College Physics
1st Edition
ISBN: 9781938168000
Author: Paul Peter Urone, Roger Hinrichs
Publisher: OpenStax College
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Chapter 24, Problem 31PE
Find the intensity of an
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The electric field of an electromagnetic plane wave traveling in a vaccum is described by
E(x,y,z,t) = 200 (V/m)ex*ei(ky-ωt)
with k = 1.0 * 107/m and ω = 3 * 1015 rad/s
Find the vector expression that describes the corresponding magnetic field of this wave.
Find the intensity of the electromagnetic wave described in each case.
(a) an electromagnetic wave with a wavelength of 595 nm and a peak electric field magnitude of 4.7 V/m.
W/m?
(b) an electromagnetic wave with an angular frequency of 9.7 × 1018 rad/s and a peak magnetic field magnitude of 10-10 T.
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The electric field of an electromagnetic wave is given by; E=4.40 × 102 sin(3.10 × 106 π (x-3.0 ×108 t)) where everything is in SI units. What is the wave's frequency and amplitude of the magnetic field associated with the TEM wave?
Chapter 24 Solutions
College Physics
Ch. 24 - The direction of the electric field shown in each...Ch. 24 - Is the direction of the magnetic field shown in...Ch. 24 - Why is the direction of the current shown in each...Ch. 24 - In which situation shown in Figure 24.24 will the...Ch. 24 - In which situation shown in Figure 24.25 will the...Ch. 24 - Should the straight wire antenna of a radio he...Ch. 24 - Under what conditions might wires in a DC circuit...Ch. 24 - Give an example of interference of electromagnetic...Ch. 24 - Figure 24.26 shows the interference pattern of two...Ch. 24 - Can an antenna be any length? Explain your answer.
Ch. 24 - If you live in a region that has a particular TV...Ch. 24 - Explain why people who have the lens of their eye...Ch. 24 - How do ?uorescent soap residues make clothing look...Ch. 24 - Give an example of resonance in the reception of...Ch. 24 - Illustrate that the size of details of an object...Ch. 24 - Why don't buildings block radio waves as...Ch. 24 - Make a list of some everyday objects and decide...Ch. 24 - Your friend says mat more patterns and colors can...Ch. 24 - The rate at which information can be transmitted...Ch. 24 - Give an example of energy carried by an...Ch. 24 - In an MRI scan, a higher magnetic field requires...Ch. 24 - Laser vision correction often uses an excimer...Ch. 24 - Verify that the correct value for the speed of...Ch. 24 - Show that, when SI units for 0 and 0 are entered,...Ch. 24 - What is the maximum electric field strength in an...Ch. 24 - The maximum magnetic field strength of an...Ch. 24 - Verify the units obtained for magnetic field...Ch. 24 - (a) Two microwave frequencies are authorized for...Ch. 24 - (a) Calculate the range of wavelength for AM radio...Ch. 24 - A radio station utilizes frequencies between...Ch. 24 - Find the frequency range of visible light, given...Ch. 24 - Combing your hair leads to excess electrons on the...Ch. 24 - Electromagnetic radiation having a 15.0m...Ch. 24 - Approximately what is the smallest detail...Ch. 24 - A radar used to detect the presence of aircraft...Ch. 24 - Some radar systems detect the size and shape of...Ch. 24 - Determine the amount of time it takes for X-rays...Ch. 24 - If you wish to detect details of the size of atoms...Ch. 24 - If the Sun suddenly turned off, we would not know...Ch. 24 - Distances in space are often quoted in units of...Ch. 24 - A certain 50.0-Hz AC power line radiates an...Ch. 24 - During normal bee?ng, the heat creates a maximum...Ch. 24 - (a) The ideal size (most efficient) for a...Ch. 24 - (a) What is the wavelength of 100MHz radio waves...Ch. 24 - (a) What is the frequency at the 193-nm...Ch. 24 - TV-reception antennas for VHF are constructed with...Ch. 24 - Conversations with astronauts on lunar walks had...Ch. 24 - Lunar astronauts placed a reflector on the Moon's...Ch. 24 - Radar is used to determine distances to various...Ch. 24 - Integrated Concepts (a) Calculate the ratio of the...Ch. 24 - Integrated Concepts (a) Calculate