Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Chapter 31.4, Problem 1AE
To determine
The direction of velocity of
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Imagine some waves that have frequency 2.1 x 10^10 Hz . At one particular instant the electric field component is 0.60 V/m and points downward. If the radiation is traveling Eastward, at that instant calculate: a) the wavelength. b) the magnitude and direction of the magnetic field.
The magnetic field in a given dielectric medium is given by ? = ?̂6cos (2?)sin (2×107?−0.1?) (A/m), where ? and ? are in meters. Determine:
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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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- 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_forwardIn a region of space, a magnetic field is uniform over space but increases at a constant rate. This changing magnetic field induces an electric field that (a) increases in time, (b) is conservative, (c) is in the direction of the magnetic field, or (d) has a constant magnitude.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_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_forwardRadio waves normally have their E and B fields in specific directions, whereas visible light usually has its E and B fields in random and rapidly changing directions that are perpendicular to each other and to the propagation direction. Can you explain why?arrow_forwardIn a region of space, the electric field is pointed along the x-axis, but its magnitude changes as described by Ex=(10N/C)sin(20x500t)Ey=Ez=0 where t is in nanoseconds and x is in cm. Find the displacement current through a circle of radius 3 cm in the x = 0 plane at I = 0.arrow_forward
- A parallel-plate capacitor with plate separation d is connected to a source of emf that places a time-dependent voltage V(t) across its circular plates of radius r0and area (a) Write an expression for the time rate of change of energy inside the capacitor in terms of V(t) and dV(t)/ dt. (b) Assuming that V(t) is increasing with time, identify the directions of the elecuic field lines inside the capacitor and of the magnetic field lines at the edge of the region between the plates, and then the direction of the Poynting vector S at this location. (c) Obtain expressions for the time dependence of E(t), for B(t) from the displacement current, and for the magnitude of the Poynting vector at the edge of the region between the plates. (d) From S , obtain an expression In terms of ‘(t) and dV(t)/dt for the rate at which electromagnetic field energy the region between the plates. (e) Compare the results of pails (a) and (d) and explain the relationship between them.arrow_forwardYou shine a flashlight due north and send it through a linear polarizer so that the light is vertically polarized. Along what direction does the magnetic field of that EM wave oscillate? (North-South, East-West, or UpDown)? Defend your answer.arrow_forwardOn a clear day at a certain location, a 100-V/m vertical electric field exists near the Earth's surface. At the same place, the Earth's magnetic field has a magnitude of 0.500 × 10-4 T. Compute the energy densities of the electric fieldarrow_forward
- (i.) Sunlight delivers 2.63x108 W/m2 to the surface of Venus. If the rms magnetic field strength is about 3.32x10−6 T, what is the rms value of the Sun’s electric field? (a) 9.95x107 N/C (b) 3.17x107 N/C (c) 2.49x107 N/C (d) 6.34x107 N/C (e) None of the above (ii.) What does the magnitude of the Poynting vector represent? The direction?arrow_forwardAn electromagnetic wave is traveling straight down towardthe center of the Earth. At a certain moment in time theelectric field points west. In which direction does the magnetic field point at this moment?(a) North. (d) West. (g) Either (a) or (b).(b) South. (e) Up. (h) Either (c) or (d).(c) East. (f) Down. (i) Either (e) or (f).arrow_forwardThe human heart creates the body's largest electromagnetic field. During normal beating, an electrocardiogram measures a voltage of 2.7 mV between two electrical contact pads on the chest that are separated by 25 cm. This creates an electromagnetic wave with a frequency of 1.2 Hz. (a) What is the wavelength of this wave? (b) What is the maximum value of the electric field in this wave? (c) What is the maximum value of the magnetic field? (d) What is the average total energy density in the wave? (a) Number 25E7 (b) Number .0108 Units 3 Units V/m (c) Number i 3.6E-11 Units T (d) Number i 5.16E-16 Units J/m^3arrow_forward
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