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_forwardThe electric part of an electromagnetic wave is given by E(x, t) = 0.75 sin (0.30x t) V/m in SI units. a. What are the amplitudes Emax and Bmax? b. What are the angular wave number and the wavelength? c. What is the propagation velocity? d. What are the angular frequency, frequency, and period?arrow_forwardIf the electric field of an electromagnetic wave is oscillating along the z-axis and the magnetic field is oscillating along the x-axis, in what possible direction is the wave traveling?arrow_forward
- What is the intensity of an electromagnetic wave with a peak electric field strength of 125 Vim?arrow_forwardThe electric field of an electromagnetic wave is given by; E=4.40 × 102 sin(3.10 × 106 π (x-3.0 ×108 t)) where everything is in SI units. What is the wave's frequency and amplitude of the magnetic field associated with the TEM wave?arrow_forwardThe electric field of an electromagnetic wave traveling in vacuum is described by the following wave function: E → = (5.00 V/m) cos⎡ ⎣ kx −⎛ ⎝6.00 × 109s−1⎞⎠t + 0.40⎤⎦j^where k is the wavenumber in rad/m, x is in m, t is ins.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_forward
- The magnetic field, as a function of position and time, of an electromagnetic wave away from its source isB(z, t) = – (8.25 × 10–9 T) ĵ sin[(1.38 × 104 rad/m) z – ω t)].(a) Determine the linear frequency (in Hertz) and wavelength (in meters) of this wave.(b)Find the expression for the electric field (vector) with z and t as the only variables.(c) The wave is aimed at a 10cm × 10cm square which absorbs the wave completely. How much energy is delivered to the square each hour?arrow_forwardThe magnetic field of an electromagnetic wave is given by B(x,t)=(0.80 μT)sin[(9.00π×106 m−1)x−(2.70π×1015 s−1)t] Calculate the amplitude E0 of the electric field. Calculate the speed ?. Calculate the frequency ?.arrow_forwardThe magnetic field B(z,t)of an electromagnetic wave is given by B(z,t) = [(9.15 x 10-9T) jsin(3.25 × 104rad/m)z + wt]. O What is the wave number of the wave? (ii) What is the frequency of the wave? (iii) Write the vector equation for electric field. O a. (i) k = 3.25 × 10°rad/m (ii)f = 1.55 x 1012HZ (iii) Ē = +(2.75V/m)sin((3.25 x 10°rad\m)z+ (9.74 x 1012 )t)k O b. (i) k = 3.25 x 10°rad/m (ii)f = 1.55 x 101ºHZ (iii) Ē = -(2.75V/m)sin((3.25 × 10°rad\m)z + (9.74 x 1012 )t)3 O . (i) k = 3.25 x 10ʻrad/m (ii)f =1.55 x 10"Hz (ii) E = +(2.75V/m)sin((3.25 x 10ʻrad\m)z+ (9.74 x 1012 )t)k O d. (i) k = 3.25 × 10ʻrad/m (ii)f = 1.55 x 10" Hz (iii) Ē = –(2.75V/m)sin((3.25 x 10ʻrad\m)r+ (9.74 x 10)t)j O e. (i) k = 3.25 x 10ʻrad/m (ii)f = 1.55 x 101ºHZ (iii) Ē = +(2.75V/m)sin((3.25 x 10ʻrad\m)z + (9.74 x 102)t)karrow_forward
- A plane electromagnetic wave has the magnetic field given by B~ (x, y, z, t) = B0 sin (x + y)k√2+ ωtˆk where k is the wave number and ˆi, ˆj and ˆk are the Cartesian unit vectors in x, yand z directions, respectively.The electric field E~ (x, y, z, t) corresponding to the above wave is given byarrow_forwardThe magnetic field B(x, t)of an electromagnetic wave is given by B(x, t) = [(9.15 × 10 9T)jsin(3.25 × 10ʻrad/m)æ + wt]. (i) What is the wave number of the wave? (i) What is the frequency of the wave? (ii) Write the vector equation for electric field. O a. (i) k = 3.25 × 10ʻrad/m (ii)f = 1.55 x 10"Hz (iii) E = - (2.75V/m)sin((3.25 × 10ʻrad\m)æ + (9.74 x 102)t)} O b. (1) k = 3.25 x 10ʻrad/m (ii)f = 1.55 x 10"Hz (iii) Ē = +(2.75V/m)sin((3.25 x 10ʻrad\m)æ + (9.74 × 1012 )t)k O . (i) k = 3.25 × 10ʻrad/m (ii)f = 1.55 x 101²HZ (iii) Ē = +(2.75V/m)sin((3.25 × 10ʻrad\m)æ + (9.74 × 1012 )t)k O d. (i) k = 3.25 × 10°rad/m (ii)f = 1.55 × 101²HZ (iii) E = +(2.75V/m)sin((3.25 x 10°rad\m)x + (9.74 × 1012)t)k O e. (i) k = 3.25 × 10°rad/m (ii)f = 1.55 × 101²Hz (iii) Ē = -(2.75V/m)sin((3.25 x 10°rad\m)x + (9.74 × 1012)t)j %3Darrow_forwardFor a plane electromagnetic wave, the magnetic field at a point x and time t is B (x, t) = [1.2 × 10-7 sin (0.5 × 103 x + 1.5 × 1011 t) k] T. The instantaneous electric field E corresponding to B is: (speed of light c = 3 × 108 ms–1) 1) E (x, t) = [36 sin (1 × 103 x + 1.5 × 1011t) i] V / m 2) E (x, t) = [36 sin (0.5 × 103 x + 1.5 × 1011t) k] V / m 3) E (x, t) = [36 sin (1 × 103 x + 0.5 × 1011t) j] V / m 4) E (x, t) = [- 36 sin (0.5 × 103 x + 1.5 × 1011t) j] V / marrow_forward
arrow_back_ios
SEE MORE QUESTIONS
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
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