A simple example where oscillations with two or more frequencies are combined?

In summary, oscillations with two or more frequencies combined can be seen in a musical chord played on a guitar or piano. These combined oscillations produce a unique sound due to constructive and destructive interference. The concept of beat frequencies can be explained by the periodic interference of two slightly different frequencies. The amplitudes of the individual oscillations determine the overall amplitude of the combined waveform. The frequency of the combined oscillations can be calculated by finding the average of the individual frequencies.
  • #1
Atlaπtis
23
0
I just need a simple example, preferably one to do with voltage.
thanks for any help :)
 
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  • #2
Search Internet images for "AM Modulation" and "Beat Frequency"

The AM Modulation set will show you what two ADDED sine waves look like when the frequencies are very different.

The Beat Frequency search will show you what two ADDED sine waves look like in general. Some will show you added sine waves that are nearly the same in frequency.

Addition is not the only way to combine sine waves.
 
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1. What is an example of oscillations with two or more frequencies combined?

An example of oscillations with two or more frequencies combined is a musical chord played on a guitar or piano. The individual strings or keys each produce their own frequency, but when played together, they create a harmonious combination of frequencies.

2. How do these combined oscillations produce a unique sound?

The combination of different frequencies in the oscillations creates a unique sound because the frequencies interact with each other, causing constructive and destructive interference. This results in a complex waveform that our ears perceive as a distinct sound.

3. Can you explain the concept of beat frequencies in this scenario?

In the case of two oscillations with slightly different frequencies, we can hear a pulsating sound called a beat. This is because the two frequencies periodically interfere with each other, creating a variation in the amplitude of the combined waveform.

4. How do the amplitudes of the individual oscillations affect the combined waveform?

The amplitudes of the individual oscillations determine the overall amplitude of the combined waveform. If the amplitudes are similar, the resulting waveform will have a higher amplitude. If one oscillation has a significantly higher amplitude, it will dominate the resulting waveform.

5. How is the frequency of the combined oscillations calculated?

The frequency of the combined oscillations is calculated by finding the average of the individual frequencies. For example, if two oscillations have frequencies of 100 Hz and 200 Hz, the resulting combined frequency would be (100 + 200)/2 = 150 Hz.

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