Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Question
Chapter 34, Problem 11PQ
To determine
The magnitude and direction of the magnetic field at point A.
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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 sinusoidal electromagnetic wave propagates in the +x direction through empty space. Its electric field is described by
E = (2.02E4 V/m) × sin ((2.06E11 rad/s) t – (687 rad/m) x ) .
What is the magnetic field amplitude of this electromagnetic wave (in T)?
32.2.2
The electric field in a sinusoidal electromagnetic wave in vacuum is given by E→(y, t)=i(2.45×106 V/m)cos[(6.50×106 rad/m)y−ωt] Find (a) the wavelength, (b) the angular frequency ωω, and (c) the direction of wave propagation. (d) Write the wave function for the magnetic field.
Chapter 34 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 34.1 - Prob. 34.1CECh. 34.2 - Prob. 34.2CECh. 34.4 - The electric part of an electromagnetic wave is...Ch. 34.5 - Prob. 34.4CECh. 34.5 - Prob. 34.5CECh. 34.6 - Prob. 34.6CECh. 34.8 - Prob. 34.7CECh. 34 - Prob. 1PQCh. 34 - Prob. 2PQCh. 34 - A circular coil of radius 0.50 m is placed in a...
Ch. 34 - Prob. 4PQCh. 34 - A solenoid with n turns per unit length has radius...Ch. 34 - Prob. 6PQCh. 34 - Prob. 7PQCh. 34 - Prob. 8PQCh. 34 - Prob. 9PQCh. 34 - Prob. 10PQCh. 34 - Prob. 11PQCh. 34 - Prob. 12PQCh. 34 - Prob. 13PQCh. 34 - Prob. 14PQCh. 34 - Prob. 15PQCh. 34 - Prob. 16PQCh. 34 - Prob. 17PQCh. 34 - Prob. 18PQCh. 34 - Prob. 19PQCh. 34 - Prob. 20PQCh. 34 - Ultraviolet (UV) radiation is a part of the...Ch. 34 - Prob. 22PQCh. 34 - What is the frequency of the blue-violet light of...Ch. 34 - Prob. 24PQCh. 34 - Prob. 25PQCh. 34 - Prob. 26PQCh. 34 - WGVU-AM is a radio station that serves the Grand...Ch. 34 - Suppose the magnetic field of an electromagnetic...Ch. 34 - Prob. 29PQCh. 34 - Prob. 30PQCh. 34 - Prob. 31PQCh. 34 - Prob. 32PQCh. 34 - Prob. 33PQCh. 34 - Prob. 34PQCh. 34 - Prob. 35PQCh. 34 - Prob. 36PQCh. 34 - Prob. 37PQCh. 34 - Prob. 38PQCh. 34 - Prob. 39PQCh. 34 - Prob. 40PQCh. 34 - Prob. 41PQCh. 34 - Prob. 42PQCh. 34 - Prob. 43PQCh. 34 - Prob. 44PQCh. 34 - Prob. 45PQCh. 34 - Prob. 46PQCh. 34 - Prob. 47PQCh. 34 - Prob. 48PQCh. 34 - Prob. 49PQCh. 34 - Prob. 50PQCh. 34 - Prob. 51PQCh. 34 - Prob. 52PQCh. 34 - Optical tweezers use light from a laser to move...Ch. 34 - Prob. 54PQCh. 34 - Prob. 55PQCh. 34 - Prob. 57PQCh. 34 - Prob. 58PQCh. 34 - Prob. 59PQCh. 34 - Prob. 60PQCh. 34 - Some unpolarized light has an intensity of 1365...Ch. 34 - Prob. 62PQCh. 34 - Prob. 63PQCh. 34 - Prob. 64PQCh. 34 - Unpolarized light passes through three polarizing...Ch. 34 - The average EarthSun distance is 1.00 astronomical...Ch. 34 - Prob. 67PQCh. 34 - Prob. 68PQCh. 34 - Prob. 69PQCh. 34 - Prob. 70PQCh. 34 - Prob. 71PQCh. 34 - Prob. 72PQCh. 34 - Prob. 73PQCh. 34 - Prob. 74PQCh. 34 - CASE STUDY In Example 34.6 (page 1111), we...Ch. 34 - Prob. 76PQCh. 34 - Prob. 77PQCh. 34 - Prob. 78PQCh. 34 - Prob. 79PQCh. 34 - Prob. 80PQCh. 34 - Prob. 81PQCh. 34 - Prob. 82PQCh. 34 - Prob. 83PQCh. 34 - In Section 34-1, we summarized classical...
