(a)
The direction in which the wave is travelling.
(a)
Answer to Problem 73PQ
The wave is travelling along the positive Z-direction.
Explanation of Solution
Since the given equation of the electric field of the wave contains the position variable ‘z’, therefore. The wave travels in the positive Z-direction.
Conclusion:
Therefore, the wave is travelling along the positive Z-direction.
(b)
The frequency, angular frequency and wave number of the wave.
(b)
Answer to Problem 73PQ
The frequency of the wave is
Explanation of Solution
Write the expression for the frequency of an
Here
Write the expression for the angular frequency of the wave.
Here,
Write the expression for the wave number of the wave.
Here,
Conclusion:
Substitute
Substitute equation (II) in the above equation to find
Substitute
Therefore, the frequency of the wave is
(c)
The direction in which the magnetic field of the wave oscillates.
(c)
Answer to Problem 73PQ
The magnetic field of the wave oscillates in the negative X-direction.
Explanation of Solution
Since, the wave is travelling along the Z direction, and the electric field oscillates along the Y-direction. Therefore, the magnetic field oscillates along the X-direction.
Conclusion:
Therefore, the magnetic field of the wave oscillates in the negative X-direction.
(d)
The equation of the magnetic field of the wave.
(d)
Answer to Problem 73PQ
The equation of the magnetic field of the wave is
Explanation of Solution
Write the expression for the maximum magnetic field.
Here,
Write the equation for the magnetic field.
Conclusion:
Substitute
Substitute
Therefore, the equation for the magnetic field is
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Chapter 34 Solutions
Physics for Scientists and Engineers: Foundations and Connections
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