Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Textbook Question
Chapter 31, Problem 62GP
Suppose that a right-moving EM wave overlaps with a left-moving EM wave so that, in a certain region of space, the total electric field in the y direction and magnetic field in the z direction are given by Ey = E0 sin (kx − ωt) + E0 sin (kx + ωt) and Bz = B0 sin (kx − ωt) – B0 sin (kx + ωt). (a) Find the mathematical expression that represents the standing electric and magnetic waves in the y and z directions, respectively. (b) Determine the Poynting vector and find the x locations at which it is zero at all times.
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Chapter 31 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 31.4 - Prob. 1AECh. 31.6 - Return to the Chapter-Opening Question, page 812,...Ch. 31.6 - What are the frequencies of (a) an 80-m-wavelength...Ch. 31.6 - Prob. 1DECh. 31.6 - If you are on the phone via satellite to someone...Ch. 31.6 - If your voice traveled as a sound wave, how long...Ch. 31 - An electric field E points away from you, and its...Ch. 31 - Prob. 2QCh. 31 - Prob. 3QCh. 31 - The electric field in an EM wave traveling north...
Ch. 31 - Is sound an electromagnetic wave? If not, what...Ch. 31 - Can EM waves travel through a perfect vacuum? Can...Ch. 31 - When you flip a light switch, does the overhead...Ch. 31 - Are the wavelengths of radio and television...Ch. 31 - What does the wavelength calculated in Example...Ch. 31 - Prob. 11QCh. 31 - In the electromagnetic spectrum, what type of EM...Ch. 31 - Can radio waves have the same frequencies as sound...Ch. 31 - Discuss how cordless telephones make use of EM...Ch. 31 - Can two radio or TV stations broadcast on the same...Ch. 31 - If a radio transmitter has a vertical antenna,...Ch. 31 - The carrier frequencies of FM broadcasts are much...Ch. 31 - A lost person may signal by flashing a flashlight...Ch. 31 - Determine the rate at which the electric field...Ch. 31 - Prob. 2PCh. 31 - At a given instant, a 2.8-A current flows in the...Ch. 31 - Prob. 4PCh. 31 - Prob. 5PCh. 31 - Prob. 6PCh. 31 - Prob. 7PCh. 31 - If the electric field in an EM wave has a peak...Ch. 31 - Prob. 9PCh. 31 - In an EM wave travelling west, the B field...Ch. 31 - Prob. 11PCh. 31 - Consider two possible candidates E(x, t) as...Ch. 31 - What is the frequency of a microwave whose...Ch. 31 - (a) What is the wavelength of a 25.75 109 Hz...Ch. 31 - How long does it take light to reach us from the...Ch. 31 - An EM wave has frequency 8.56 1014Hz. What is its...Ch. 31 - Electromagnetic waves and sound waves can have the...Ch. 31 - Prob. 18PCh. 31 - Prob. 19PCh. 31 - Prob. 20PCh. 31 - What is the minimum angular speed at which...Ch. 31 - Prob. 22PCh. 31 - The magnetic field in a traveling EM wave has an...Ch. 31 - Prob. 24PCh. 31 - A spherically spreading EM wave comes from a...Ch. 31 - Prob. 26PCh. 31 - Prob. 27PCh. 31 - A 15.8-mW laser puts out a narrow beam 2.00 mm in...Ch. 31 - Estimate the average power output of the Sun,...Ch. 31 - Prob. 30PCh. 31 - How practical is solar power for various devices?...Ch. 31 - The Arecibo radio telescope in Puerto Rico can...Ch. 31 - Estimate the radiation pressure due to a 75-W bulb...Ch. 31 - Prob. 35PCh. 31 - Prob. 36PCh. 31 - What size should the solar panel on a satellite...Ch. 31 - What is the range of wavelengths for (a) FM radio...Ch. 31 - Estimate the wavelength for 1.9-GHz cell phone...Ch. 31 - The variable capacitor in the tuner of an AM radio...Ch. 31 - A certain FM radio tuning circuit has a fixed...Ch. 31 - A satellite beams microwave radiation with a power...Ch. 31 - A 1.60-m-long FM antenna is oriented parallel to...Ch. 31 - Who will hear the voice of a singer first: a...Ch. 31 - Prob. 45GPCh. 31 - Prob. 46GPCh. 31 - A radio voice signal from the Apollo crew on the...Ch. 31 - Cosmic microwave background radiation fills all...Ch. 31 - What are E0 and B0 2.00 m from a 75-W light...Ch. 31 - Prob. 50GPCh. 31 - Prob. 51GPCh. 31 - How large an emf (rms) will he generated in an...Ch. 31 - The average intensity of a particular TV stations...Ch. 31 - A radio station is allowed to broadcast at an...Ch. 31 - A point source emits light energy uniformly in all...Ch. 31 - Suppose a 35-kW radio station emits EM waves...Ch. 31 - What is the maximum power level of a radio station...Ch. 31 - In free space (vacuum), where the net charge and...Ch. 31 - The metal walls of a microwave oven form a cavity...Ch. 31 - Imagine that a steady current I flows in a...Ch. 31 - Prob. 61GPCh. 31 - Suppose that a right-moving EM wave overlaps with...Ch. 31 - The electric and magnetic fields of a certain EM...
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