University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Question
Chapter 32, Problem 32.6DQ
To determine
Whether the charge located in x-axis moves after the wave front reaches the charge.
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A plane electromagnetic wave of frequency 25 MHz travels in free space along the x-direction. At a particular point in space and time, E = 6.3 ˆj V/m. What is B at this point?
Problem 1. In class we will consider the sum of the electric field of two plane waves,
u:(z.t) and uz(z.t), both traveling in the positive z direction with slightly different
frequencies and propagation constants and with equal amplitudes. The electric fields of
both plane waves are oriented in the y direction, which means that they have the same
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u: (2.1) = cos(@t - kz)
uz(2.1) = cos ([o + Ao]t - [k + Ak]2)
We will show that the sum of these two waves produce an intensity envelope in time and
space that modulates the carrier frequency of m + Ao/2. The velocity of the envelope is
called the group velocity. Assume Ao is << than o.
For this problem, consider the sum of two slightly different waves with similar electric
fields:
v.(z) = sin(ot - kz)
vz(z1) = sin([o + Ao]t - [k + Ak]z)
Derive analytically an expression for a) the group and b) the phase velocity for the sum of
the two fields.
HINT: sinfa) +…
Consider a sinusoidal electromagnetic wave of the form Ex = c * By = E0 * sin [2 * pi * f * (t - z/c)], where E0 and f are constants. Assume that Ex and By do not depend on x or y, and that the other components of Evector and Bvector are zero. Show that this wave satisfies Maxwell's equations in empty space.
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
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