the rate in...Ch. 24 - What is the intensity of an electromagnetic wave...Ch. 24 - Find the intensity of an electromagnetic wave...Ch. 24 - Assume the helium-neon lasers commonly used in...Ch. 24 - An AM radio transmitter broadcasts 50.0 kW of...Ch. 24 - Suppose the maximum safe intensity of microwaves...Ch. 24 - A 2.50-m-diameter university communications...Ch. 24 - Lasers can be constructed that produce an...Ch. 24 - Show that for a continuous sinusoidal...Ch. 24 - Suppose a source of electromagnetic waves radiates...Ch. 24 - Integrated Concepts An LC circuit with a 5.00pF...Ch. 24 - Integrated Concepts What capacitance is needed in...Ch. 24 - Integrated Concepts Police radar determines the...Ch. 24 - Integrated Concepts Assume the mostly infrared...Ch. 24 - Integrated Concepts On its highest power se1ting,...Ch. 24 - Integrated Concepts Electromagnetic radiation from...Ch. 24 - Integrated Concepts A 200-turn flat coil of wire...Ch. 24 - Integrated Concepts If electric and magnetic field...Ch. 24 - Unreasonable Results A researcher measures the...Ch. 24 - Unreasonable Results The peak magnetic field...Ch. 24 - Unreasonable Results An LC circuit containing a...Ch. 24 - Unreasonable Results An LC circuit containing a...Ch. 24 - Create Your Own Problem Consider electromagnetic...Ch. 24 - Create Your Own Problem Consider the most recent...
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- An electromagnetic wave with a peak magnetic field magnitude of 1.50 107 T has an associated peak electric field of what magnitude? (a) 0.500 1015 N/C (b) 2.00 105 N/C (c) 2.20 104 N/C (d) 45.0 N/C (e) 22.0 N/Carrow_forwardWhat is the intensity of an electromagnetic wave with a peak electric field strength of 125 Vim?arrow_forwardIf the electric field of an electromagnetic wave is oscillating along the z-axis and the magnetic field is oscillating along the x-axis, in what possible direction is the wave traveling?arrow_forward
- The electric field of an electromagnetic wave traveling in vacuum is described by the following wave function: E =(5.00V/m)cos[kx(6.00109s1)t+0.40] j where k is the wavenumber in rad/m, x is in m, t s in Find the following quantities: (a) amplitude (b) frequency (c) wavelength (d) the direction of the travel of the wave (e) the associated magnetic field wavearrow_forwardThe electric part of an electromagnetic wave is given by E(x, t) = 0.75 sin (0.30x t) V/m in SI units. a. What are the amplitudes Emax and Bmax? b. What are the angular wave number and the wavelength? c. What is the propagation velocity? d. What are the angular frequency, frequency, and period?arrow_forwardSuppose 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_forward
- 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_forwardConsider an electromagnetic wave traveling in the positive y direction. The magnetic field associated with the wave at some location at some instant points in the negative x direction as shown in Figure OQ24.12. What is the direction of the electric field at this position and at this instant? (a) the positive x direction (b) the positive y direction (c) the positive z direction (d) the negative z direction (e) the negative y direction Figure OQ24.12arrow_forwardThe amplitude of the electric field of an electromagnetic wave traveling in a vacuum is measured to be 3.8 ✕ 102 V/m. What is the amplitude of the magnetic field in this wave?arrow_forward
- Find the intensity of an electromagnetic wave having a peak magnetic field strength of 4.00×10−9 T.arrow_forwardThe magnetic field of an electromagnetic wave is given by B = 4.4 ✕ 10−10 sin(kx − ?t) T. (a) If the wavelength is 337 nm, what are the frequency, angular frequency, and wave number of this wave? f = Hz ? = rad/s k = rad/m (b) What is the total energy density of this wave? J/m3arrow_forwardThe magnetic field of an electromagnetic wave is given by: B=5.3×102sin[8.95×106π(x−3.0×108t)] where everything is in SI units. a) What is the wave's wavelength? b) What is the wave's frequency? c) What is the amplitude of the electric field?arrow_forward
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