(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 Scientists and Engineers: Foundations and Connections
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- (a) What is the frequency of the 193-nm ultraviolet radiation used in laser eye surgery? (b) Assuming the accuracy with which this electromagnetic radiation can ablate (reshape) the cornea is directly proportional to wavelength, how much more accurate can this UV radiation be than the shortest visible wavelength of light?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 P24.63. The radio signal is a continuous sinusoidal wave with amplitude Emax = 0.200 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 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? Figure P24.63arrow_forwardA possible means of space flight is to place a perfectly reflecting aluminized sheet into orbit around the Earth and then use the light from the Sun to push this solar sail. Suppose a sail of area A = 6.00 105 m2 and mass m =6.00 103 kg is placed in orbit facing the Sun. Ignore all gravitational effects and assume a solar intensity of 1 370 W/m2. (a) What force is exerted on the sail? (b) What is the sails acceleration? (c) Assuming the acceleration calculated in part (b) remains constant, find the time interval required for the sail to reach the moon, 3.84 108 m away, starting from rest at the Earth.arrow_forward
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