Harmonics are integer multiples of a fundamental frequency found in waves. They are equally spaced and identified by adding the fundamental frequency repeatedly. Harmonic motions have patterns including the fundamental first harmonic wave and higher integer harmonic waves like the second and third. The frequency of each harmonic depends on the speed of waves in the medium and the wavelength, which relate to properties of the medium and its length. Videos demonstrate harmonic patterns in waves and their relation to frequency.

1. Pandu Ekoyudho
Physics
24 November 2014

2. What Is Harmonics?
• Component frequency in a wave, that is an integer multiple of
the fundamental frequency
• Equally spaced by the width of the fundamental frequency
• Found by repeatedly adding the f. frequency
• Harmonic and inharmonic partials
• Current and voltage harmonics ( electrical power system)

3. Type of Harmonic Motions
Patterns
• Fundamental Frequency or First Harmonic Wave Pattern.
• Second Harmonic Wave Pattern.
• Third Harmonic Wave Pattern.

4. First Harmonic Wave Pattern
• The first pattern is the simplest wave pattern.
• It occurs at low frequencies f= 440Hz

5. Second Harmonic Wave Pattern
• f= 880Hz

6. Third Harmonic Motions
• f= 1320

7. Functions

8. How Does Frequency Related
to Harmonics?
• The frequency associated with each harmonic is dependent upon the speed at
which waves move through the medium and the wavelength of the medium.
• The speed at which waves move through a medium is dependent upon the
properties of the medium (tension of the string, thickness of the string, material
composition of the string, etc.).
• The wavelength of the harmonic is dependent upon the length of the string and
the harmonic number (first, second, third, etc.).
• Variations in either the properties of the medium or the length of the medium will
result in variations in the frequency at which the string will vibrate.

9. Video!
• https://www.youtube.com/watch?v=FzeZbJceKZE

10. Citation
• https://www.youtube.com/watch?v=FzeZbJceKZE
• http://www.physicsclassroom.com/class/waves/Lesson-4/Harmonics-and-Patterns
• http://www.physicsclassroom.com/class/sound/Lesson-4/Fundamental-Frequency-
and-Harmonics
• http://en.wikipedia.org/wiki/Harmonic