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IcedB
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Is the output equal in amplitude to the original wave?
When two waves are 90 degrees out of phase, it means that they have a phase difference of 90 degrees or a quarter of a cycle. This means that one wave is at its peak while the other is at its trough, resulting in a cancellation of amplitudes.
You can determine if two waves are 90 degrees out of phase by observing their waveforms. If the two waves have the same frequency and amplitude but are shifted by 90 degrees, they are considered to be 90 degrees out of phase. This can also be confirmed by measuring the phase difference between the two waves.
Mathematically, two waves that are 90 degrees out of phase can be represented by the equation y = Asin(ωt + π/2), where A is the amplitude, ω is the angular frequency, and t is time. The phase difference of π/2 indicates that the waves are shifted by 90 degrees.
When two waves are 90 degrees out of phase, they interfere destructively. This means that the amplitudes of the two waves cancel each other out, resulting in a net amplitude of zero. This interference pattern is known as a null or zero crossing.
One practical application of two waves that are 90 degrees out of phase is in noise cancellation technology. By producing a second wave that is 90 degrees out of phase with the original noise wave, the amplitudes cancel each other out, resulting in a reduction in overall noise. This is commonly used in noise-cancelling headphones and other audio devices.