Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
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Chapter 29, Problem 25E
To determine
The polarization direction of
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The magnetic field in a plane electromagnetic wave is represented by the equation B = Bmax sin(ky - wt)î where Bmax = 2.94 x 10 T and k = 5.86 x 10' /m. (Assume a standard xyz right-handed coordinate system.)
(a) What is the magnitude and direction of the electric field at the instant the magnetic field is a maximum? (Express your answer in vector form.)
Emax - 88.2k
V/m
(b) What is the wavelength of the wave?
10.7
How is the wavelength of EM waves related to the wave number? nm
(c) What is the frequency of the wave?
2.80E-15
How is the frequency related to the wavelength? Hz
A plane electromagnetic wave propagates in a vacuum in the -y-direction. The wave has a wavelength of 12 m, an angular frequency of 2.1e-9 s^-1 and the electric field is along the +x direction and has an amplitude of is 0.60 V/m. What is the mathematical expression for the magnetic field?
I am confused on how you solve this problem.
Chapter 29 Solutions
Essential University Physics (3rd Edition)
Ch. 29.2 - Would you expect to find a magnetic field between...Ch. 29.5 - Prob. 29.3GICh. 29.6 - Prob. 29.4GICh. 29.7 - Prob. 29.5GICh. 29.8 - Lasers 1 and 2 emit light of the same color, and...Ch. 29 - Why is Maxwells modification of Ampres law...Ch. 29 - Prob. 2FTDCh. 29 - Is there displacement current in an...Ch. 29 - Prob. 4FTDCh. 29 - Prob. 5FTD
Ch. 29 - When astronomers observe a supernova explosion in...Ch. 29 - Turning a TV antenna so its rods point vertically...Ch. 29 - The Sun emits about half of its...Ch. 29 - An LC circuit is made entirely from...Ch. 29 - Prob. 10FTDCh. 29 - The intensity of light drops as the inverse square...Ch. 29 - Electromagnetic waves dont readily penetrate...Ch. 29 - Prob. 13ECh. 29 - Prob. 14ECh. 29 - The fields of an electromagnetic wave are E = Ep...Ch. 29 - A radio waves electric field is given by the...Ch. 29 - A light-minute is the distance light travels in 1...Ch. 29 - Your intercontinental telephone call is carried by...Ch. 29 - An airplanes radar altimeter works by bouncing...Ch. 29 - Roughly how long does it take light to travel 1...Ch. 29 - If you speak via radio from Earth to an astronaut...Ch. 29 - What are the wavelengths of (a) a 100-MHz FM radio...Ch. 29 - A 60-Hz power line emits electromagnetic...Ch. 29 - Microwave ovens for consumers use operate at 2.45...Ch. 29 - Prob. 25ECh. 29 - Prob. 26ECh. 29 - Vertically polarized light passes through a...Ch. 29 - Prob. 28ECh. 29 - Prob. 29ECh. 29 - Estimate the peak electric field inside a 1.1-kW...Ch. 29 - Prob. 31ECh. 29 - Prob. 32ECh. 29 - Your university radio station has a 5.0-kW radio...Ch. 29 - Prob. 34PCh. 29 - Youre engineering a new cell phone, and youd like...Ch. 29 - Prob. 36PCh. 29 - The medical profession divides the ultraviolet...Ch. 29 - Prob. 38PCh. 29 - Prob. 39PCh. 29 - A polarizer blocks 75% of a polarized light beam....Ch. 29 - Prob. 41PCh. 29 - Unpolarized light of intensity S0 passes first...Ch. 29 - Prob. 43PCh. 29 - Prob. 44PCh. 29 - High microwave intensities can cause biological...Ch. 29 - Use the fact that sunlight intensity at Earths...Ch. 29 - A quasar 10 billion light-years from Earth appears...Ch. 29 - Prob. 48PCh. 29 - Prob. 49PCh. 29 - Find the peak electric and magnetic fields 1.5 m...Ch. 29 - A typical fluorescent lamp is a little more than 1...Ch. 29 - Prob. 52PCh. 29 - A laser produces an average power of 7.0 W in a...Ch. 29 - Prob. 54PCh. 29 - A 65-kg astronaut is floating in empty space. If...Ch. 29 - Prob. 56PCh. 29 - A white dwarf star is approximately the size of...Ch. 29 - Use appropriate data from Appendix E to calculate...Ch. 29 - Prob. 59PCh. 29 - Prob. 60PCh. 29 - In a stack of polarizing sheets, each sheet has...Ch. 29 - Prob. 62PCh. 29 - Prob. 63PCh. 29 - Maxwells equations in a dielectric resemble those...Ch. 29 - Prob. 65PCh. 29 - Your roommates father is CEO of a coal company, so...Ch. 29 - The Voyager I spacecraft is now beyond the outer...Ch. 29 - Prob. 68PCh. 29 - Prob. 69PCh. 29 - The table below shows the intensity of the radio...Ch. 29 - If a sunlight-powered sailing spacecraft...Ch. 29 - Prob. 72PPCh. 29 - A sail capable of propelling a spacecraft to the...Ch. 29 - Prob. 74PP
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- A plane electromagnetic wave travels northward. At one instant, its electric field has a magnitude of 6.0 V/m and points eastward. What are the magnitude and direction of the magnetic field at this instant?arrow_forwardThe magnetic field of a plane electromagnetic wave moving along the z axis is given by B =B0(coskz+t) j , where B0=5.001010 and k=3.10102m-1 . (a) Write an expression for the electric field associated with the wave. (b) What are the frequency and the wavelength of the wave? (C) What is its average Poynting vector?arrow_forwardA radio transmitter broadcasts plane electromagnetic waves whose maximum electric field at a particular location is 1.55103V/m . What is the maximum magnitude of the oscillating magnetic field at that location? How does it compare with Earth’s magnetic field?arrow_forward
- Suppose the magnetic field of an electromagnetic wave is given by B = (1.5 1010) sin (kx t) T. a. What is the maximum energy density of the magnetic field of this wave? b. What is maximum energy density of the electric field?arrow_forwardWhat is the maximum electric field strength in an electromagnetic wave that has a maximum magnetic field strength of 5.00104 (about 10 times Earth's magnetic field)?arrow_forwardA radio station broadcasts at a frequency of 760 kHz. At a receiver some distance from the antenna, the maximum magnetic field of the electromagnetic wave detected is 2.151011T . (a) What is the maximum electric field? (b) What is the wavelength of the electromagnetic wave?arrow_forward
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