The amplitude and phase of a wave that is formed by the superposition of two harmonic travelling waves, 
and 
, are:
(Take the angular frequency of initial waves same as 
)
Text Solution
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To determine the amplitude and phase of the wave formed by the superposition of the two harmonic traveling waves, 
and 
, we use the
following steps:
First, calculate the resultant amplitude Ausing the formula for the resultant of two waves with different phases:
where:
(amplitude of the first wave)
(amplitude of the second wave)
(phase difference, given by 
).
Substituting the values, we get:
Therefore:
Next, compute the phase 
of the resultant wave:
Substituting these values, we get:
This simplifies to:
Thus, the amplitude and phase of the resultant wave are 
and 
respectively
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