University Physics with Modern Physics Plus Mastering Physics with eText -- Access Card Package (14th Edition)
14th Edition
ISBN: 9780321982582
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Question
Chapter 32, Problem 32.11E
(a)
To determine
The direction of the wave.
(b)
To determine
The wavelength of the wave.
(c)
To determine
The vector equation for
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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.
An electromagnetic plane wave is propagating with an intensity I =1.0×10° Wm² in a
medium with
= 3 e, and µ= Ho. The amplitude of the electric field inside the medium
is
x10' Vm (up to one decimal place).
(e,= 8.85x10-12C?N¯'m², µ, = 47x10 NA,c= 3x10° ms)
Chapter 32 Solutions
University Physics with Modern Physics Plus Mastering Physics with eText -- Access Card Package (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
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