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 32.41P
(a)
To determine
The direction and magnitude of electric field
(b)
To determine
. The direction and magnitude of magnetic field
(c)
To determine
. The direction and magnitude of Poynting vector
(d)
To determine
. The rate of energy flow into the volume occupied by length
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A cylindrical conductor with a circular cross section has a radius a and a resistivity r and carries a constant current I.
(a) What are the magnitude and direction of the electric-field vector E→ at a point just inside the wire at a distance a from the axis?
(b) What are the magnitude and direction of the magnetic-field vector B→ at the same point? (
c) What are the magnitude and direction of the Poynting vector S→ at the same point? (The direction of S→ is the direction in which electromagnetic energy flows into or out of the conductor.)
(d) Use the result in part (c) to find the rate of flow of energy into the volume occupied by a length l of the conductor. (Hint: Integrate S→ over the surface of this volume.) Compare your result to the rate of generation of thermal energy in the same volume. Discuss why the energy dissipated in a current-carrying conductor, due to its resistance, can be thought of as entering through the cylindrical sides of the conductor
a long, straight copper wire (diameter 2.50 mm and resistance 1.00 ohm per 300 m) carries a uniform current of 25.0 A in the positive x direction. For point P on the wire’s surface, calculate the magnitudes of (a) the electric field , (b) the magnetic field , and (c) the Poynting vector , and (d) determine the direction of S.
A parallel plate capacitor has circular cross-section with a radius of R and has a charge that varies as Q(t) = Q0 e-at, where Q0 and a are constants. Take the spacing between the plates to be small so that you can assume the electric field is uniform for r < R and vanishes for r > R.
b) Inside the capacitor (for r < R), what is the magnetic field as a function of time at a distance r from the center?
(Hint: use the Ampere-Maxwell law with the displacement current)
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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