Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Question
Chapter 31, Problem 26P
(a)
To determine
Amplitude of electric field if amplitude of magnetic field is
(b)
To determine
The average power per unit area of an electromagnetic wave if amplitude of magnetic field is
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Question 3 of 17
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In the figure above, three uniform thin rods, each of length L, form
an inverted U. The vertical rods each have a mass m; the horizontal
rod has a mass 3m.
NOTE: Express your answer in terms of the variables given.
(a) What is the x coordinate of the system's center of mass?
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(b) What is the y coordinate of the system's center of mass?
Ycom
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Sketch the harmonic on graphing paper.
Exercise 1:
(a) Using the explicit formulae derived in the lectures for the (2j+1) × (2j + 1) repre-
sentation matrices Dm'm, (J/h), derive the 3 × 3 matrices corresponding to the case
j = 1.
(b) Verify that they satisfy the so(3) Lie algebra commutation relation:
[D(Î₁/ħ), D(Î₂/h)]m'm₁ = iƊm'm² (Ĵ3/h).
(c) Prove the identity
3
Dm'm,(β) = Σ (D(Ρ)D(Ρ))m'¡m; ·
i=1
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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