Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 33, Problem 11P
To determine
The reason for impossibility of situation.
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If the electric field and magnetic field of an electromagnetic wave are given by E = E0 sin(kx - ωt) and B = B0 sin(kx - ωt), and if the value of E0 is 51 µV/m, what is the value of B0? (c = 3.0 × 108 m/s)
Three electromagnetic waves travel through a certain point P along an x axis. They are polarized parallel to a y axis, with the following variations in their amplitudes. Find their resultant at P.
E1 = (5.0 × 10-5 V/m) sin[(4.0 × 1014 rad/s)t]
E2 = (7.0 × 10-6 V/m) sin[(4.0 × 1014 rad/s)t + 45˚]
E3 = (7.0 × 10-6 V/m) sin[(4.0 × 1014 rad/s)t - 45˚]
The magnetic field of an electromagnetic wave is given by
B(x,t)=(0.80 μT)sin[(9.00π×106 m−1)x−(2.70π×1015 s−1)t]
Calculate the amplitude E0 of the electric field.
Calculate the speed ?.
Calculate the frequency ?.
Chapter 33 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 33.1 - Prob. 33.1QQCh. 33.3 - What is the phase difference between the...Ch. 33.3 - Prob. 33.3QQCh. 33.5 - Prob. 33.4QQCh. 33.6 - Prob. 33.5QQCh. 33.7 - Prob. 33.6QQCh. 33.7 - Prob. 33.7QQCh. 33 - Prob. 1PCh. 33 - Prob. 2PCh. 33 - Prob. 3P
Ch. 33 - Prob. 4PCh. 33 - The distance to the North Star, Polaris, is...Ch. 33 - Prob. 6PCh. 33 - Prob. 7PCh. 33 - Prob. 8PCh. 33 - Prob. 9PCh. 33 - Prob. 10PCh. 33 - Prob. 11PCh. 33 - Prob. 12PCh. 33 - If the intensity of sunlight at the Earths surface...Ch. 33 - Prob. 14PCh. 33 - Prob. 15PCh. 33 - Review. Model the electromagnetic wave in a...Ch. 33 - Prob. 17PCh. 33 - Prob. 18PCh. 33 - Prob. 19PCh. 33 - Prob. 20PCh. 33 - Prob. 21PCh. 33 - The intensity of sunlight at the Earths distance...Ch. 33 - Prob. 23PCh. 33 - Prob. 24PCh. 33 - Prob. 25PCh. 33 - Prob. 26PCh. 33 - Extremely low-frequency (ELF) waves that can...Ch. 33 - A large, flat sheet carries a uniformly...Ch. 33 - Prob. 29PCh. 33 - Prob. 30PCh. 33 - Prob. 31PCh. 33 - Prob. 32PCh. 33 - Prob. 33APCh. 33 - Prob. 34APCh. 33 - Prob. 35APCh. 33 - Prob. 36APCh. 33 - Prob. 37APCh. 33 - One goal of the Russian space program is to...Ch. 33 - Prob. 39APCh. 33 - Prob. 40APCh. 33 - Prob. 41APCh. 33 - Prob. 42APCh. 33 - Prob. 43APCh. 33 - Prob. 44APCh. 33 - Review. (a) A homeowner has a solar water heater...Ch. 33 - Prob. 46APCh. 33 - Prob. 47APCh. 33 - Prob. 48APCh. 33 - Prob. 49APCh. 33 - Prob. 50CPCh. 33 - Prob. 51CP
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- 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_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
- 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_forwardFigure 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_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
- What is the intensity of an electromagnetic wave with a peak electric field strength of 125 Vim?arrow_forwardA 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_forwardAn 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_forward
- A 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_forwardThe following represents an electromagnetic wave traveling in the direction of the positive y-axis: Ex=0;E0cos(kxt);Ez=0Bx=0;By=0;Bz=B0cos(kxt) The wave is passing through a wide tube of circular cross- section of radius R whose axis is along they-axis. Find the expression for the displacement current through the tube.arrow_forwardA plane electromagnetic wave has the magnetic field given by B~ (x, y, z, t) = B0 sin (x + y)k√2+ ωtˆk where k is the wave number and ˆi, ˆj and ˆk are the Cartesian unit vectors in x, yand z directions, respectively.The electric field E~ (x, y, z, t) corresponding to the above wave is given byarrow_forward
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