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how does the phase decrease as the wave moves in the direction.delta of phase angle is directly proportional to delta of displacement phase angle=-k x where k is propagation constant and -undicates decrease in phase in the direction of wave.plz explain

how does the phase decrease as the wave moves in the direction.delta of phase angle is directly proportional to delta of displacement
phase angle=-k x where k is propagation constant and -undicates decrease in phase in the direction of wave.plz explain

Grade:11

1 Answers

SAGAR SINGH - IIT DELHI
879 Points
10 years ago

Dear student,

The phase of a wave refers to a sinusoidal function such as the following:

x(t) = A\cdot \cos( 2 \pi f t + \theta )\,
y(t) = A\cdot \sin( 2 \pi f t + \theta ) = A\cdot \cos( 2 \pi f t + \theta -\pi/2),\,

where A, f, and \scriptstyle \theta are constant parameters. These functions are periodic with period \scriptstyle T = 1/f, and they are identical except for a displacement of \scriptstyle T/4 along the \scriptstyle t axis. The term phase can refer to several different things:

  • It can refer to a specified reference, such as \scriptstyle \cos( 2 \pi f t)\,, in which case we would say the phase of \scriptstyle x(t) is \scriptstyle \theta, and the phase of \scriptstyle y(t) is \scriptstyle \theta -\pi/2.
  • It can refer to \scriptstyle \theta, in which case we would say \scriptstyle x(t) and \scriptstyle y(t) have the same phase but are relative to different references.

 

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Askiitians Expert

Sagar Singh

B.Tech, IIT Delhi

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