Asked by mayuri
two sinusoidal waves traveling in the same direction having same frequency but different amplitudes and maintaining a phase difference derive an expression for intensity of maxima and minima.
Answers
Answered by
Steve
the waves are
a sin(x) and b sin(x-k)
add them up and you have
a sinx + b(sinx cosk - cosx sink)
= (a+b*cosk)sinx - (b*sink)cosx
This is basically just
Asinx + Bcosx
which can be reduced to a single sine wave of amplitude √(A^2+B^2)
See a nice discussion at
https://en.wikibooks.org/wiki/Trigonometry/Simplifying_a_sin(x)_%2B_b_cos(x)
a sin(x) and b sin(x-k)
add them up and you have
a sinx + b(sinx cosk - cosx sink)
= (a+b*cosk)sinx - (b*sink)cosx
This is basically just
Asinx + Bcosx
which can be reduced to a single sine wave of amplitude √(A^2+B^2)
See a nice discussion at
https://en.wikibooks.org/wiki/Trigonometry/Simplifying_a_sin(x)_%2B_b_cos(x)
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