When getting phase angle difference, do amplitudes have to be positive

In summary, the conversation discusses the phase angle difference between two functions, $f(x)$ and $g(x)$, where $f(x)=32sin(x+60°)$ and $g(x)=-1.5sin(x+45°)$. The correct value for the phase angle difference is 225°, as it is defined as the difference between corresponding points on the two curves and should have the same sign.
  • #1
Vishera
72
1
$$f(x)=32sin(x+60°)\quad and\quad g(x)=-1.5sin(x+45°)$$

Would the phase angle difference here be 15° or is that incorrect? I think the amplitudes don't have to be the same but I'm not sure if they at least have to be both positive.
 
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  • #2
-sin(a) = sin(a+π). See what happens.
 
  • #3
n = 180 and a<90, for -sin(a) = sin(a+n)
 
  • #4
$$-1.5sin(x+45°)\\ =1.5sin(x+225°)$$

Here the phase angle difference is 165°. So which would be more correct? The phase angle difference is simply defined as the difference between the two phase angles in two sinusoids, right? So are they both right?
 
  • #5
When you look at the graphs, the phase difference is the difference between corresponding points (e.g. max) on the the two curves. Therefore they both need to expressed with the same sign. In this case 225° is the correct value for phase difference.
 

FAQ: When getting phase angle difference, do amplitudes have to be positive

1. What is phase angle difference?

Phase angle difference refers to the difference in phase between two waves or signals. It is the measure of how out of sync the two waves are in terms of their peaks and troughs.

2. How do you calculate phase angle difference?

The phase angle difference can be calculated by finding the difference between the phase angles of two waves at a specific point in time. This can be done using trigonometric functions such as sine, cosine, and tangent.

3. What is the relationship between phase angle difference and amplitude?

There is no direct relationship between phase angle difference and amplitude. The amplitude of a wave refers to its maximum displacement from its equilibrium position, while the phase angle difference refers to the difference in timing between two waves.

4. Do the amplitudes have to be positive when calculating phase angle difference?

No, the amplitudes do not have to be positive when calculating phase angle difference. The phase angle difference is determined by the timing or phase of the waves, not their amplitudes.

5. Why is it important to consider phase angle difference?

Phase angle difference is important in understanding the behavior of waves and signals. It can affect the interference and resonance of waves, and is crucial in fields such as acoustics, electronics, and telecommunications.

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