(a)
The value of
(a)
Answer to Problem 83PQ
The value of
Explanation of Solution
Write the expression for the amplitude of electric field.
Here,
Conclusion:
Substitute
Thus, the value of
(b)
The wave number of the wave.
(b)
Answer to Problem 83PQ
The wave number of the wave is
Explanation of Solution
Write the expression for the wave number of the wave.
Here,
Conclusion:
Substitute
Therefore, the wave number of the wave is
(c)
The angular frequency of the wave.
(c)
Answer to Problem 83PQ
The angular frequency of the wave is
Explanation of Solution
Write the expression for the angular frequency of the wave.
Here,
Conclusion:
Substitute
Thus, the angular frequency of the wave is
(d)
The plane in which electric field oscillates.
(d)
Answer to Problem 83PQ
The electric field oscillates in the
Explanation of Solution
Since, the electric field is directed in the
(e)
The average value of the Poynting vector.
(e)
Answer to Problem 83PQ
The average value of Poynting vector is
Explanation of Solution
Write the expression for the average value of Poynting vector.
Here,
Conclusion:
Substitute
Thus, the average value of Poynting vector is
(f)
The pressure exerted by the wave on a lightweight solar sail.
(f)
Answer to Problem 83PQ
The pressure exerted by the wave on the solar sail is
Explanation of Solution
Write the expression for the pressure exerted by the wave on lightweight solar sail.
Here,
Conclusion:
Substitute
Thus, the pressure exerted by the wave on the solar sail is
(g)
The acceleration of the solar sail.
(g)
Answer to Problem 83PQ
The acceleration of the solar sail is
Explanation of Solution
Write the expression for the acceleration of the solar sail.
Here,
Write the expression for the area of the sail.
Conclusion:
Substitute
Thus, the acceleration of the solar sail is
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Chapter 34 Solutions
Student Solutions Manual For Katz's Physics For Scientists And Engineers: Foundations And Connections, Volume 1
- Figure P34.15 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 formarrow_forwardA certain 60.0-Hz ac power line radiates an electromagnetic wave having a maximum electric field strength of 13.0 kV/m. (a) What is the wavelength of this very-low-frequency electromagnetic wave? (b) What type of electromagnetic radiation is this wave (b) What is its maximum magnetic field strength?arrow_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_forward
- During normal bee?ng, the heat creates a maximum 4.00mv potential across 0.300 m of a person’s chest, creating a 1.00-Hz electromagnetic wave. (a) What is the maximum electric field strength created? (b) What is the corresponding maximum magnetic field strength in the electromagnetic wave? (c) What is the wavelength of the electromagnetic wave?arrow_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_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_forward(a) If the electric field and magnetic field in a sinusoidal plane wave were interchanged, in Which direction relative to before would the energy propagate? (b) What if the electric and the magnetic fields re both changed to their negatives?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_forward
- Lasers can be constructed that produce an extremely high intensity electromagnetic wave for a brief time—called pulsed lasers. They are used to initiate nuclear fusion, for example. Such a laser may produce an electromagnetic wave with a maximum electric field strength of 1.001011 V/m for a time of 1.00 ns. (a) What is the maximum magnetic field strength in the wave? (b) What is the intensity of the beam? (c) What energy does it deliver on an 1.00-mm2 area?arrow_forwardDuring normal beating, the heart creates a maximum 4.00-mV potential across 0.300 m of a person’s chest, creating a 1.00-Hz electromagnetic wave. (a) What is the maximum electric field strength created? (b) What is the corresponding maximum magnetic field strength in the electromagnetic wave? (C) What is the wavelength of the electromagnetic wave?arrow_forwardA dish antenna with a diameter of 20.0 m receives (at normal incidence) a radio signal from a distant source, as shown in Figure P21.73. The radio signal is a continuous sinusoidal wave with amplitude Emax = 0.20 V/m. Assume the antenna absorbs all the radiation that falls on the dish. (a) What is the amplitude of the magnetic field in this Figure P21.73 wave? (b) What is the intensity of the radiation received by the antenna? (c) What is the power received by the antenna?arrow_forward
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