Two waves with Amplitude of 75 units and 74 units arrive at a point in a medium simultaneously. If the two waves are out of phase with each other what is the resultant amplitude of the wave
Two waves with Amplitude of 75 units and 74 units arrive at a point in a medium simultaneously. If the two waves are out of phase with each other what is the resultant amplitude of the wave
Answer:
Resultant amplitude = 1 unit.
Explanation:
The amplitude of a wave is its maximum displacement during propagation.
Since the two waves are out of phase, the resultant amplitude can be determine by;
Resultant amplitude, =
=
= –
where is the phase difference.
Given that: = 75 units, = 74 units, so that;
= 75 – 74
= 1
The resultant amplitude of the two wave when out of phase is 1 unit.
Answer:
Resultant amplitude = 1 unit.
Explanation:
The amplitude of a wave is its maximum displacement during propagation.
Since the two waves are out of phase, the resultant amplitude can be determine by;
Resultant amplitude, [tex]A_{R}[/tex] = [tex]\sqrt{A_{1} ^{2} + A_{2} ^{2} + 2A_{1} A_{2}cos \alpha }[/tex]
= [tex]\sqrt{(A_{1} – A_{2} )^{2} }[/tex]
= [tex]A_{1}[/tex] – [tex]A_{2}[/tex]
where [tex]\alpha[/tex] is the phase difference.
Given that: [tex]A_{1}[/tex] = 75 units, [tex]A_{2}[/tex] = 74 units, so that;
[tex]A_{R}[/tex] = 75 – 74
= 1
The resultant amplitude of the two wave when out of phase is 1 unit.