(a)
The frequency of the wave.
(a)
Answer to Problem 72PQ
The frequency of the wave is
Explanation of Solution
Write the expression for the frequency of an
Here
Substitute
Conclusion:
Thus, the frequency of the wave is
(b)
The magnitude and direction of electric field.
(b)
Answer to Problem 72PQ
The direction of the electric field is along the positive x-direction and the magnitude of the electric field is
Explanation of Solution
The direction of the electric field is along the positive x-direction, since the magnetic field is oscillating in the yz plane.
Write the expression for the maximum electric field of the electromagnetic wave.
Here,
Substitute
Conclusion:
Thus, the direction of the electric field is along the positive x-direction and the magnitude of the electric field is
(c)
The equation for the electric field of the electromagnetic wave.
(c)
Answer to Problem 72PQ
The equation for the electric field is
Explanation of Solution
Write the expression for the angular frequency of the wave.
Here
Write the expression for the wave number of the wave.
Here,
Write the expression for the electric field of an electromagnetic wave.
Conclusion:
Substitute
Substitute
Substitute
Therefore, the equation for the electric field is
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Chapter 34 Solutions
Physics for Scientist and Engineers (Foundations And Connection; Volume I and II) LLF edition
- 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_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_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
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