(a)
The instantaneous Poynting vector.
(a)
Answer to Problem 51P
The instantaneous Poynting vector is
Explanation of Solution
Given:
The electric field of first wave is
The electric field of second wave is
Formula used:
The expression for instantaneous Poynting vector is given by,
Calculation:
The instantaneous Poynting vector is calculated as,
Conclusion:
Therefore, the instantaneous Poynting vector is
(b)
The time averaged Poynting vector.
(b)
Answer to Problem 51P
The time averaged Poynting vector is
Explanation of Solution
Calculation:
Consider the relation,
The time average of the square of the cosine term is
Conclusion:
Therefore, the time averaged Poynting vector is
(c)
The instantaneous and time average Poynting vector.
(c)
Answer to Problem 51P
The instantaneous and time averaged Poynting vector are
Explanation of Solution
Given:
The direction of propagation of second wave is
Calculation:
The instantaneous Poynting vector is calculated as,
The time averaged Poynting vector is,
Conclusion:
Therefore, the instantaneous and time averaged Poynting vector are
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Physics for Scientists and Engineers
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