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- Figure P24.13 shows a plane electromagnetic sinusoidal wave propagating in the x direction. Suppose the wavelength is 50.0 m and the electric field vibrates in the xy plane with an amplitude of 22.0 V/m. Calculate (a) the frequency of the wave and (b) the magnetic field B when the electric field has its maximum value in the negative y direction. (c) Write an expression for B with the correct unit vector, with numerical values for Bmax, k, and , and with its magnitude in the form B=Bmaxcos(kxt) Figure P24.13 Problems 13 and 64.arrow_forwardIf the magnetic field of a light wave oscillates parallel to a y axis and is given by By = Bm sin(kz- vt), (a) in what direction does the wave travel and (b) parallel to which axis does the associated electric field oscillate?arrow_forwardA plane electromagnetic wave, with wavelength 3.4 m, travels in vacuum in the positive direction of an x axis. The electric field, of amplitude 250 V/m, oscillates parallel to the y axis. What are the (a) frequency, (b) angular frequency, and (c) angular wave number of the wave? (d) What is the amplitude of the magnetic field component? (e) Parallel to which axis does the magnetic field oscillate? (f) What is the time-averaged rate of energy flow associated with this wave? The wave uniformly illuminates a surface of area 2.0 m2. If the surface totally absorbs the wave, what are (g) the rate at which momentum is transferred to the surface and (h) the radiation pressure?arrow_forward
- Consider 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_forwardA uniform circular disk of mass m = 24.0 g and radius r = 40.0 cm hangs vertically from a fixed, frictionless, horizontal hinge at a point on its circumference as shown in Figure P34.39a. A beam of electromagnetic radiation with intensity 10.0 MW/m2 is incident on the disk, in a direction perpendicular to its surface. The disk is perfectly absorbing, and the resulting radiation pressure makes the disk rotate. Assuming the radiation is always perpendicular to the surface of the disk, find the angle through which the disk rotates from the vertical as it reaches its new equilibrium position shown in Figure 34.39b. Figure 34.39arrow_forwardYou are working at NASA, in a division that is studying the possibility of rotating small spacecraft using radiation pressure from the Sun. You have built a scale model of a spacecraft as shown in Figure P33.47. The central body is a spherical shell with mass m = 0.500 kg and radius R = 15.0 cm. The thin rod extending from each side of the sphere is of mass mr = 50.0 g and of total length = 1.00 m. At each end of the rod arc circular plates of mass mp = 10.0 g and radius rp = 2.00 cm, with the center of each plate located at the end of the rod. One plate is perfectly reflecting and the other is perfectly absorbing. The initial configuration of this model is that it is at rest, mounted on a vertical axle with very low friction. To begin the simulation, you expose the model to sunlight of intensity Is = 1 000 W/m2, directed perpendicularly to the plates, for a time interval of t = 2.0 min. The sunlight is then removed from the model. Determine the angular velocity with which the model now rotates about the axle. Figure P33.47arrow_forward
- The 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_forwardA typical microwave oven operates at a frequency of 2.45 GHz. What is the wavelength associated with the electromagnetic waves in the oven? (a) 8.20 m (b) 12.2 cm (c) 1.20 108 m (d) 8.20 109 m (e) none of those answersarrow_forwardA dish antenna having a diameter of 20.0 m receives (at normal incidence) a radio signal from a distant source as shown in Figure P34.65. The radio signal is a continuous sinusoidal wave with amplitude Emax = 0.200 V/m. Figure P34.65 Assume the antenna absorbs all the radiation that falls on the dish. (a) What is the amplitude of the magnetic field in this wave? (b) What is the intensity of the radiation received by this antenna? (c) What is the power received by the antenna? (d) What force is exerted by the radio waves on the antenna?arrow_forward
- If 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_forwardA small laser emits light at power 5.00 mW and wavelength 633 nm. The laser beam is focused (narrowed) until its diameter matches the 1266 nm diameter of a sphere placed in its path. The sphere is perfectly absorbing and has density 5.00 *10^3 kg/m3.What are (a) the beam intensity at the sphere’s location, (b) the radiation pressure on the sphere, (c) the magnitude of the corresponding force, and (d) the magnitude of the acceleration that force alone would give the sphere?arrow_forward
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